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2 years ago

Y is equal to the additive inverse of 4x. Use this information to find the value of the expression 17x + 3y in terms of x.

Mathematics

1 answer:

nevsk [136]2 years ago

5 0

Answer:

Step-by-step explanation:

The additive inverse of a function is that value added that will sum it up to zero

If y is the additive inverse of 4x, then y = -4x

Given the expression 17x+3y

Substitute y = -4x into the expression to have;

17x + 3(-4x)

17x -12x

Hence the value of the expression in terms of x is 5x

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Please help im so confused at math pls help

exis [7]

Answer:

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2 years ago

The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal

Fynjy0 [20]

Answer:

The volume of a single tennis ball is $14.14\ in^{3}$

The volume of three tennis balls is $42.42\ in^{3}$

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

where r is the radius of the sphere

In this problem

$r=3/2=1.5\ in$

substitute

$V=\frac{4}{3}\pi (1.5)^{3}$

$V=14.14\ in^{3}$

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

$V=\pi r^{2} h$

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

$r=3/2=1.5\ in$

$h=8.4\ in$

substitute

$V=\pi (1.5)^{2}(8.4)$

$V=59.38\ in^{3}$

Statement

case A) The volume of a single tennis ball is $14.14\ in^{3}$

The statement is true

See the procedure in Step 1

case B) The volume of the can is $56.55\ in^{3}$

The statement is false

The volume of the can is $59.38\ in^{3}$ --> see the procedure Step 2

case C) The empty space inside the can is $14.13\ in^{3}$

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

$59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}$

case D) The volume of three tennis balls is $42.42\ in^{3}$

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

$14.14*3=42.42\ in^{3}$

8 0

3 years ago

Find the number that makes the ratio equivalent to 2:8.

jekas [21]

Answer:

Step-by-step explanation:

3 0

2 years ago

Solve: i)x+y=5 ii)x-y=3 iii)2x+y=7 iv)3x-2y=0

Ulleksa [173]

Answer:

I) X+Y

when X=0

0+y=5

Y=5

When Y=0

X+0=5

X=5

(X,y)=(5,5)

(ii) X-Y=3

When X=0

0-Y=3

Y=-3

When Y=0

X-0=3

X=3

(X,Y)=(3,3(

(III) 2x+Y=7

when X=0

0+Y=7

Y=7

when Y=0

2x+0=7

2x=7

X=7/2 or 3.5

(X,Y)=(3.5,7)

(Iv)

3X-2Y=0

when X=0

0-2Y=0

-2Y=0

Y=0

When Y=0

3x-0=0

3X=0

X=0

(X,Y)=(0,0)

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1 year ago

Select correct answer pls^^

alina1380 [7]

It takes 48 hours if 12 people built the same wall.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

4 0

2 years ago

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