Mathematics High School

Find the sum of the three expressions and choose the correct answer.
-8a 3 b + 3a2 b 2 - 5
2 + 5a 2 b 2
3a 3 b + 7 - 9a 2 b 2
Choices:
A.) -5a3b - a2b2 + 2
B.) -5a3b + 8a2b2 + 4
C.) -5a3b - a2b2 + 4

Answers

Answer 1

-8a^3 b + 3a^2 b^2 - 5 + 2 + 5a^2 b^2 + 3a^3 b + 7 - 9a^2 b^2
= -5a^3 b - a^2 b^2 + 4

answer is

C.) -5a3b - a2b2 + 4

Answer 2

Answer:

Sum of -8a³b+3a²b²-5,2+5a²b² and 3a³b+7-9a²b² is:

-5a³b-a²b²+4

Step-by-step explanation:

We have to find the sum of:

-8a³b+3a²b²-5,2+5a²b² and 3a³b+7-9a²b²

-8a³b+3a²b²-5+2+5a²b²+3a³b+7-9a²b²

= -5a³b-a²b²+4

Hence, sum of -8a³b+3a²b²-5,2+5a²b² and 3a³b+7-9a²b² is:

-5a³b-a²b²+4

Related Questions

Where can the lines containing the altitudes of an obtuse triangle intersect.

Answers

The point, at which the lines containing the altitudes of a obtuse triangle intersect called orthocenter, is always outside the triangle.

Answer: The lines containing the altitudes of an obtuse triangle intersect at a point which lies outside the triangle called orthocenter.

Explanation:-

A line which passes through a vertex of the triangle and is perpendicular to the opposite side is called an altitude of the triangle.

The point where all three altitudes of the triangle intersect is called its orthocenter .

Orthocenter of acute triangle lies inside the triangle.Orthocenter of right triangle lies on the triangle.Orthocenter of obtuse triangle lies outside the triangle.

what is the reciprocal of 0.25

Answers

The Reciprocal Of 0.25 Is 4

the answer would be 4

simplify the expression r^-3s^5t^2/r^2st^-2

Answers

Pertinent rules:

(a^b)/(a^c)=a^(b-c) and a^(-b)=1/(a^b)

(r^-3s^5t^2)/(r^2st^-2)

r^(-3-2)s^(5-1)t^(2--2)

r^-5(s^4)t^4

(s^4t^4)/(r^5)

r^-3 * s^5 * t^2 / r^2 * s * t^-2
s^5 * t^2 * t^2 / r^3 * r^2 * s
s^4 * t^2 / r^5

Solve 4a+3=11 plz step by step

Answers

Hi,

Again, we want to work on isolating the variable a. Let's start doing this by first getting rid of the 3.

We must do the inverse of the operation, which in this case will be subtraction since the 3 is positive. Also, always remember that when we do something on one side of the equation, we must do it on the other.

4a + 3 - 3 = 11 - 3

4a = 8

Since the 4 is multiplying our variable a, this means the inverse of the operation will be division. To fully isolate a by getting rid of the 4, we will divide by 4 on both sides.

4a / 4 = 8 / 4

a = 2

Hopefully, this helps.

The value of solution of expression is, a = 2

We have to give that,

An expression to simplify,

4a + 3 = 11

Now, Simplify the expression by combining like terms as,

4a + 3 = 11

Subtract 3 on both sides,

4a + 3 - 3 = 11 - 3

4a = 8

Divide 4 into both sides,

a = 8/4

a = 2

Therefore, the solution is, a = 2

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Find the ratio of 12:7

Answers

There are a lot of ratios you can find for 12:7

12:7 can equal 24:14 (multiply both by 2) 36:21 (multiply both by 3) etc etc

hope this helps

We had to multiply by two find out the ratio to this problem... Here's what I meant⬇️
12 (2) = 24
7(2) = 14

So, your answer would mostly likely be; 24:14

Good luck on your assignment
And enjoy your day! :)

~MeIsKaitlyn :)

Solution of this equation

Answers

2.5y + 3x = 27
5x - 2.5y = 5

Align the variables to make solving this easier.

