Solve the equation by graphing. x^2+14x+45=0 First, graph the associated parabola by plotting the vertex and four additional points, two on each side of the vertex. Then, use the graph to give the solution(s) to the equation. If there is more than one solution, separate them with commas.

Points:
Solution(s):

Answers

Answer 1

wheres the image or graph so i can help u?

Answer 2

ok, we know that for
y=ax²+bx+c
the x value of the vertex is -b/(2a)
so
y=1x²+14x+45
vertex is -14/(2*1)=-14/2=-7

sub back to find y value
y=(-7)²+14(-7)+45
y=49-98+45
y=-4
the vertex is (-7,-4)

some other points are
(1,60)
(-1,32)
(-8,-3)
(-9,0)

we see that the solutions to y=0 and y=x^2+14x+45 is at x=-9 and x=-5

Related Questions

Evaluate the surface integral. (give your answer correct to at least three decimal places.) s is the boundary of the region enclosed by the cylinder x2 + z2 = 1 and the planes y = 0 and x + y = 2

Answers

Split up the surface [tex]S[/tex] into three main components [tex]S_1,S_2,S_3[/tex], where

[tex]S_1[/tex] is the region in the plane [tex]y=0[/tex] bounded by [tex]x^2+z^2=1[/tex];

[tex]S_2[/tex] is the piece of the cylinder bounded between the two planes [tex]y=0[/tex] and [tex]x+y=2[/tex];

and [tex]S_3[/tex] is the part of the plane [tex]x+y=2[/tex] bounded by the cylinder [tex]x^2+z^2=1[/tex].

These surfaces can be parameterized respectively by

[tex]S_1:~\mathbf s_1(u,v)=\langle u\cos v,0,u\sin v\rangle[/tex]
where [tex]0\le u\le1[/tex] and [tex]0\le v\le2\pi[/tex],

[tex]S_2:~\mathbf s_2(u,v)=\langle\cos v,u,\sin v\rangle[/tex]
where [tex]0\le u\le2-\cos v[/tex] and [tex]0\le v\le2\pi[/tex],

[tex]S_3:~\mathbf s_3(u,v)=\langle u\cos v,2-u\cos v,u\sin v\rangle[/tex]
where [tex]0\le u\le1[/tex] and [tex]0\le v\le2\pi[/tex].

The surface integral of a function [tex]f(x,y,z)[/tex] along a surface [tex]R[/tex] parameterized by [tex]\mathbf r(u,v)[/tex] is given to be

[tex]\displaystyle\iint_Sf(x,y,z)\,\mathrm dS=\iint_Sf(\mathbf r(u,v))\left\|\frac{\partial\mathbf r(u,v)}{\partial u}\times\frac{\partial\mathbf r(u,v)}{\partial v}\right\|\,\mathrm du\,\mathrm dv[/tex]

Assuming we're just finding the area of the total surface [tex]S[/tex], we take [tex]f(x,y,z)=1[/tex], and split up the total surface integral into integrals along each component surface. We have

[tex]\displaystyle\iint_{S_1}\mathrm dS=\int_{u=0}^{u=1}\int_{v=0}^{v=2\pi}u\,\mathrm dv\,\mathrm du[/tex]
[tex]\displaystyle\iint_{S_1}\mathrm dS=\pi[/tex]

[tex]\displaystyle\iint_{S_2}\mathrm dS=\int_{v=0}^{v=2\pi}\int_{u=0}^{u=2-u\cos v}\mathrm du\,\mathrm dv[/tex]
[tex]\displaystyle\iint_{S_2}\mathrm dS=4\pi[/tex]

[tex]\displaystyle\iint_{S_3}\mathrm dS=\int_{u=0}^{u=1}\int_{v=0}^{v=2\pi}\sqrt2u\,\mathrm dv\,\mathrm du[/tex]
[tex]\displaystyle\iint_{S_3}\mathrm dS=\sqrt2\pi[/tex]

Therefore

[tex]\displaystyle\iint_S\mathrm dS=\left\{\iint_{S_1}+\iint_{S_2}+\iint_{S_3}\right\}\mathrm dS=(5+\sqrt2)\pi\approx20.151[/tex]

Crystal reads 25 pages in 1/2 hours write an equation to represnets the relationship between the number of pages crystal reads and how much time she spends reading.

