The sum of 2 numbers is 52. Express the product of the numbers, P, as a function of one of the numbers, x.

The sum of 2 numbers is 52. Express the product of the numbers, P, as a function of one of the numbers, x.

the answer is p (x) = - x² + 52x

Step-by-step explanation:

let the two numbers be x and y

the sum of the two numbers = x + y

≡ x + y = 52

make y the subject of equation

y = 52 - x

to express the product of the numbers, P, as a function of one of the numbers, x. implies that

P (x) = x (-x + 52)

finally,

p (x) = - x² + 52x