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Chapter 6: Problem 21

Evaluate the algebraic expression for the given value or values of the variables. \(4+5(x-7)^{3} ; \quad x=9\)

Short Answer

Expert verified
The evaluated expression is \(44\).

Step by step solution

01

Substitute the given value

Substitute \(x = 9\) into the expression, this becomes \(4+5(9-7)^{3}\).
02

Handling the Parentheses

Solve inside the parentheses first, following the BIDMAS/BODMAS order: \(4+5(2)^{3}\).
03

Compute the Power

Next, compute the power before the multiplication: \(4+5*8\).
04

Perform the Multiplication

After that, perform the multiplication operation: \(4+40\).
05

Perform the Addition

Finally, perform the addition operation: \(44\).

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Most popular questions from this chapter

In Exercises 33-36, solve each equation using the zero-product principle. \(x^{2}+8 x+15=0\)

Solve the equations using the quadratic formula. \(4 x^{2}=12 x-9\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-x-90\)

Solve the quadratic equations by factoring. \(x^{2}-2 x-15=0\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I began the solution of \(5-3(x+2)>10 x\) by simplifying the left side, obtaining \(2 x+4>10 x\).
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