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ICE Princess25 [194]
1 year ago
15

If f(x) = 2x-4 and g(x) = x2 - 4x, find g(-4) And the (x2 - 4x) the 2 is a exponent

Mathematics
1 answer:
Luden [163]1 year ago
5 0

Evaluate the given function in x=-4.

This is, replace the x in the function for -4 and find the value of g(-4).

\begin{gathered} g(x)=x^2-4x \\ g(-4)=(-4)^2-4(-4) \\ g(-4)=16+16 \\ g(-4)=32 \end{gathered}

The value of g(-4) is 32.

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Answer:

9 inches

Step-by-step explanation:

Do the question algebraically, represented by this equation:

let x be the shorter piece

x + (x + 8) = 26                      (longer piece is 8 units longer)

Remove brackets

x + x + 8 = 26                 Combine like terms              

2x + 8 = 26                   Start isolating "x"

2x + 8 - 8 = 26 - 8           Subtract 8 from both sides

2x = 18

2x/2 = 18/2           Divide both sides by 2

x = 9                    shorter piece

The shorter piece would be 9 inches.

If you needed the longer piece too:

longer piece = x + 8

x + 8

= 9 + 8

= 17

The longer piece would be 17 inches.

Check your answer:

Longer + Shorter = 26           Substitute the lengths

17 + 9 = 26                    Add

26 = 26                same number

LS = RS                left side equals right side

The answer is correct.

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Step-by-step explanation:

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