Question
Evaluate \( (4 r-3 s)(-2 t) \), when \( r=3, s=7 \), and \( t=-6 \). Select the correct choice below and fill in any answer boxes within your choice. A. \( (4 r-3 s)(-2 t)= \) B. The answer is undefined.
Ask by Carrillo Lang. in the United States
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( (4r-3s)(-2t) = -108 \)
Solution
**Step 1:** Substitute the given values into \(4r-3s\):
\[
4r-3s=4(3)-3(7)=12-21=-9
\]
**Step 2:** Substitute the given value into \(-2t\):
\[
-2t=-2(-6)=12
\]
**Step 3:** Multiply the two results together:
\[
(4r-3s)(-2t)=(-9)(12)=-108
\]
**Answer:**
A. \( (4r-3s)(-2t)= -108 \)
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Simplify this solution Mind Expander
First, let's evaluate the expression \( (4 r-3 s)(-2 t) \) using the given values \( r=3, s=7 \), and \( t=-6 \). 1. Calculate \( 4r \): \[ 4r = 4 \times 3 = 12 \] 2. Calculate \( 3s \): \[ 3s = 3 \times 7 = 21 \] 3. Substitute these values into \( (4r - 3s) \): \[ 4r - 3s = 12 - 21 = -9 \] 4. Now calculate \( -2t \): \[ -2t = -2 \times (-6) = 12 \] 5. Finally, multiply \( (4r - 3s) \) by \( -2t \): \[ (4r - 3s)(-2t) = (-9)(12) = -108 \] So the correct choice is: A. \( (4 r-3 s)(-2 t) = -108 \)