Answers

Crystal would read 37.5 pages in [tex]$ \frac{3}{4} $[/tex] hour.

To represent the relationship between the number of pages Crystal reads and the time she spends reading, we can use the formula:

[tex]\[ \text{Pages Read} = \text{Reading Rate} \times \text{Time Spent Reading} \][/tex]

In this case, Crystal reads 25 pages in 1/2 hour, so her reading rate can be calculated as follows:

[tex]\[ \text{Reading Rate} = \frac{\text{Pages Read}}{\text{Time Spent Reading}} \][/tex]

[tex]\[ \text{Reading Rate} = \frac{25 \text{ pages}}{\frac{1}{2} \text{ hour}} \][/tex]

[tex]\[ \text{Reading Rate} = 25 \times 2 \][/tex]

[tex]\[ \text{Reading Rate} = 50 \text{ pages per hour} \][/tex]

Now, we can substitute this reading rate into the equation to represent the relationship:

[tex]\[ \text{Pages Read} = 50 \times \text{Time Spent Reading} \][/tex]

This equation describes the relationship between the number of pages Crystal reads and the time she spends reading.

To illustrate how to use this equation, let's say Crystal reads for [tex]$ \frac{3}{4} $[/tex] hour. We can plug this value into the equation to find out how many pages she reads:

[tex]\[ \text{Pages Read} = 50 \times \frac{3}{4} \][/tex]

[tex]\[ \text{Pages Read} = 37.5 \][/tex]

So, Crystal would read 37.5 pages in [tex]$ \frac{3}{4} $[/tex] hour.

the hypotenuse of a right triangle is 24ft long. The length of one leg is 20ft more than the other. Find the length of the legs.

Answers

By the Pythagorean Theorem, the hypotenuse squared is equal to the sum of the sides squared...

h^2=x^2+y^2

We are told that y=x+20 and h=24 so

x^2+(x+20)^2=24^2

x^2+x^2+40x+400=576

2x^2+40x+400=576

2x^2+40x=176

x^2+20x=88

x^2+20x+100=188

(x+10)^2=188

x+10=±√188

x=-10±√188, x>0 so

x=-10+√188 ft

y=10+√188 ft

If you want approximations...

x≈3.71 ft

y≈23.71 ft

Final answer:

We can find the lengths of the legs of the right triangle using the Pythagorean theorem. One leg is x and the other leg is x+20. A quadratic equation can be solved to find x.

Explanation:

The problem involves a right triangle, and we are given the length of the hypotenuse and a relationship between the lengths of the legs. We can solve it using the Pythagorean theorem, which for a right triangle with legs of lengths 'a' and 'b' and hypotenuse 'c' is stated as a² + b² = c².

Let's assign 'x' to the shorter leg. Given that the other leg is 20ft longer, it would be 'x + 20'. The hypotenuse is given as 24, hence the equation becomes: x² + (x + 20)² = 24².

By solving this equation, we find two potential values for 'x', but since a length can't be negative, we exclude the negative value. Hence, the length of the shorter leg is 'x' and of the longer leg is 'x + 20'.

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On average, the merchandise shop sells 80 CDs for every 1 vinyl record. Estimate how many vinyl records they are likely to sell if the merchandise shop sells 760 CDs.

Answers

The merchandise shop sells 80 CDs for every 1 vinyl record. We have to find how many vinyl records they are likely to sell if the merchandise shop sells 760 CDs:
         80 CDs -------------------- 1 vinyl record
        760 CDs --------------------- x vinyl records
     ---------------------------------------------------------
        80 : 760 = 1 : x
        80 x = 760
        x = 760 : 80
        x = 9.5 or 9 ( we need a whole number )
       Answer: They are likely to sell 9 vinyl records.

Answer:

10 vinyl records are expected to be sold.

Step-by-step explanation:

On average, the merchandise shop sells 80 CDs per 1 vinyl record. This is our conversion factor. To estimate the number of vinyl records likely to be sold when 760 CDs have been sold we will use proportions.

