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Math  /  Algebra

QuestionUse the information below to find the value of rr. r=f(4f+m)f=−2m=14\begin{array}{c} r=f(4 f+m) \\ f=-2 \\ m=14 \end{array}

Studdy Solution

STEP 1

1. The equation r=f(4f+m) r = f(4f + m) involves substituting given values for f f and m m .
2. We will substitute the values into the equation and perform arithmetic operations to find r r .

STEP 2

1. Substitute the given values of f f and m m into the equation.
2. Simplify the expression to find the value of r r .

STEP 3

Substitute f=−2 f = -2 and m=14 m = 14 into the equation r=f(4f+m) r = f(4f + m) :
r=(−2)(4(−2)+14) r = (-2)(4(-2) + 14)

STEP 4

First, calculate the expression inside the parentheses:
4(−2)+14=−8+14=6 4(-2) + 14 = -8 + 14 = 6

STEP 5

Now, substitute back into the equation for r r :
r=(−2)(6) r = (-2)(6)

STEP 6

Perform the multiplication to find r r :
r=−12 r = -12
The value of r r is:
−12 \boxed{-12}

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