Math Problem Statement

Evaluate h(5t^2), given h(t) = 11 - 7t.

Solution

It looks like you're being asked to evaluate h(5t2)h(5t^2), where the function h(t)h(t) is given as h(t)=117th(t) = 11 - 7t.

To evaluate h(5t2)h(5t^2), you can follow these steps:

  1. Start with the given function: h(t)=117th(t) = 11 - 7t

  2. Now substitute 5t25t^2 for tt in h(t)h(t): h(5t2)=117(5t2)h(5t^2) = 11 - 7(5t^2)

  3. Simplify the expression: h(5t2)=1135t2h(5t^2) = 11 - 35t^2

This matches the expression you provided in the image, which seems correct mathematically.

However, since the system marked the answer as incorrect, it is possible that:

  • The format of the answer might require additional clarification (like using parentheses or a different notation).
  • There could be a rounding issue, or a specific expected output format.

Let me know if you want further clarifications or if you'd like me to help check any specific formatting requirements!


Here are five questions related to this problem:

  1. What is the role of substitution in function evaluation?
  2. How does squaring affect the variable in the function?
  3. Why does substituting 5t25t^2 in h(t)h(t) give a quadratic expression?
  4. Can functions be evaluated for complex numbers in the same way?
  5. How does the coefficient 35-35 influence the parabola formed by h(5t2)h(5t^2)?

Tip: Always double-check the required format for your answer in online systems, as formatting differences (like parentheses or exact symbolic forms) can sometimes cause the system to mark correct answers as incorrect.

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Math Problem Analysis

Mathematical Concepts

Algebra
Function Evaluation
Substitution

Formulas

h(t) = 11 - 7t
Substitute t = 5t^2 into h(t)

Theorems

Substitution Theorem

Suitable Grade Level

Grades 9-10