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

Step 1. Given information

The value of $x = 4$

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

Part a.Step 1. Evaluate the expression

$(a)$

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

Hence, the value of the expression is 64.

Part b.Step 1. Evaluate the expression

$(b)$

$5^{x} = 5^{4} = 5 \times 5 \times 5 \times 5 = 625$

Hence, the value of the expression is 625.

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.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

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

Step by step solution

Step 1. Given information

Part a.Step 1. Evaluate the expression

Part b.Step 1. Evaluate the expression

Part c.Step 1.Evaluate the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Geometry

Decision Maths

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, evaluate the following expressions.When x=4localid="1644427040415" ax3b5xc2x2-5x+3

Short Answer

Step by step solution

Step 1. Given information

Part a.Step 1. Evaluate the expression

Part b.Step 1. Evaluate the expression

Part c.Step 1.Evaluate the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Geometry

Decision Maths

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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