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3 years ago

How do you find the slope and the y intercept for y= 12-2/3x

Mathematics

1 answer:

IRINA_888 [86]3 years ago

4 0

Answer:

the slope is -2/3

and the y intercept is 12

Step-by-step explanation:

slope intercept form

y= mx+b where m is the slope and b is the y intercept

y = 12 -2/3x

y = -2/3x + 12

the slope is -2/3

and the y intercept is 12

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3 years ago

the volume of the a sphere whoes diameter is 18 cm is cubic cm . if it's diameter were reduced by half, it's volume would be of

FrozenT [24]

Answer:

The new volume is 8 times smaller than the original volume

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x ----> the volume of the reduced sphere

y ----> the volume of the original sphere

$z^{3}=\frac{x}{y}$

we have

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substitute

$(1/2)^{3}=\frac{x}{y}$

$(1/8)=\frac{x}{y}$

$x=\frac{y}{8}$

therefore

The new volume is 8 times smaller than the original volume

Verify

The volume of the original sphere is

$r=18/2=9\ cm$ ---> the radius is half the diameter

$V=\frac{4}{3}\pi (9)^{3}=972\pi \ cm^{3}$

the volume of the reduced sphere is

$r=9/2=4.5\ cm$ ---> the radius is half the diameter

$V=\frac{4}{3}\pi (4.5)^{3}=121.5\pi \ cm^{3}$

Divide the volumes

$972\pi \ cm^{3}/121.5\pi \ cm^{3}=8$

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2 years ago

What is the range of this function?<br> y =x + 1 - 8

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Answer:

range: {y | y>= -8)

Step-by-step explanation:

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y = root( x + 1) - 8

y is defined as long as x+1 >= 0

so domain must be x > -1

y values would start from -8

and go upward.

range: {y | y>= -8)

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2 years ago

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The correct answer is C, outcomes

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