Question

Fran graphs the equations y = 2x2 – 2 and y = –0.5x + 4. Her graph is shown below.

Which value is an approximate solution of 2x2 – 2 = –0.5x + 4?
A. x=-2
B. x=-1
C. x=1
D. x=5
Those are the choices

Answer 1

the answer is A. x= -2 the first choice

Answer 2

Option A is correct

x= -2 is an approximate solution of
`2x^2-2 = -0.5x+4`

Explanation:

As per the statement:

Fran graphs the equations

`y=2x^2-2` and

`y = -0.5x + 4`

Equate these two equations:

`2x^2-2 = -0.5x+4`

You can see the graph for these equations as shown.

Since, the line and the parabola intersects at x = -2 and x = 1.5.

From the given options:

x = -2 is the solution for these equations.

Therefore, the value is an approximate solution of
`2x^2-2 = -0.5x+4` is, x = -2