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2 years ago

Use the Distributive Property to solve the equation.4(x - 6) + 6 = 6x-2

Mathematics

2 answers:

KatRina [158]2 years ago

5 0

Answer:

x = -8

Step-by-step explanation:

(4 · x) - (4 · 6) + 6 = 6x - 2

4x - 24 + 6 = 6x - 2

4x - 18 = 6x - 2

Isolate x.

4x = 6x - 2 + 18

4x = 6x + 16

4x - 6x = 16

-2x = 16

x = 16 ÷ -2

x = -8

I hope this helps! :)

kkurt [141]2 years ago

3 0

Answer:

-8 =x

Step-by-step explanation:

4(x - 6) + 6 = 6x-2

Distribute the 4

4x - 24 +6 = 6x-2

Combine like terms

4x - 18 = 6x-2

Subtract 4x from each side

4x-18-4x = 6x-2-4x

-18 = 2x-2

Add 2 to each side

-18+2 = 2x-2+2

-16 = 2x

Divide each side by 2

-16/2 =2x/2

-8 =x

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Answer:

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Step-by-step explanation:

To do this we will have 2 incognitas.

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3 years ago

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2 years ago

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3 years ago

Arectangularplotoflandistobefencedinusingtwokinds of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a fo

svlad2 [7]

Answer:

Dimensions of the rectangular plot will be 500 ft by 750 ft.

Step-by-step explanation:

Let the length of the rectangular plot = x ft.

and the width of the plot = y ft.

Cost to fence the length at the cost $3.00 per feet = 3x

Cost to fence the width of the cost $2.00 per feet = 2y

Total cost to fence all sides of rectangular plot = 2(3x + 2y)

2(3x + 2y) = 6,000

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y = $\frac{1}{2}[3000-3x]$

y = 1500 - $\frac{3x}{2}$

Now area of the rectangle A = xy square feet

A = x[ $1500-\frac{3x}{2}$ ]

For maximum area $\frac{dA}{dx}=0$

A' = $\frac{d}{dx}(1500x-\frac{3}{2}x^{2})$ = 0

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3 years ago

Use the Distributive Property to solve the equation.4(x - 6) + 6 = 6x-2​

Use the Distributive Property to solve the equation.4(x - 6) + 6 = 6x-2