Question

Rhea is solving a math puzzle. To find the solution of the puzzle, she must find the product of two numbers. The first number is the sum of 23 and x, and the second number is 18 less than two times the first number. Which of the following functions represents the product of these two numbers?
A.
P(x) = 2x2 + 102x + 1,288
B.
P(x) = 2x2 + 28x - 414
C.
P(x) = 2x2 + 74x + 644
D.
P(x) = 2x2 + 110x + 1,472

Answer 1

Answer:

P(x) = 2x² + 74x + 644

Step-by-step explanation:

The first number is x + 23.

The second number is:

2(x + 23) − 18

2x + 46 − 18

2x + 28

The product is:

P(x) = (x + 23) (2x + 28)

P(x) = 2x² + 28x + 46x + 644

P(x) = 2x² + 74x + 644

Answer 2

C. Is correct hope you pass, hope this helps