Answer:
-2(-4)^2 - (5)(-4)
-2(-16) -( -20)
-32 +20
-12
Step-by-step explanation:
-12
In this exercise, we have the following expression:
[tex]-2x^2-5x[/tex]
So our goal is to plug in [tex]x=-4[/tex] and find the output. To do so, let's rewrite the expression as a function of [tex]x[/tex]. So, we can write:
[tex]f(x)=-2x^2-5x[/tex]
Then this is a quadratic function whose graph represents a parabola.
If [tex]x=-4[/tex], we will find the output [tex]f(-4)[/tex], so:
[tex]f(-4)=-2(-4)^2-5(-4) \\ \\ f(-4)=-2(16)+20 \\ \\ f(-4)=-32+20 \\ \\ \boxed{f(-4)=-12}[/tex]
So the correct answer is -12
