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Chapter 2: Q43. (page 79)

Determine the equation of the sentence 鈥淭he product of 3 and the square of g equals the sum of thirty and the product of nine and g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 3g2=30+9g. The correct option is (D).

Step by step solution

01

Step 1. Given information.

The given sentence is:

The product of 3 and the square of g equals the sum of thirty and the product of nine and g.

02

Step 2. Break the sentence and write an expression.

The expression for the square of g is g2, and the expression for the product of g and 9 is 9脳g.

So, the product of 3 and g2is 3g2and the sum of thirty and 9脳gis 30+9脳g.

03

Step 3. Write the equation.

Since, 3g2equals 30+9脳g.

Therefore,

3g2=30+9脳g=30+9g

This is the required equation.

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