Chapter 2: Q41. (page 79)

Determine the equation of the sentence “A number g to the third power is the same as the product of 24 and g plus 4”.
A. $g^{2} = 2 (g - 10)$
B. $\frac{1}{2} g + 32 = 15 + 6 g$
C. $g^{3} = 24 g + 4$
D. $3 g^{2} = 30 + 9 g$

Short Answer

Expert verified

The equation is $g^{3} = 24 g + 4$ . The correct option is (C).

Step by step solution

Step 1. Given information.

The given sentence is:

A number g to the third power is the same as the product of 24 and g plus 4.

Step 2. Break the sentence and write an expression.

The expression for number g to the third power is $g^{3}$ , and the expression for the product of 24 and g is $24 \times g$ .

So, the expression for $24 \times g$ plus 4 is $24 \times g + 4$ .

Step 3. Write the equation.

Since, $g^{3}$ is same as $24 \times g + 4$ .

Therefore,

$\begin{matrix} g^{3} = 24 \times g + 4 \\ = 24 g + 4 \end{matrix}$

This is the required equation.

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.

Determine the equation of the sentence “A number g to the third power is the same as the product of 24 and g plus 4”.
A. $g^{2} = 2 (g - 10)$
B. $\frac{1}{2} g + 32 = 15 + 6 g$
C. $g^{3} = 24 g + 4$
D. $3 g^{2} = 30 + 9 g$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Break the sentence and write an expression.

Step 3. Write the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Pure Maths

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Determine the equation of the sentence “A number g to the third power is the same as the product of 24 and g plus 4”.A.g2=2g−10B.12g+32=15+6gC.g3=24g+4D.3g2=30+9g

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Break the sentence and write an expression.

Step 3. Write the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Pure Maths

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Determine the equation of the sentence “A number g to the third power is the same as the product of 24 and g plus 4”.
A. $g^{2} = 2 (g - 10)$
B. $\frac{1}{2} g + 32 = 15 + 6 g$
C. $g^{3} = 24 g + 4$
D. $3 g^{2} = 30 + 9 g$