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4 years ago

What is the first step to solving this equation? 3(2x-2)= 2(x+3)

Mathematics

2 answers:

zubka84 [21]4 years ago

4 0

Answer:

you distribute the coeffiecient outside: or the 3 and the 2 on both sides

x=3

Step-by-step explanation:

3(2x-2)=2(x+3)

-> distribute the 3 on the left and the 2 on the right

6x-6 = 2x+6

-> add 6 on both sides

6x = 2x +12

-> subtract 2x on both sides

4x =12

-> divide by 4 on both sides

x=3

ANSWER: 3

Ivan4 years ago

3 0

Answer:

The first step to solving this equation is to use the distributive property.

Step-by-step explanation:

3(2x-2)= 2(x+3)

6x-6=2x+3

Hope this helps! Please mark brainliest :)

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3 years ago

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konstantin123 [22]

The maximum area of the pen is the highest area the pen can have

The maximum area is 16200 square yards

Let the dimension be x and y.

So, the perimeter is given as:

$\mathbf{P = 360}$

Because it has one additional fence, the perimeter is calculated as:

$\mathbf{2x + y = 360}$

Make y the subject

$\mathbf{y = 360 - 2x}$

The area is calculated as:

$\mathbf{A = xy}$

Substitute $\mathbf{y = 360 - 2x}$

$\mathbf{A = x(360 -2x)}$

Expand

$\mathbf{A = 360x -2x^2}$

Differentiate

$\mathbf{A' = 360 -4x}$

Set to 0

$\mathbf{360 -4x = 0}$

Rewrite as:

$\mathbf{4x = 360}$

Divide both sides by 4

$\mathbf{x = 90}$

Substitute 90 for x in $\mathbf{A = 360x -2x^2}$

$\mathbf{A = 360 \times 90 - 2 \times 90^2}$

$\mathbf{A = 16200}$

Hence, the maximum area is 16200 square yards