A right pyramid with a square base has a base length of x inches, and the height is two inches longer than the length of the base. Which expression represents the volume in terms of x?

Volume = 1/3(x³ + 2x²)

Step-by-step explanation:

The formula for determining the volume of a right pyramid with a square base is expressed as

Volume = 1/3 × base area × height

From the information given,

base length = x inches

Base area = x²

The height is two inches longer than the length of the base. It means that the height is (x + 2) inches.

Therefore, the expression represents the volume in terms of x is

Volume = 1/3 × x²(x + 2)

Volume = 1/3(x³ + 2x²)

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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