2.5y + 3x = 27
-2.5y + 5x = 5

You can see that the 2.5y and -2.5y cancel each other out. Then add the 3x and 5x, and 27 + 5.

3x = 27
5x = 5

8x = 32

Divide both sides by 8.

x = 4

Now input that x into one of the equations to get y.

2.5y + 3(4) = 27
2.5y + 12 = 27
2.5y = 15
y = 6

The answer to this system of equations is x = 4, y = 6. (4, 6)

What is the value of the 30th percentile for the data set 6283, 5700, 6381, 6274, 5700, 5896, 5972, 6075, 5993, 5581?

Answers

The 30th percentile for the given data set is 5758.8, calculated by arranging the data in ascending order and interpolating between the 3rd and 4th values.

To find the 30th percentile for the given data set, first arrange the data in ascending order and then calculate the rank of the 30th percentile. The formula to find the kth percentile for a data set with n observations is:

Rank = (k/100) * (n + 1)

For the given data set of 10 values, the 30th percentile rank would be:

Rank = (30/100) * (10 + 1) = 3.3

Since the rank is not a whole number, the 30th percentile lies between the 3rd and 4th values in the ordered set. After arranging the data:

5581

5700

5896

5972

5993

6075

6274

6283

6381

The 3rd and 4th values are 5700 and 5896. We must interpolate to find the exact 30th percentile:

30th Percentile = 5700 + 0.3 * (5896 - 5700) = 5700 + 0.3 * 196 = 5700 + 58.8 = 5758.8

The 30th percentile is 5758.8.

Samantha wants to use her savings of $1150 to buy shirts and watches for her family. the total price of the shirts she bought was $84. the watches cost $99 each. what is the maximum number of watches that samantha can buy with her savings? (1 point)

Answers

84 + 99w = 1150
99w = 1150 - 84
99w = 1066
w = 1066/99
w = 10.76......so she can buy 10 watches maximum

Answer:

Maximum number of watches Samantha can buy equals:

Step-by-step explanation:

Samantha wants to use her savings of $1150 to buy shirts and watches for her family.

The total price of the shirts she bought was $84.

The watches cost $99 each.

Let she bought x watches

then, 84+99x≤1150

subtracting by 84 on both sides, we get

99x≤1066

dividing both sides by 99, we get

x≤ 10.7676

Hence, maximum number of watches Samantha can buy equals:

Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1? 1, –0.25, –1.5, –2.75, –4, . . . 1, 2.25, 3.5, 4.75, 6, . . . 4, 2.75, 1.5, 0.25, –1, . . . 4, 5.25, 6.5, 7.75, 8, . . .

Answers

Answer:

[tex]4,2.75,1.5,0.25......[/tex]

Step-by-step explanation:

f (1) = 4, [tex]f (n + 1) = f (n) - 1.25[/tex]

To get the sequence we start with n=1

Plug in n=1 in the formula

[tex]f (n + 1) = f (n) - 1.25[/tex]

[tex]f (1 + 1) = f (1) - 1.25[/tex]

[tex]f (2) = f (1) - 1.25[/tex], replace f(1)=4

[tex]f (2) = 4 - 1.25=2.75[/tex]

n=2

[tex]f (2 + 1) = f (2) - 1.25[/tex]

[tex]f (3) = f (2) - 1.25[/tex], replace f(2)=2.75

[tex]f (3) = 2.75 - 1.25=1.5[/tex]

n=3

[tex]f (3 + 1) = f (3) - 1.25[/tex]

[tex]f (4) = f (3) - 1.25[/tex], replace f(3)=1.5

[tex]f (4) = 1.5 - 1.25=0.25[/tex]

Sequence is [tex]4,2.75,1.5,0.25......[/tex]

Answer:

4, 2.75, 1.5, 0.25, –1

Step-by-step explanation:

convert 0.0000001 to a power of 10.

