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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q. 390 (page 91)

In the following exercises, evaluate the following expressions.
When $x = 4$
localid="1644427040415" $(a) x^{3} (b) 5^{x} (c) 2 x^{2} - 5 x + 3$

Short Answer

Expert verified

The values of the given expressions are

$(a) 64$

$(b) 625$

$(c) 13$

Step by step solution

01

Step 1. Given information

The value of $x = 4$

$(a) x^{3} (b) 5^{x} (c) 2 x^{2} - 5 x + 3$

02

Part a.Step 1. Evaluate the expression

$(a)$

localid="1644047873541" width="193" style="max-width: none; vertical-align: -36px; user-select: auto;" $x^{3} = 4^{3} (use x = 4) = 4 脳 4 脳 4 = 64$

Hence, the value of the expression is 64.

03

Part b.Step 1. Evaluate the expression

$(b)$

$5^{x} = 5^{4} = 5 脳 5 脳 5 脳 5 = 625$

Hence, the value of the expression is 625.

04

Part c.Step 1.Evaluate the expression

$(c)$

$2 x^{2} - 5 x + 3 = 2 {(4)}^{2} - 5 (4) + 3 = 2 (16) - 20 + 3 = 30 - 17 = 13$

Hence, the value of the expression is 13.

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