760 CD × (1 vinyl record/ 80 CD) = 9.5 ≈ 10 (we round it off because you cannot sell half a vinyl record).

10 vinyl records are expected to be sold.

How to write two different pairs of decimals whose sums are 14.1. One pair should involve regrouping

Answers

To solve, first let’s define regrouping:
=> Regrouping involves carrying and borrowing during subtraction and addition of the given numbers.

So let us have the non-regrouping decimal number:
=> 8.4
Next, the other regrouping decimal
=> 5.7

So now let us show how it becomes 14.1:
8.4
+5.7
14.1

Starting from the right, 4 + 7 is equal 11, so bring down 1 and carry 1. Now 8+5 = 13, but 13 + carry 1 = 14
Thus, the answer is 14.1

If a number A is a 2 digit number and its digits are transposed to form number B, then the difference between the larger of the two numbers and the smaller of the two numbers must be divisible by:

Answers

if A=ab and B=ba then A-B=ab-ba which means 10a+b-10b-a=9a-9b=9(a-b)
so A-B is divisible by 9

The difference is a multiple of 9, so it is always divisible by 9.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The difference between the larger of the two numbers and the smaller of the two numbers.

A - B or B - A (whichever is greater)

If we transpose the digits of a two-digit number A to form B, then:

A = 10a + b, where a is the tens digit and b is the one's digit

B = 10b + a, where b is the tens digit and a is the one's digit

The difference between the two numbers.

= A - B

= (10a + b) - (10b + a)

= 9a - 9b

= 9(a - b)

B - A

= (10b + a) - (10a + b)

= 9b - 9a

= 9(b - a)

Either way, the difference is a multiple of 9, so it is always divisible by 9.

Therefore,

The difference is a multiple of 9, so it is always divisible by 9.

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You've decided you want a plant for your room. At the gardening store, there are 4 different kinds of plants (tulip, fern, cactus, and ficus) and 4 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot).
If you randomly pick the plant and the pot, what is the probability that you'll end up with a tulip in a plastic pot?

Answers

First find how many possibilities there are total. We can find this simply by multiplying the total number of plants, by the total number of pots.

4 x 4 = 16

There are 16 possibilities in all.
The probability that you'll end up with a tulip in a plastic pot is 1/16, because there's only one way to get a tulip in a plastic pot out of all 16.

The answer is 1/16. :)

** NEED THIS ANSWERED ASAP**

Find the indicated probability. Round to the nearest thousandth.

In a blood testing procedure, blood samples from 6 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative. If the probability that an individual sample tests positive is 0.11, what is the probability that the mixture will test positive?

a. 0.503
b. 0.00000177
c. 1.00
d. 0.497

Answers

A: you can find this by finding the complement, that being if all of the blood samples were negative, and then subtracting that from one. The probability of one blood sample testing negative is 0.89, raising that to the 6th power due to the 6 blood samples gives us about 0.497, and subtracting that from one gives us a, 0.503.

If I had a board that was 11 1/2 feet long and wanted to give it to 7 boys in equal pieces how long would each piece be?

Answers

11.5 divided by 7.5 = 1.6429, don't know what you are rounding the answer to, but each boy receives about 1.64 feet of the board.

What effect does adding a constant have on a exponential function?

Answers

For any rational function, when you add a constant term, assuming it's x

Then your function will be shifted up by x units.

Notice, if x is negative, then shifted up by negative number means shifted down by the absolute value

Final answer:

Adding a constant to an exponential function results in shifting the graph vertically or horizontally, depending on where the constant is added. The shift will be positive for a positive constant and negative for a negative constant.

Explanation:

In Mathematics, when dealing with an exponential function, adding a constant can affect the function in two different ways, depending on where the constant is being added. If the constant is added to the exponent, this results in shifting the graph horizontally. However, if the constant is added outside the exponent (as in f(x) = 2x + k), this will result in the entire graph being shifted upward or downward vertically, based on whether the constant is positive or negative.
For example, consider the simple exponential function f(x) = 2x. If a constant 'c' is added - resulting in f(x) = 2x + c, the resulting graph will be the same as the original, but shifted 'c' units upward if 'c' is positive and downward if 'c' is negative. This is a fundamental principle of exponential functions.