107
10−7
106
10−6

Answers

0.0000001 in scientific notation is: 10^-6. Please mark brainliest and have an amazing day.

Answer:

Its actually 10 to the power of -7.

Step-by-step explanation:

This is because it can be written as:

1/10000000

Because there is 7 0's it becomes -7

Therefore its 10 to the power of -7

Krystal left the hardware store and traveled toward the recycling plant at an average speed of 61 mph. Scott left at the same time and traveled in the opposite direction with an average speed of 65 mph. Find the number of hours Scott needs to travel before they are 252 mi. Apart

Answers

Since Krystal and Scott is heading on opposite directions, therefore the distance between the two would be the sum of their distances from where they left, so:

total distance (d) = distance covered by Krystal (dK) + distance covered by Scott (dS)

d = dK + dS

We know that the formula for distance is:

distance = velocity * time

So,

d = vK * t + vS * t

where

vK = velocity of Krystal = 61 mph

vS = velocity of Scott = 65 mph

d = 252 miles

Therefore:

252 = 61 t + 65 t

126 t = 252

t = 2 hours

Therefore Scott needs to travel for 2 hours.

A club has 12 members. In how many ways can we select four members to go on a trip?

Answers

this is the number of combinations of 4 from 12

12C4 = 12!
----------
4! 8!

= 12*11*10*9 11*5*9 = 495
-------------- =
4*3*2*1

An and ac are opposite rays.all of the following are true except
A = A,B,C are collinear

B = A,B,C are coplanar

C = AB = AC

D = A is between B and C

Answers

All of the following are true except:

B = A, B, C are coplanar.

(I believe this should be the answer, but I'm not so sure.)

→It is given that, AB and AC are Opposite rays.

Means point ,A , B and C are collinear that is lying in the same line.

→Points are said to be Coplanar , if they lie in the same Plane.

Line segment Joining Points A, B and C lies on the same surface , so we can say that ,these points are Coplanar.

→As, AB and AC are rays , so point A will be in between C and B.

But, it can be sometimes true that,

→AB=AC

So, Incorrect Statement is:

AB=AC

If sin 42° =2/3, then cos 48°=

Answers

We know that: sin Ф = cos(π/2 - Ф) ↔ sin Ф = cos(90° - Ф)
Then:

sin 42° = cos(90° - 42°) = cos 48°

IF sin 42° = 2/3, the cos 48° = 2/3

sinα=cos(90-α) is a basic identity.

if sin42=2/3 then cos(90-42)=2/3 as well (90-42=48)

The linear function y = 1.2x represents Alberto’s speed, y, in meters per minute, when his stride rate is x steps per minute. Alberto’s average stride rate during a 10-kilometer race is 180 steps per minute.

What is Alberto’s average speed during the race?

Answers

y = 1.2x
y = meters per minute
x = steps per minute = 180
y = 1.2 (180)
y = 216 meters per minute

Answer:

What is Alberto’s average speed during the race?

216 meters per minute

Based on the linear model, which is the best prediction of how long it will take Alberto to finish the 10-kilometer race?

B. 46 minutes

A gift box has a length of 14 inches, a height of 8 inches, and a width of 6 inches. how many square inches of wrapping paper are needed to wrap the box?

Answers

The surface area of the rectangular box is equal to 488 square inches.

What is surface area?

The area of the surface of the rectangular box is equal to the total surface area of the rectangular box.

Given that, a gift box has a length of 14 inches, a height of 8 inches, and a width of 6 inches.

The surface area will be calculated as,

SA = 2(6 x 14) + 2(6 x 8) + 2(14 x 8)

SA = 2(84) + 2(48) + 2(112)

SA = 168 + 96 + 224

SA = 488 square inches of paper to wrap the box.

