Question
Question 1 If \( a=3, b=-3, c=4 \) and \( d=7 \), evaluate: a) \( \frac{4 a-2}{c} \) b) \( \frac{b^{2}+b^{3}}{a-c} \) c) \( \frac{a^{c}}{d+2} \)
Ask by Morgan Carroll. in Australia
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a) 2.5
b) 18
c) 9
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Let's evaluate each expression step by step with the given values \( a=3, b=-3, c=4, d=7 \). a) \[ \frac{4a - 2}{c} = \frac{4(3) - 2}{4} = \frac{12 - 2}{4} = \frac{10}{4} = \frac{5}{2} = 2.5 \] b) \[ \frac{b^2 + b^3}{a - c} = \frac{(-3)^2 + (-3)^3}{3 - 4} = \frac{9 - 27}{-1} = \frac{-18}{-1} = 18 \] c) \[ \frac{a^c}{d + 2} = \frac{3^4}{7 + 2} = \frac{81}{9} = 9 \] So the evaluations are: a) \( 2.5 \) b) \( 18 \) c) \( 9 \)