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Find the surface area of a cylinder with a diameter of 2 and an altitude of 16

Answers

The surface area of the cylinder is given by:
S.A=2πr^2+πdl
hence, the s.a of our solid will be:
S.A.=2*π*1^2+π*2*16
=6.283+100.531
=106.814 sq. units

A sealed rectangle or box measuring 8 x 6 x 18 contains 864 Sugar cubes each measuring one by one by one how many sugar cubes are touching the box

Answers

The arrangement of the 864 cubes would be 18 6 by 8 layers.

All 48 would be touching the bottom of the box on the bottom layer and all 48 would be touching the top of the box on the top layer.

The cubes along both lengths would be touching the sides of the box for the remaining 16 layers. That would be16 cubes per layer or 256 cubes after counting both sides.

The cubes along the width would be touching the ends of the box for those 16 layers. Those need to be eliminated from the count since the corner cubes were already counted as part of the ones touching the sides. 4 cubes have not been previously counted for each width of 6 cubes. Both ends of the 16 layers has 8 cubes per layer or 128 cubes.

Therefore, that is 256 (sides) + 128 (ends) + 48 (top) + 48 (bottom) and that totals to 480 cubes touching the box.

which line would best fit the data shown in a scatterplot

Answers

answer D because you can clearly see the pattern.

The line of best fit is the line that matches the closest to the points. It also is the one that goes pretty much through the middle of the points, if that makes any sense. So for this, I would say D.

A baseball is hit with an initial upward velocity of 70 feet per second from a height of 4 feet above the ground. The equation h= −16t^2 +70t + 4 models the height in feet t seconds after it is hit. After the ball gets to its maximum height, it comes down and is caught by another player at a height of 6 feet above the ground. About how long after it was hit does it get caught?

Answers

To solve you need to set the equation equal to 6 (the height at which the player caught the ball.

6 = -16t^2 + 70t + 4

Next put the equation in standard form by subtracting 6 from both sides

-16t^2 + 70t - 2 = 0

This equation can be simplified by dividing by 2

-8t^2 + 35t - 1 = 0

This equation cannot be factored, but we can use the quadratic formula to find a value for x. Using the equation above we can find the values for a=-8, b = 35 and c = -1.

using the quadratic formula we can solve for x

-b +/- sqrt(b^2 - 4ac)
-------------------------------
2a

The solutions are

0.03 and 4.35. as 0.03 seems an unrealistic time to hit and catch a baseball we would expect the time to be 4.35 seconds.

Final answer:

By setting the given height (6 feet) in the height equation and using the quadratic formula to solve for time 't', we get two solutions. Since the ball reaches 6 feet twice in its ascension and decension, the latter value of t = 3.79 seconds would be the time it is caught.

Explanation:

The question is regarding the time at which a baseball, hit with an initial upward velocity and caught at 6 feet above the ground, is caught. Firstly, input the given height of 6 feet into the height equation h= -16t^2 + 70t + 4 and solve for

. Based on the quadratic formula, we receive two solutions: t = 3.79 s and t = 0.54 s. Since the ball has two points at which it reaches the height of 6 feet during its trajectory - once while going up and once while coming down - the time when it is caught would be the larger value,

t = 3.79 s

. Therefore, approximately 3.79 seconds after being hit, the ball is caught.

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A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?

Answers

red = 11/20....this tells me that there are 11 red ones and 20 total sections
blue = 6/20...this tells me there is 6 blue ones and 20 total sections

so if the rest are green, and if there are 20 total spaces and 11 are red and 6 are blue....that leaves (20 - 11 - 6) = 3...so 3 are green.

so the probability of picking a green one is 3/20 <==

I just added the 11 and 6 and got 17 so 17 subtract 20 is 3 there are only 3 spaces left. simple ;)

A bank withdraw of 50 dollars

Answers

Since they are taking 50 dollars out, it would be -50.

Thanks,
Whiiz

They're taking 50 dollars away.

M(6, 6) is the midpoint of mc139-1.jpg. The coordinates of S are (8, 9). What are the coordinates of R?

