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Sonia graphs the equations y = -x^2 + 4x and y = x - 4 to solve the equation -x^2 + 4x = x - 4. Her graph is shown below.

What are the solutions of -x^2 + 4x = x - 4?

A.) -5 and 0

B.) -5 and 1

C.) -1 and 4

D.) 0 and 4

Sonia graphs the equations y x2 4x and y x 4 to solve the equation x2 4x x 4 Her graph is shown below What are the solutions of x2 4x x 4 A 5 and 0 B 5 and 1 C class=

Respuesta :

-x²+3x+4=0
x²-3x-4=0
(x-4)(x+1)=0
x-4=0
x=4
x-1=0
x=1
C.) -1 and 4
MrRoyal

The solutions of -x^2 + 4x = x - 4 are -1 and 4

How to determine the solutions?

The equation is given as

-x^2 + 4x = x - 4

When split, it becomes

y = -x^2 + 4x

y  = x - 4

The graph represents the above equations.

So, the solution is the point of intersection of both equations

The equations intersect at x = -1 and x = 4

Hence, the solutions of -x^2 + 4x = x - 4 are -1 and 4

Read more about equation solutions at:

https://brainly.com/question/2972832

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