Math Problem Statement
If m is 4 times n plus 2 and y is negative −2 times m plus 2, then write y as a function of n. Question content area bottom Part 1 yequals=enter your response here (Simplify your answer.)
Solution
We are given the following relationships:
We need to express as a function of .
Step 1: Substitute into the equation for
Substitute into the equation for :
Step 2: Simplify the equation
Distribute the inside the parentheses: Now, simplify further:
Thus, as a function of is:
Would you like more details or have any questions?
Here are 5 related questions:
- How can we graph on a coordinate plane?
- If , what is the value of ?
- What is the slope of the function ?
- How does the function compare to ?
- Can you find the value of when ?
Tip: Always check your substitutions carefully to avoid mistakes in solving.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Substitution
Formulas
y = -2m + 2
m = 4n + 2
Theorems
-
Suitable Grade Level
Grades 8-10