Question

30 POINTS!!! PLEASE HELP

Select the correct answer.

The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approximately equal?

A. -1.5
B. -1.6
C. -1.7
D. -1.8

Answer 1

D

Explanation:

Answer 2

-1.8

Explanation:

y1 = 1/(x+2) y2 = x²+2

Trial method

x=-1.5

y1 = 1/(x+2) = 2 y2 = x²+2 =4.25

x=-1.6

y1 = 1/(x+2) = 2.5 y2 = x²+2 =4.56

x=-1.7

y1 = 1/(x+2) = 3.33 y2 = x²+2 =4.89

x=-1.8

y1 = 1/(x+2) = 5 y2 = x²+2 =5.24

y values are closest at x = -1.8