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tamaranim1 [39]
3 years ago
9

If f(x) = ax(x-3) and f(-2) = 5, what is the value of a?

Mathematics
1 answer:
Dimas [21]3 years ago
3 0

Answer:

a = 1/2

Step-by-step explanation:

f(x) = ax(x-3) and f(-2) = 5

Replace x with -2 and f(x) with 5

5 = a (-2) (-2-3)

5 = a (-2)(-5)

5 = 10a

Divide each side by 10

5/10 = 10a/10

1/2 =a

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For this case we have the following data:

Area of the rectangle, A = 125

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By definition, the area of a rectangle is given by:

A = a * b

Where

  • a: is the longest side.
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If the sides have a 5: 3 ratio, it means:

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a=\frac{5}{3}b

Substituting in the formula of the area, we have:

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Clearing b:

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a = 14.4units

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Answer:

a = 14.4units

b = 8.7units


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