Answers

The midpoint is just the average of the endpoint coordinates.

(6,6)=((8+x)/2, (9+y)/2)

(12,12)=((8+x), (9+y))

(4,3)=(x,y)

So the coordinates of R are (4,3)

A gully can fly at a speed of 22 miles per hour about how many feet per hour can the gull fly?

Answers

the gully can fly 116,160 feet in 22 miles. the gully can fly 5280 miles in one hour.

Janelle was trying to find the distance between (3,7) and (9,6) in the coordinate plane. She knew the formula was D=√(9 - 3)^2 + (6 - 7)^2. So she took the square root and got (9-3)+(6-7)=5. Did she get the correct answer? Explain.

Answers

hello :
incorrect answer because :
[tex] \sqrt{ a^{2} + b^{2} } \neq \sqrt{ a^{2} } + \sqrt{ b^{2}} \neq a+b[/tex]
but :
[tex] \sqrt{ (a+b)^{2} } = a+b[/tex]........a+b ≥ 0

If the radius of a sphere is doubled, then its volume is multiplied by _____. 2 4 8

Answers

8. Volumes is the cube of a distance, radius goes up by 2, volume by 8 (area by 4, perimeter by 2)

The area, a, of an ellipse can be determined using the formula a=TTxy where x and y are half the lengths of the largest and smallest diameters of the ellipse. Which is an equivalent equation solved for y

Answers

[tex]a=\pi xy[/tex]

To solve for y, divide both sides by [tex]\pi x[/tex]:

[tex]y=\frac{a}{\pi x}[/tex]

Answer:

Area of an ellipse(a), ,having x and y being the lengths of the largest and smallest diameters of the ellipse = π xy

The lengths of the largest and smallest diameters of the ellipse is called Major Axis and Minor axis of the ellipse.

[tex]\rightarrow a=\pi x y\\\\\rightarrow y=\frac{a}{\pi \times x}[/tex]

The process of using sample statistics to draw conclusions about population parameters is called

Answers

The process of using sample statistics to draw conclusions about population parameters is called Statistical Inference.
Statistical Inference are based on samples.Sometimes there are errors in this samples.Statistical inference can be contrasted with descriptive statistics.
It is also the process of using sample statistics to draw scientific truths from data.

Blue shaded 20 squares on his hundreds grid. Becca shaded 30 squares on her hundreds grid. Write two decimals greater than Luke decimal in less than Bekkas decimal

Answers

Attached is the answer to your question.

The ages of Edna,Ellie,and Elsa are consecutive integers. The sum of their ages is 120. What are their ages?

Answers

x+x-1+x+1 =120

3x=120

x=40

40-1=39

40+1 =41

39 +40 +41 = 120

ages are 39 40 & 41

Find the area of the helicoid (or spiral ramp) with vector equation r(u, v) = ucos(v) i + usin(v) j + v k, 0 ≤ u ≤ 1, 0 ≤ v ≤ 9π.

Answers

Let [tex]H[/tex] denote the helicoid parameterized by

[tex]\mathbb r(u,v)=u\cos v\,\mathbf i+u\sin v\,\mathbf j+v\,\mathbf k[/tex]

for [tex]0\le u\le1[/tex] and [tex]0\le v\le9\pi[/tex]. The surface area is given by the surface integral,

[tex]\displaystyle\iint_H\mathrm dS=\iint_H\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv[/tex]

We have

[tex]\mathbf r_u=\dfrac{\partial\mathbf r(u,v)}{\partial u}=\cos v\,\mathbf i+\sin v\,\mathbf j[/tex]
[tex]\mathbf r_v=\dfrac{\partial\mathbf r(u,v)}{\partial v}=-u\sin v\,\mathbf i+u\cos v\,\mathbf j+\mathbf k[/tex]
[tex]\implies\mathbf r_u\times\mathbf r_v=\sin v\,\mathbf i-\cos v\,\mathbf j+u\,\mathbf k[/tex]
[tex]\implies\|\mathbf r_u\times\mathbf r_v\|=\sqrt{1+u^2}[/tex]

