Chapter 2: Q42. (page 79)

Determine the equation of the sentence “The square of g is the same as two times the difference of g and 10”.
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 $g^{2} = 2 (g - 10)$ . The correct option is (A).

Step by step solution

Step 1. Given information.

The given sentence is:

The square of g is the same as two times the difference of g and 10.

Step 2. Break the sentence and write an expression.

The expression for the square of g is $g^{2}$ , and the expression for the difference of g and 10 is $g - 10$ .

So, the expression for two times of $g - 10$ is $2 (g - 10)$ .

Step 3. Write the equation.

Since, $g^{2}$ is same as $2 (g - 10)$ .

Therefore,

$g^{2} = 2 (g - 10)$

This is the required equation.

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Determine the equation of the sentence “The square of g is the same as two times the difference of g and 10”.
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.

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Determine the equation of the sentence “The square of g is the same as two times the difference of g and 10”.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

Probability and Statistics

Pure Maths

Applied Mathematics

Statistics

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Determine the equation of the sentence “The square of g is the same as two times the difference of g and 10”.
A. $g^{2} = 2 (g - 10)$
B. $\frac{1}{2} g + 32 = 15 + 6 g$
C. $g^{3} = 24 g + 4$
D. $3 g^{2} = 30 + 9 g$