0.36 x 2 + 0.63 x + 1.17 The given expression can be rewritten as a 4 x 2 +

Question

0.36 x 2 + 0.63 x + 1.17 The given expression can be rewritten as a 4 x 2 + 7 x + 13 , where a is a constant. What is the value of a ?

Accepted Answer

The correct answer is .09 . It's given that the expression 0.36 x 2 + 0.63 x + 1.17 can be rewritten as a 4 x 2 + 7 x + 13 . Applying the distributive property to the expression a 4 x 2 + 7 x + 13 yields 4 a x 2 + 7 a x + 13 a . Therefore, 0.36 x 2 + 0.63 x + 1.17 can be rewritten as 4 a x 2 + 7 a x + 13 a . It follows that in the expressions 0.36 x 2 + 0.63 x + 1.17 and 4 a x 2 + 7 a x + 13 a , the coefficients of x 2 are equivalent, the coefficients of x are equivalent, and the constant terms are equivalent. Therefore, 0.36 = 4 a , 0.63 = 7 a , and 1.17 = 13 a . Solving any of these equations for a yields the value of a . Dividing both sides of the equation 0.36 = 4 a by 4 yields 0.09 = a . Therefore, the value of a is 0.09 . Note that .09 and 9/100 are examples of ways to enter a correct answer.

Question 036-x-