So the area of [tex]H[/tex] is

[tex]\displaystyle\iint_H\mathrm dS=\int_{v=0}^{v=9\pi}\int_{u=0}^{u=1}\sqrt{1+u^2}\,\mathrm du\,\mathrm dv[/tex]
[tex]=\dfrac{9(\sqrt2+\sinh^{-1}(1))\pi}2[/tex]

The area f the helicoid ramp is:

∫∫A) | r(u) *r( v) | dudv

The solution is:

A = 10.35×π square units

r ( u , v ) = u×cosv i + u×sinv j +v k

To get

r (u ) = δ(r ( u , v ) ) / δu = [ cosv , sinv , 0 ]

r ( v ) = δ(r ( u , v ) ) / δv = [ -u×sinv , u×cosv , 1 ]

The vectorial product is:

i j k

r (u ) * r ( v ) cosv sinv 0

-u×sinv u×cosv 1

r (u ) * r ( v ) = i × ( sinv - 0 ) - j × ( cosv - 0 ) + k ( u×cos²v + u× sin²v )

r (u ) * r ( v ) = sinv i - cosv j + u k

Now

| r (u ) * r ( v ) | = √sin²v + cos²v + u² = √ 1 + u²

Then

A = ∫₀ (9π) dv ∫₀¹ √ 1 + u² du

∫₀¹ √ 1 + u² du = 1.15

A = 1.15 × v |( 0 , 9π )

A = 10.35×π square units

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A store stocked 150 cans of popcorn for a weekend sale.
That weekend, 72 of the cans sold. What percent of the
cans of popcorn stocked were sold that weekend?

Answers

Answer:

48%

Step-by-step explanation:

In order to find the percentage we need to divide the sold cans by total cans and multiply the result by 100.

Total cans = 150

Sold cans = 72

→ 72/150 = 0.48

→ 0.48 * 100 = 48

The percentage of the cans of popcorn stocked were sold that weekend is 48%

The given parameters are:

Total can of popcorn = 150

Sold can of popcorn = 72

The percentage of can sold is then calculated as:

[tex]\%Sold = \frac{72}{150} *100\%[/tex]

Multiply 72 and 100

[tex]\%Sold = \frac{7200}{150}\%[/tex]

Divide 7200 by 150

[tex]\%Sold = \%48[/tex]

Hence, the percentage of the cans of popcorn stocked were sold that weekend is 48%

Answers

10 is b because it stays the same, it is added to the independent variable.

X is the age of the baby in months, but every 4 months so you have to divide and times by two due to the fact that it has to be multiplied by 2. Which leads it to be...

Y= 2x/4+10

Final answer:

The equation of the line that describes the baby's weight is y = (1/2)x + 10.

Explanation:

To find the equation of the line that describes the baby's weight, we need to determine the slope and y-intercept of the line. The slope represents the rate at which the baby's weight increases, and the y-intercept represents the initial weight of the baby.

Since the baby gains 2 pounds every 4 months, the slope of the line is 2/4 = 1/2. This means that for every month that passes, the baby's weight increases by 1/2 pound.

To find the y-intercept, we can use the initial weight of the baby, which is 10 pounds. So the equation of the line is y = (1/2)x + 10.

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What is 345,876 in short word form?

Answers

three hundred forty -five thousand eight hundred seventy six

Three hundred forty-five thousand, eight hundred seventy-six.

Simple interest formula: P=Irt
Solve for t

Answers

the formula should be I=Prt but whatever

if you had I=Prt then divide both sides by Pr to get I/(Pr)=t

if you want to use P=Irt, divide both sides by Ir to get P/(Ir)=t

The value of t in the simple interest formula P = Irt is t = P / (Ir).

To solve the simple interest formula P = Irt for t, we need to isolate the variable t on one side of the equation.

The formula can be rearranged as follows:

P = Irt

First, divide both sides of the equation by I:

P/I = rt

Next, divide both sides of the equation by r:

(P/I) / r = t

Simplifying further:

t = P / (Ir)

Therefore, the value of t in the simple interest formula P = Irt is t = P / (Ir).

