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aliya0001 [1]
4 years ago
13

How do you solve and check x/4 = -5

Mathematics
1 answer:
Mashutka [201]4 years ago
6 0

Rearrange x/4-(-5)=0

Simplify x/4

-5 = -5/1 = -5*4/4

x- (-5*4)/4 = x+20/4

x+ 20/4 = 0

x+20/4 * 4 = 0*4

The equation now takes the shape: x+20=0

subtract 20 from both sides of the equation: x=-20

Answer: x=-20

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Answer:

10 ft x 10 ft

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Step-by-step explanation:

Let 'S' be the length of the southern boundary fence and 'W' the length of the eastern and western sides of the fence.

The total area is given by:

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The cost function is given by:

\$ 120 = \$3*2W+\$6*S\\20 = W+S\\W = 20-S

Replacing that relationship into the Area function and finding its derivate, we can find the value of 'S' for which the area is maximized when the derivate equals zero:

A=S*(20-S)\\A=20S-S^2\\\frac{dA}{dS} = \frac{d(20S-S^2)}{dS}\\0= 20-2S\\S=10

If S=10 then W =20 -10 = 10

Therefore, the largest area enclosed by the fence is:

A=S*W\\A=10*10 = 100\ ft^2

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