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2 years ago

Question 1

Mathematics

1 answer:

Viktor [21]2 years ago

7 0

Answer:

a. -3x = -2y

When x=6, y=9

Step-by-step explanation:

From the hanger, There are two sides

If x=triangle and y=square

First side has 1 triangle and 3 squares

It can be represented by

x+3y

Second side has 4 triangles and 1 square

It can be represented by

4x+y

Equate the first and second side

x+3y=4x+y

Collect like terms

x+3y-4x-y=0

-3x+2y=0

-3x=-2y

Find y when x=6

-3(6)=-2y

-18=-2y

Divide both sides by -2

-18/-2=-2y/-2

9=y

y=9

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A large drum in the shape of a cylinder is used to store used oil. The drum is 4 feet tall with a radius of 2 feet.

katrin [286]

<h3>Answer: 75.36 square feet</h3>

Your teacher may want you to type the number only.

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Work Shown:

SA = surface area of a cylinder

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6 0

1 year ago

Read 2 more answers

If F(x)=4x-1 and g(x)=x^2+7, what is g(f(x))

VashaNatasha [74]

Answer

$g(f(x)) = = 16 {x}^{2} - 8x + 8$

step by step Explanation

The functions given are

$f (x)= 4x- 1$

$g(x)= {x}^{2} + 7$

We want to find:

$g(f (x))= g( 4x- 1)$

This implies that

$g(f (x))= ( (4x- 1)^{2} + 7)$

Let us now simplify

$( {a - b)}^{2} = {a}^{2} -2ab + {b}^{2}$

This implies that

$( (4x- 1)^{2} + 7) =( {(4x)}^{2} - 2(4x) \times 1 + 1$

Combine the terms to get,

$= 16 {x}^{2} - 8x + 1 + 7$

$= 16 {x}^{2} - 8x + 8$