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20 PTS!!!Each month, Matthew gets a $25 allowance and earns $100 mowing lawns. He uses the expression 25x + 100y to keep track of his earnings.
Part A: Identify the variables and coefficients in the expression. (3 points)
Part B: How many terms are in the expression, what are they, and how do you know? (4 points)
Part C: Which term in the expression shows the total earned from mowing lawns? (3 points)

Answers

Part A
The variables would be x and y where as the coefficients would be 25 and 100

Part B
There are two terms in the expression, those being 25x and 100y. This is because s plus or minus sign separates terms, and in this case, we only have one plus sign.

Part C
The term that represents the total earnings from mowing lawns in 100y, because the prompt says that he earns $100 mowing lawns.

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What was the most significant consequence of the Russian Revolution of 1917? Many students in ms. janklow's class seem to have little intrinsic motivation for learning math, science, or social studies. their minds are more apt to be on peer relationships (who the "popular kids" are, who bullies whom on the playground, etc.) than on their studies. without knowing anything else about ms. janklow's students, your best guess would be that they are: Which type of aggression tends to be characteristic of two-year-olds? Write each whole number using words.a) 325 b) 9,542,006 The following table shows the data collected from 4 random samples of 50 students from a small middle school regarding the type of television shows they prefer to watch:Television Show Preferences SampleNewsMusicMoviesCartoonsTotal121263050231053250351372550461981750Based on the results in the table, which type of television show is preferred by the majority of students in the samples? News Music Movies Cartoons Which government entity is the part of our checks and balances system that decides whether a law is within the guidelines of the constitution? Legislature, supreme court, or president Which of the following equations has only one solution? x2 + 4x + 4 = 0x2 + x = 0x2 - 1 = 0 What does the presence of homologous structures in different organisms suggest? A.) similar movement B.) common ancestry C.) similar habitat D.) common distribution Vincent is giving cakes to some children at a carnival. He has 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. If Vincent selects a cake randomly without looking, what is the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child? (5 points)6 over 15 multiplied by 2 over 14 is equal to 12 over 2106 over 15 plus 2 over 14 is equal to 114 over 2106 over 15 multiplied by 2 over 15 is equal to 12 over 2256 over 15 plus 2 over 15 is equal to 8 over 15 A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the volume is V = l w h. 193.8 cubic inches (in3) 2325.6 cubic inches (in3) 1.35 cubic inches (in3) 16.15 cubic inches (in3) Write this number in word formNumber:284028 The early American authors of the Articles of Confederation wanted to preserve the states' sovereignty. In a labeled Word document, explain why would this have been advantageous. Elaborate in detail with at least three reasons. Why would this have been a disadvantage. Elaborate in detail with at least three reasons. You may have to do a little internet research to complete this assignment. Nervous tissue forms nerves that vary in length. The flexibility of nerve length allows communication to occur between regions of the body that are very close to each other, or very far away from each other. One example of a very long nerve is the sciatic nerve, which runs from the spinal cord to the toes and is approximately one meter long. Which of the following is supported by the passage?A. Only distant regions would communicate using nervous tissueB. Only nearby regions would communicate using nervous tissue C.Both distant and nearby regions would communicate using nervous tissueD. Neither distant nor nearby body regions would communicate using nervous tissue You are charged with securing a site to build a wind farm. As you survey different potential sites, you look for the one that:a. is densely populated.b. has hurricane force winds for one-fourth of the year.c. experiences wind consistently through the year.d. is closest to the equator for maximum sun exposure If p is a positive integer,then p(p+1)(p-1) is always divisible by? 1.The _______ step of the writing process entails coming up with ideas ? Which condition may result in a collapsed lung? How many different nine player batting orders can be chosen from a baseball team of 16? the people in a location in florida dug wells to reach the underground water source which of these is a correct conclusion about the locationA. It has several lakesB. It has excess run off C. It has excess precipitationD. It has a high rate of evaporation Nicole was planning a speech advocating the position that all students be required to take two years of a foreign language prior to graduation. she was fairly certain that most of the people in her class were against her position. she felt that the strongest argument she had for this audience was the value of this skill when seeking employment. she decided to present that argument as her first main point. what principle is nicole using? Steam Workshop Downloader