Analyze the key features of the graphs of the functions below. Select all of the quadratic functions that open down, have a vertex that is a maximum and a positive y-intercept.
f(x) = 2x2 - 4x - 3
g(x) = - x2 + x + 1
h(x) = -2x2 + 3x - 1
m(x) = x2 -9
n(x) = -3x2 + 7

Answer:

2, -2 and 1/2

Step-by-step explanation:

As the the first coefficient is 2 and the last number is 4  1/2, 2, -2 seem likely zeros ( By the rational roots theorem).

f(2) =  2*8 - 4 -16 + 4 = 0 so 2 is a zero.

f(-2) = -16 - 4 +16 + 4 = 0  so -2 is a zero

f(1/2) = 2*1/8 - 1/4 - 4 + 4 = 0 so 1/2 is the other zero.

Since the highest degree is 3  the maximum number of zeroes is 3.

Answer:

Try math

way if you need help on apex

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

If ABCD is a parallelogram, then AB = CD

AB=CD

6x-10 = 3x+5

Subtract 3x from each side

6x-3x -10 = 3x-3x+5

3x-10 = 5

Add 10 to each side

3x-10+10 = 5+10

3x = 15

Divide by 3 on each side

3x/3 =15/3

x=5

Answer:

6

i just did the test rn

Step-by-step explanation:

Answer:

$16

Step-by-step explanation:

x*0.7=11.20

11.20/0.7=16

Answer:

F.MBFFBLKFDKGBKK FGLK doingTDKDT

Step-by-step explanation:

Answer:

The answer is 63 trucks.

Step-by-step explanation:

If we need 45 trucks with 3.5 ton each to do the job; then we have a 157.5 ton payload. So if we divide the 157.5 ton into 2.5 ton trucks we get a total of 63 trucks.

3.5 x 45 = 157.5

2.5 x 63 = 157.5

The number of trucks required with 2.5 payloads will be 32.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 45 trucks, each with a 3.5-ton payload, are needed to unload a freight train.

The number of trucks for 2.5 tons of payloads will be calculated as,

3.5 Tons of payload = 45 Trucks

2.5 Ton = ( 45 x 2.5 ) / 3.5

2.5 Ton = 32 Trucks

Therefore, the number of trucks required with 2.5 payloads will be 32.

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Answer:

The answer would be 24

Step-by-step explanation:

7 pies= 1/4 so 7 times four (to equal whole) = 24

Hello.

The Answer: A. 300 ft^2

Step-by-step explanation: Find the area of two sides (Length*Height)*2 sides.

Find the area of adjacent sides (Width*Height)*2 sides.

Find the area of ends (Length*Width)*2 ends.

Add the three areas together to find the surface area.

Formula: A= 2( W l + H L + H W)

Have a nice day.

Answer:

A   300 ft2

Hope this help's!

Answer:

864 calories came from fat. What I did was just subtract 2400 from 36% and got it.

Step-by-step explanation:

The calories that come out from fat will be 864 calories.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

A person ate 2400 calories in a day. Of these, 36% came from fat.

36% of 2400 = (36/100)2400

⇒ 864 calories.

Hence "The calories that come out from fat will be 864 calories".

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Answer: y = 0

Step-by-step explanation:

[tex]\frac{x^{0}}{x^{2}}[/tex]

exponent of denominator > exponent of numerator so, y = 0

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Answer: [tex]y=\frac{x^{2}+8}{3}[/tex]

Step-by-step explanation:

y = [tex]\sqrt{3x-8}[/tex]

To find the inverse, swap the x's and y's and solve for "y":

x = [tex]\sqrt{3y-8}[/tex]

x² = 3y - 8

x² + 8 = 3y

[tex]\frac{x^{2}+8}{3}=y[/tex]

*****************************************************************************

Answer: -6x - 3h

Step-by-step explanation:

f(x + h) = 7 - 3(x + h)²

          = 7 - 3(x² + 2xh + h²)

         = 7 - 3x² - 6xh - 3h²

-f(x) = -(7 - 3x²)

     = -7 + 3x²

f(x + h) - f(x) = 7 - 3x² - 6xh - 3h² -7 + 3x²

                   = -6xh - 3h²

                   = h(-6x - 3h)

[tex]\frac{f(x+h)-f(x)}{h}=\frac{h(-6x-3h)}{h}[/tex]

                    = -6x - 3h

To find the original quantity when given the percent it was reduced and the amount left, divide the amount left by the percentage that is left:

The bottle was reduced by 85%, which means there is 15% left left in the bottle ( 100% - 85% = 15%)

Now divide the amount left by the percentage left:

20 / 0.15 = 133.33

The original amount was 133.33 milliliters ( Round answer as needed)

Answer:

4

Step-by-step explanation:

x = - 3

y - 4 = - 2.(x + 3)

y - 4 = - 2.(- 3 + 3)

y - 4 = - 2.0

y - 4 = 0

y = 4

I hope I helped you.

