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slamgirl [31]
3 years ago
5

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 + 28x - 414
B.
P(x) = 2x2 + 102x + 1,288
C.
P(x) = 2x2 + 110x + 1,472
D.
P(x) = 2x2 + 74x + 644
Mathematics
2 answers:
tatuchka [14]3 years ago
8 0

Answer:

  D.  2x² +74x +644

Step-by-step explanation:

The first number can be written as (x +23).

The second number can be written as 2(x+23)-18 = (2x +28).

The product of these numbers can be found using the distributive property:

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

  = 2x² +28x +46x +644 . . . . . . . already you know the correct answer choice

  P(x) = 2x² +74x +644

SashulF [63]3 years ago
3 0

Answer:

I got P(x) = 2x^2 + 28x - 414

A

Step-by-step explanation:

I hope this helps you!! Have a lovely day

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