Math Problem Statement

If p(x) = 2(x^2 - 13) + 15, what is the value of p(7)?

Solution

The problem states that:

p(x)=2(x213)+15p(x) = 2(x^2 - 13) + 15 and asks for the value of p(7)p(7).

Let's compute p(7)p(7) by substituting x=7x = 7 into the given equation.

p(7)=2(7213)+15p(7) = 2(7^2 - 13) + 15

First, calculate 727^2 and simplify the expression.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, I can walk you through the process step by step:

  1. Start with p(7)=2(7213)+15p(7) = 2(7^2 - 13) + 15.
  2. Compute 727^2, which is 49.
  3. Then, subtract 13 from 49 to get 36.
  4. Multiply 36 by 2, resulting in 72.
  5. Finally, add 15 to 72, which gives you 87.

Therefore, p(7)=87p(7) = 87.

Would you like more details, or have any other questions?

Here are 5 related questions:

  1. What is the general form of a quadratic equation?
  2. How does substitution work in evaluating functions?
  3. What is the vertex form of a quadratic function?
  4. How can you determine the axis of symmetry for a quadratic function?
  5. What are the properties of a parabola?

Tip: When substituting values into a function, carefully follow the order of operations (PEMDAS).

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Math Problem Analysis

Mathematical Concepts

Algebra
Substitution in Functions

Formulas

p(x) = 2(x^2 - 13) + 15

Theorems

Substitution Property

Suitable Grade Level

Grades 8-10