(-3, ?)

To find the missing value, which is "y", since you know x = -3, you can plug it into the equation to find "y"

y - 4 = -2(x + 3)

y - 4 = -2(-3 + 3)

y - 4 = -2(0)

y - 4 = 0  Add 4 on both sides

y = 4

Answer:

(a) what is the sample space for this chance process?

If we toss a coin three times then there are total [tex]2^{3}=8[/tex] outcomes

The sample space associated with the given chance process is:

[tex]S= \left \{ HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\right \}[/tex]

(b) what is the assignment of probabilities to outcomes in this sample space?

Since the given sample space has eight outcomes and we know that a fair coin is tosses three times. Therefore, the probability of all the events mentioned in the given sample space is same. Hence we have:

[tex]Probability = \frac{1}{8}[/tex]

When tossing a fair coin three times, the sample space includes all combinations of heads (H) and tails (T). With a fair coin, the probability of each possible outcome (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT) is equal, at 0.125.

When we're discussing the tossing of a fair coin three times, we're delving into the area of probability. (a) The sample space in this scenario is all the possible outcomes we could have. Those outcomes are: TTT, TTH, THT, THH, HTT, HTH, HHT, and HHH (Remember: H represents a head and T represents a tail).

(b) When we talk about the assignment of probabilities, we mean the likelihood of each potential outcome occurring. With a fair coin, it's equally likely to land on heads or tails - a 0.5 chance for each. Therefore, each of the eight possible outcomes has a 1/8 or 0.125 probability of occurring, granted that all outcomes are equally likely. So, for for instance, the probability of getting one head and two tails (HHT, HTH, THH) is 3/8 or 0.375, and similarly for all other cases.

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Answer:

y intercept

Step-by-step explanation:

At first I didn't think there was enough information, but there is. In general terms, for any polynomial which is also a function, making x = 0 gives the point where (0,b) = the y intercept.

For example

using f(x) = x^2 + 4x + 6 when x = 0 the result left is f(0) = 6 so the y intercept is (0,6)

If you have x^2 + 6x the y intercept is (0,0)

Answer:

(8, 85) Would make this relationship not a function because every time you count up 1 it goes up 10 and 8 would match to 80 not 85 making 8, 85 the ordered pair would not be on the graph.

Given Sue's speed of 10 miles per hour, we're looking for an ordered pair that does not fit the relationship y = 10x. While (2,20), (5,50), and (6,60) all fit this relationship, the pair (8,85) does not, hence it won't be on the graph.

Sue's speed on her bike is 10 miles per hour. This relationship can be graphed as a straight line in a coordinate plane because the speed remains constant - the distance covered increases uniformly over time. So, for each hour (x), she covers a distance of 10x miles (y). Therefore, we can identify the ordered pair that does not belong on the graph by determining which one does not fit the relationship y = 10x.

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Answer:

Its option B -4

Step-by-step explanation:

Answer:

b) -4

Step-by-step explanation:

The roots are (1-sqrt5)  and (1+sqrt(5)

FOIL

first:1*1 =1

outer: 1 * sqrt(5) = sqrt(5)

inner -1*sqrt(5) = -sqrt(5)

last sqrt(5) * - sqrt(5) = -5

Add them together: 1+sqrt(5) - sqrt(5) -5  = -4

Answer:

area of base =  [tex]\pi r^2[/tex]

where 'r' is the radius

Step-by-step explanation:

Volume of the cylinder formula = [tex]\pi r^2h[/tex]

volume of cylinder = area of base * height

The base of a cylinder is a circle. so we use the area of circle for the base of cylinder while finding volume

We know area of the circle is [tex]\pi r^2[/tex]

So area of the base of cylinder is  [tex]\pi r^2[/tex]

To find volume of the cylinder , we multiply the base of the cylinder with height

To determine the base of the cylinder we need radius of the cylinder

area of base =  [tex]\pi r^2[/tex]

where 'r' is the radius

Answer: c

Step-by-step explanation: teehee

Answer:

-20,-15,-13,-10,3,15,16

Step-by-step explanation:

negative to positive

Question

Kelly saved $150. That is 50% of the money she earned this summer. How much did Kelly earn this summer?

Answer:

Step-by-step explanation:

50% = 1/2 = 0.5

150 is the 50% of the money she earned this summer.

Solution

150 * 2 = 300$

Answer:

$300

Step-by-step explanation:

If 150 is 50% you multiply 150 by 2 to get 300 and that would make it 100% of what she got that summer.

i dont really unserstand what this is?

Answer:

t= u+v+w

Step-by-step explanation:

i did the test and got it right

Two possible rectangular gardens with different side lengths and an area of 48 square yards are:

Square garden: 6 yards by 6 yards

Long and narrow garden: 8 yards by 6 yards

Given:

Total area of the garden = 48 square yards

Objective:

Find possible combinations of side lengths for rectangular gardens with the same area.