Therefore, the surface area of the rectangular box is equal to 488 square inches.

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Final answer:

To find the square inches of wrapping paper needed for a gift box, calculate the surface area of the box by using its length, height, and width dimensions.

Explanation:

To calculate the square inches of wrapping paper needed to wrap the box, you need to find the surface area of the box.

Calculate the surface area of each side of the box: 2(length x width) + 2(width x height) + 2(length x height).

Plug in the given dimensions: 2(14 x 6) + 2(6 x 8) + 2(14 x 8).

Calculate the total: 2(84) + 2(48) + 2(112) = 168 + 96 + 224 = 488 square inches needed.

Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equation of this cubic polynomial function. Recall that the zeros are (2, 0), (3, 0), and (5, 0). What is the y-intercept of this graph?

Answers

In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
[tex]f(x) = a(x - x_1)(x-x_2)(x-x_3)[/tex]

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form [tex](x_n , 0)[/tex]

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say [tex]x_1 = 2 , x_2 = 3 , x_3 = 5[/tex]

So required equation is
[tex]f(x) = a (x-2)(x-3)(x-5)[/tex]
              [tex]= a[(x^2 - 2x - 3x + 6)(x-5)][/tex]
              [tex]= a[(x^2 - 5x+6)(x-5)][/tex]
              [tex]= a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)[/tex]
              [tex]= a(x^3 - 10x^2+31x-30)[/tex]
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
[tex]-5= a (0-0+0 - 30)[/tex]
[tex]-5 = -30a[/tex]
[tex]a = \frac{-5}{-30} = \frac{1}{6} [/tex]
So required equation of cubic polynomial is
[tex]f(x) = \frac{1}{6}(x^3 -10x^2+31x-30) [/tex]

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.

The equation of the function is [tex]y = \frac 16(x -2)(x -3)(x -5)[/tex], and the y-intercept of the function is -5

A cubic function is represented as:

[tex]y = a(x -x_1)(x -x_2)(x -x_3)[/tex]

The zeros are (2, 0), (3, 0), and (5, 0).

This means that:

(x1, y) = (2, 0)

(x2, y) = (3, 0)

(x3,y) = (5, 0)

So, we have:

[tex]y = a(x -2)(x -3)(x -5)[/tex]

The graph passes through the point (0,-5).

So, we have:

[tex]-5 = a(0 -2)(0 -3)(0 -5)[/tex]

Evaluate the products

[tex]-5 = -30a[/tex]

Solve for a

[tex]a = \frac{5}{30}[/tex]

[tex]a = \frac{1}{6}[/tex]

Substitute 1/6 for a in [tex]y = a(x -2)(x -3)(x -5)[/tex]

[tex]y = \frac 16(x -2)(x -3)(x -5)[/tex]

The y-intercept of the function is when x = 0.

Hence, the y-intercept of the function is -5

Answers

a^2 + b^2 = c^2
5^2 + 7^2 = c^2
25 + 49 = c^2
74 = c^2
sqrt 74 = c
8.6 = c

so grant's to Isabelle's is 8.6 blocks, then from there to hannah's house, which is 7 blocks....so he walks a total of 8.6 + 7 = 15.6 blocks

The total distance covered in the graph from Grant to Isobel's house and Isobel's house to Hannah's house is 15.06.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given coordinate has been drawn in the graph below,

The locus of the path from Grant's house to Isobel's house and then Hannah's house is making a right-angle triangle.

By Pythagoras' theorem,

Distance from Grant's house to Isobel's house ⇒

√(4² + 7²) = 8.06

The distance from Isobel's house to Hannah's house ⇒ 3 + | -4| = 7

Therefore, 8.06 + 7 = 15.06.

Hence "The total distance covered in the graph from Grant to Isobel's house and Isobel's house to Hannah's house is 15.06".

