Question

Help please asap!!!!

Answer 1

Solution is (-2,4).

Explanation:

We have given two equations.

f(x) = -x³-4 and g(x) = 0.5x²+x+4

We have to find the solution of above equations when -x³-4 = 0.5x²+x+4

We used method of graphing to find the solution of given equations.

In graphing, the solution of two equations is intersecting points.

Hence, the intersecting point of given equation is (-2,4).

Hence, solution is (-2,4).

Answer 2

`g(x)=0.5x^2+x+4`

Solution: x=-2

Explanation:

Consider the equation
`-x^3-4=0.5x^2+x+4.` Plot the graphs of left and right side functions
`f(x)=-x^3-4` and
`g(x)=0.5x^2+x+4` as shown in the diagram. The solution of the equation is the x-coordinate of the point of intersection between those two graphs. As you can see these graphs intersect at point (-2,4), thus, the solution of the equation is x=-2.