Math Problem Statement
If p(x) = 2(x^2 - 13) + 15, what is the value of p(7)?
Solution
The problem states that:
and asks for the value of .
Let's compute by substituting into the given equation.
First, calculate 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:
- Start with .
- Compute , which is 49.
- Then, subtract 13 from 49 to get 36.
- Multiply 36 by 2, resulting in 72.
- Finally, add 15 to 72, which gives you 87.
Therefore, .
Would you like more details, or have any other questions?
Here are 5 related questions:
- What is the general form of a quadratic equation?
- How does substitution work in evaluating functions?
- What is the vertex form of a quadratic function?
- How can you determine the axis of symmetry for a quadratic function?
- 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