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Chapter 2: Q41. (page 79)

Determine the equation of the sentence 鈥淎 number g to the third power is the same as the product of 24 and g plus 4鈥�.

A.g2=2g鈭�10

B.12g+32=15+6g

C.g3=24g+4

D.3g2=30+9g

Short Answer

Expert verified

The equation is g3=24g+4. The correct option is (C).

Step by step solution

01

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.

02

Step 2. Break the sentence and write an expression.

The expression for number g to the third power is g3, and the expression for the product of 24 and g is 24脳g.

So, the expression for 24脳gplus 4 is 24脳g+4.

03

Step 3. Write the equation.

Since, g3is same as 24脳g+4.

Therefore,

g3=24脳g+4=24g+4

This is the required equation.

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