https://file.aiquickdraw.com/mathbot/file/17268415820436vd1a5rg.jpg

The problem asks you to evaluate \( h(5t^2) \) given that \( h(t) = 11 - 7t \).

Let's solve it step by step:

1. The function \( h(t) \) is given as:
   \[
   h(t) = 11 - 7t
   \]
   
2. Now, instead of \( t \), we need to evaluate \( h(5t^2) \). This means we substitute \( 5t^2 \) for \( t \) in the function:
   \[
   h(5t^2) = 11 - 7(5t^2)
   \]

3. Simplifying the expression:
   \[
   h(5t^2) = 11 - 35t^2
   \]

Thus, the answer is:
\[
h(5t^2) = 11 - 35t^2
\]

Would you like further details or have any other questions?

---

Here are 5 related questions you might want to explore:
1. What is the general process for evaluating composite functions?
2. How would you approach evaluating \( h(2t^3) \) for the same function?
3. Can you graph the function \( h(t) = 11 - 7t \)?
4. How does substitution work in more complex functions like trigonometric or exponential?
5. How can you verify the correctness of substituted functions?

**Tip:** Always double-check your substitution step, as mistakes there can lead to incorrect results in function evaluation!

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

Learn how to evaluate the function h(5t^2) when h(t) = 11 - 7t by using substitution. This problem illustrates key algebraic concepts, such as function substitution and simplification. Suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation