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2 years ago

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In the figures below, the cube-shaped box is 6 inches wide and the rectangular box is 10 inches long, 4 inches wide, and 4 inche

s high. How much greater is the volume of the cube-shaped box than the rectangular box? A. 66 cubic inches B. 60 cubic inches C. 56 cubic inches D. 50 cubic inches

1 answer:

Andrews [41]2 years ago

3 0

The answer to this question is B

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used

gladu [14]

Answer:

Part 1) $2x^{2}-32=0----> (-4,4)$

Part 2) $4x^{2}-100=0----> (-5,5)$

Part 3) $x^{2}-55=9----> (-8,8)$

Part 4) $x^{2}-140=-19----> (-11,11)$

Part 5) $2x^{2}-18=0----> (-3,3)$

see the attached figure

Step-by-step explanation:

Solve each quadratic equation

Part 1) we have

$2x^{2}-32=0$

Adds 32 both sides

$2x^{2}=32$

Divide by 2 both sides

$x^{2}=16$

take square root both sides

$x=\pm4$

therefore

The solutions are (-4,4)

Part 2) we have

$4x^{2}-100=0$

Adds 100 both sides

$4x^{2}=100$

Divide by 4 both sides

$x^{2}=25$

take square root both sides

$x=\pm5$

therefore

The solutions are (-5,5)

Part 3) we have

$x^{2}-55=9$

Adds 55 both sides

$x^{2}=9+55$

$x^{2}=64$

take square root both sides

$x=\pm8$

therefore

The solutions are (-8,8)

Part 4) we have

$x^{2}-140=-19$

Adds 140 both sides

$x^{2}=-19+140$

$x^{2}=121$

take square root both sides

$x=\pm11$

therefore

The solutions are (-11,11)

Part 5) we have

$2x^{2}-18=0$

Adds 18 both sides

$2x^{2}=18$

Divide by 2 both sides

$x^{2}=9$

take square root both sides

$x=\pm3$

therefore

The solutions are (-3,3)

7 0

3 years ago

F(x)= x+28/x-7 for inverse functions

ioda

The inverse function of the given function is $\mathbf{= \dfrac{28+7x}{x-1}}$

<h3>What is the inverse of a function?</h3>

A function g is the inverse of a function f, if and only if the values of y= f(x), x = g(y).

From the formula given:

$\mathbf{y=f(x) = \dfrac{x+28}{x-7}}$

Let's substitute x with y;

$\mathbf{y= \dfrac{x+28}{x-7}}$

$\mathbf{x=\dfrac{y+28}{y-7}}$

Solve for y;

$\mathbf{= \dfrac{28+7x}{x-1}}$

Learn more about solving inverse functions here:

brainly.com/question/3831584

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1 year ago

Devon studied the composite figure.

Nat2105 [25]

If we look at his calculations
2((9)(20) is the front an back rectangle
2((9)(34)) is the side rectangles
(34)(20) is the bottom
2(1/2(20(24)) is te front and top triangles
and the last one assumes that they are triangles which is incorrect

answer is D

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2 years ago

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Y - 3 = 4(x + 12) slope and y intercept

Gala2k [10]

The y-intercept will be (0,51)

In case, if you want the x-intercept it will be (-51/4,0)

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3 years ago

Is 170 going to be even or odd

kicyunya [14]

No, the number 170 is not an odd number - it is an even number.

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2 years ago

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