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The product of twice a number and three three is the same as the difference of five five times the number and three fourths 3 4. find the number.

Answers

Let the number be x.

Given,

[tex]2x*3 = 5x - \frac{3}{4} [/tex]

[tex]6x = 5x - \frac{3}{4} [/tex]

[tex]x = - \frac{3}{4} [/tex]

One pound of feathers would be easier weighing than one pound of iron

Answers

They weigh the same --- One pound.

One pound of feathers = One pound of iron

it would be harder, since feathers are lighter than iron, you would need a lot more of them , which could make it harder to weigh them.

Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. How will the left side of the equation factor in step 5?

A. (2x + 32)2

B. (4x + 8)2

C. (4x + 16)2

Answers

2x^2+8x-12=0
with form
ax^2+bx+c=0

move c to the other side
2x^2+8x=12

x^2 is multiplied -> divide equation by 2
x^2+4x=6

complete square:
divide b=4 by 2
4*1/2=2

square 2
2^2=4

add 4 to both sides
x^2+4x=6
x^2+4x+4=6+4
x^2+4x+4=10

transform to polynom
(x+2)^2=10

this left side is option B multiplied by a factor of 16 and therefore equal:
(4x + 8)^2
(4*4)x^2+(4*2*8)x+8*8
16x^2+64x+64
x^2+4+4

bonus: calculate root
x+2=+/-sqrt(10)
x=-2+/-sqrt(10)

so it is option B

Complete the square to solve [tex]2x^2 + 8x - 12 = 0[/tex].

Soooooooo, [tex](4x + 8)^2[/tex] is your answer. :)

Which of the following statements is true regarding the relationship between circles and triangles? A. There are many circles that can be circumscribed about a triangle. B. There are many triangles that can be inscribed in a given circle. C. There is only one unique triangle that can be inscribed in a given circle. D. There are many triangles that can be circumscribed about a given circle.

Answers

Its worth trying drawing circles and triangles to find the correct one.

If you do you'll find that the answer is B.

The true statement regarding the relationship between circles and triangles is option B. There are many triangles that can be inscribed in a given circle.

A circle can be characterized by its center's location and its radius's length.

How to make an inscribed circle in a triangle?

There can be many different ways, one can include arc way, one can include angle bisector and perpendicular, and we can even try to discover some.

But usually, (for the angle bisector and perpendiculars), we do the following:

Divide one of the angles in half. Divide another angle in half.

The incenter, or point where they cross, is the inscribed circle's centre.

Construct a perpendicular from the triangle's centre point to one of its sides.

Draw an inscribed circle by placing the compass on the centre point and adjusting the length to where the perpendicular crosses the triangle.

The true statement regarding the relationship between circles and triangles is option B. There are many triangles that can be inscribed in a given circle.

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Find the next term in the sequence:
1/3,2/9,3/27,...

A. 4/36
B. 4/54
C. 4/81
D. 4/109

Answers

First, you would have to look for a pattern. As you can see, the numerators are increasing by one. In the denominator, the numbers are being multiplied by three.

Now, let's apply this rule to the last fraction. The denominator multiplied by three would be 81.

Therefore, the answer is C. 4/81

What is the center and radius of the circle with equation x2 + y2 + 6x + 16y + 64 = 0?

Answers

Hello,

By making factors:
[tex]x^2+y^+2+6x+16y+64=0\\ x^2+6x+9+y^2+16y+64-9=0\\ (x+3)^2+(y+8)^2=9\\ radius=3 [/tex]

The ordered pairs below represent a relation between x and y. (-3,-3), (-2,0), (-1,3), (0,6), (1,9), (2,12).
Could this set of ordered pairs have been generated by a liner function?
A. No, because the y-values decrease then increase
B. Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x,y) values you use to calculate it
C. No, because the distance between consecutive y-values is different than the distance between consecutive x-values
D. Yes, because the distance between x-values is inconstant

Answers

Notice that the first coordinates, -3, -2, -1, 0, 1, 2
are matched respectively to -3, 0, 3, 6, 9, 12.

