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 + 110x + 1,472 B. P(x) = 2x2 + 74x + 644 C. P(x) = 2x2 + 28x - 414 D. P(x) = 2x2 + 102x + 1,288

Answer 1

Answer:

Option B. $P(x)=2x^{2}+74x+644$

Step-by-step explanation:

we know that

The first number is $(x+23)$

and the second number is $2(x+23)-18$

so

the product of these two numbers is

$P(x)=(x+23)*[2(x+23)-18]$

$P(x)=2(x+23)^{2}-18(x+23)$

$P(x)=2(x^{2}+46x+529)-18x-414$

$P(x)=2x^{2}+92x+1,058-18x-414$

$P(x)=2x^{2}+74x+644$

Answer 2

Answer:

p(x)=2x^2+74x+644

Step-by-step explanation:

All you do is plug in the numbers to eachof the answers until you find the right one.