Step 1: Square Garden

Let the side length of the square garden be x.

Area of the square garden = x^2

Set the area equation: x^2 = 48

Solve for x:

Take the square root of both sides: x = √48

Approximate the value: x ≈ 6.928 yards

Therefore, a square garden with sides of approximately 6.93 yards will have an area of 48 square yards.

Step 2: Long and Narrow Garden

We know the total area is 48 square yards.

Try different values for the width (w) and calculate the corresponding length (l) using the area formula: l * w = 48

For example, if w = 6 yards:

Calculate the length: l = 48 / w = 48 / 6 = 8 yards

Verify that the area matches: l * w = 8 * 6 = 48 square yards

Therefore, a long and narrow garden with a length of 8 yards and a width of 6 yards will also have an area of 48 square yards.

Answer:

Option B is correct.

[tex]r = \frac{S}{2\pi h}[/tex]

Step-by-step explanation:

It is given that :

The formula for the lateral surface area of a cylinder is [tex]S = 2\pi rh[/tex]

where

S represents the lateral surface area of cylinder,

r represents the radius of the bases and

h represents the height of the cylinder.

Solve for r;

Given: [tex]S = 2\pi rh[/tex]

Divide both sides by [tex]2 \pi h[/tex],

[tex]\frac{S}{2\pi h} =\frac{2\pi rh}{2\pi h}[/tex]

Simplify:

[tex]r = \frac{S}{2\pi h}[/tex]

Therefore, the radius of the bases of the cylinder is, [tex]r = \frac{S}{2\pi h}[/tex]

Final answer:

The radius of the base of a cylinder, denoted as 'r', can be solved from the lateral surface area formula 'S=2πrh' by rearranging the formula to 'r = S / (2πh)'.

Explanation:

The question requires solving for r (the radius of the bases) from the formula for the lateral surface area of a cylinder, which is S=2πrh. To solve for r, we start by isolating r on one side of the equation. Here's how we can do it step by step:

This equation shows that the radius can be found by dividing the lateral surface area by twice the product of π and the height of the cylinder.

Answer:

11700

Step-by-step explanation:

The triangles are similar (presumably) because their ratios are the same for all three corresponding sides.

Equation

Givens

Solution

Answer:

11700

Step-by-step explanation:

Answer:

option A

Step-by-step explanation:

The following ordered pairs are solutions to a linear equation: (-20, 11.5), (-21, 12), and (-22, 12.5).

Frame the equation of line y=mx+b using ordered pairs

(-20, 11.5), (-21, 12)

[tex]slope m = \frac{y_2-y_1}{x_2-x_1} =\frac{12-11.5}{-21+20}=-0.5[/tex]

m= -0.5

Now plug in (-21,12)  and find out b

y=mx+b

12= -0.5(-21) + b

12= 10.5 +b

Subtract 10.5 on both sides

So b= 1.5

Equation of line is y=-0.5x + 1.5

Slope is negative so graph will be decreasing

Option A  and option C graphs are decreasing

y intercept is the b values = 1.5

y intercept is (0,1.5)

Lets find x intercept

Plug in 0 for y in the equation y=-0.5x+1.5

0 = -0.5x+1.5

subtract 1.5 on both sides

1.5 = -0.5x

Divide by -0.5

so x= 3

So x intercept is (3,0)

Option A graph has x intercept (3,0)  and y intercept (0,1.5)

Answer:

Step-by-step explanation:

Alright, lets get started.

Suppose car was driven x miles in its 4 days trip.

Cost of a car rental is thirty dollar per day.

So, for 4 days, the car rental will be = [tex]30*4=120[/tex] $

For 1 mile, it adds fifteen cents,

So, for x miles, the cost will be = [tex]0.15 x[/tex] $

As per question, total rent is 180 $

Total rent will be = [tex]120 + 0.15 x = 180[/tex]

Subtracting 120 in both sides

[tex]0.15 x = 180-120=60[/tex]

[tex]x=\frac{60}{0.15}[/tex]

[tex]x=400[/tex]

It means car was driven 400 miles.   :   Answer

Hope it will help :)

Answer:

A: 4.07 ounces

Step-by-step explanation:

17.0 - 12.93 = 4.07

Answer:

The weight of the mystery substance added by Tim is 4.07 ounces. Hence option A is correct.

Solution:

Given, Tim is measuring the weight (in ounces) of a substance for a science experiment.  

Tim added a mystery substance (m) to his experiment.  

Tim used the equation 12.93 + m = 17.0 to find out how much he added.

We have to find how much of the mystery substance (m) did Tim add to his experiment?  

Now, from the given equation, 12.93 + m = 17.0 → m = 17.0 – 12.93 → m = 4.07

Hence, the weight of the mystery substance is 4.07 ounces, i.e. option A is correct.