Thus, as the x-coordinate changes by 1, the y-coordinate changes by 3:

We can represent this change by the following picture:

|
|
(2,12) _ |
       |
   |
(1,9) _ |
   |
   |
(0,6) _ |


So, the points are on a straight line, because:

B. Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x,y) values you use to calculate it

Choose the correct description of the graph of the compound inequality x - 3 less than or equal to 5

A- open circle on 8, shading to left
B- closed circle on 8, shading to left
C- open circle on 8, shading to right
D- closer circle on 8, shading to right

Answers

x - 3 < = 5
x < = 5 + 3
x < = 8

closed circle on 8 (it is closed because there is an equal sign in the problem)...and since it is less then, it will be shaded to the left.

Answer:

B- closed circle on 8, shading to left.

Step-by-step explanation:

We have been given an inequality [tex]x-3\leq 5[/tex]. We are asked to choose the correct description of the graph of the compound inequality.

Let us solve for x.

[tex]x-3+3\leq 5+3[/tex]

[tex]x\leq 8[/tex]

Since we have been given a less than or equal to sign, so we will have a solid dot at [tex]x=8[/tex].

Since the solutions for our given inequality are less than and equal to 8, so we will shade in all values of x that are to the left of 8.

Therefore, option B is the correct choice.

Janelle is at the movie theater and has $20 to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?

Inequality: 20≥8 + 4.99x

Please answer, its urgent

Answers

Final answer:

After purchasing a movie ticket for $8, Janelle has $12 left to spend on snacks. Each snack costs $4.99, which means she can buy a maximum of 2 snacks.

Explanation:

Janelle started with $20 and has already spent $8 on a ticket, leaving her with $20 - $8 = $12 for snacks. Each snack costs $4.99. To determine how many snacks, represented by x, Janelle can buy, we can set up the inequality 12 ≥ 4.99x. Dividing both sides of the inequality by the cost of one snack (4.99) gives us x ≤ ≈ 2.4. Since Janelle cannot buy a fraction of a snack, she can buy a maximum of 2 snacks with her remaining $12.

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Find the domain of f of x equals negative square root of the quantity two x plus four, plus 3?

Answers

You always find the domain of these by setting what's under the radical sign equal to 0 and solving for x. In this case, 2x+4=0. 2x= -4 and x = -2. If you graph it, you will see that it is true. The negative sign out front means that the graph is "upside down" from its positive parent graph, and the "+3" means that it is moved up from the origin, but the domain is found by setting the radicand equal to 0 and solving for x. Domain: [-2, infinity)

The sum of 2 consecutive odd interferes is 92 find the numbers

Answers

92/2 = 46

46-1 =45

46+1 =47

45+47 = 92

numbers are 45 & 47

Find the length of the missing side. The triangle is not drawn to scale.

A. 60
B. 34
C. 169
D. 13

Answers

Let "a" be the missing side.

By the Pythagorean theorem:

a² = 12² + 5² = 144 + 25 = 169
a = √169 = 13 units

Other Questions

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Find the sum of the three expressions and choose the correct answer. -8a 3 b + 3a2 b 2 - 5 2 + 5a 2 b 2 3a 3 b + 7 - 9a 2 b 2 Choices: A.) -5a3b - a2b2 + 2 B.) -5a3b + 8a2b2 + 4 C.) -5a3b - a2b2 + 4

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Find the sum of the three expressions and choose the correct answer.
-8a 3 b + 3a2 b 2 - 5
2 + 5a 2 b 2
3a 3 b + 7 - 9a 2 b 2
Choices:
A.) -5a3b - a2b2 + 2
B.) -5a3b + 8a2b2 + 4
C.) -5a3b - a2b2 + 4