Math Problem Statement

rewrite the function h(t)=-0.5+6t-10

Solution

The function you've provided is:

h(t)=0.5+6t10h(t) = -0.5 + 6t - 10

To simplify it, you can combine the constant terms:

h(t)=6t10.5h(t) = 6t - 10.5

This is the simplified version of the function.

Would you like any further details or a breakdown of the steps?

Here are 5 related questions to consider:

  1. How would you evaluate h(t)h(t) for specific values of tt?
  2. What is the slope of the linear function h(t)h(t)?
  3. How would you graph the function h(t)=6t10.5h(t) = 6t - 10.5?
  4. What is the y-intercept of the function h(t)h(t)?
  5. How would you find the value of tt when h(t)=0h(t) = 0?

Tip: When simplifying linear functions, always combine like terms (constant terms and terms with tt) to make it more manageable!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Simplification

Formulas

Linear function: h(t) = mt + b

Theorems

Properties of Linear Equations

Suitable Grade Level

Grades 6-8