The anwsers are
A.(0,-1)
B.(-2,3)
C(-4,0)
D(0,-4)

  D.   (0, -4)

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Explanation:

If you solve for y, you would get . The less than or equal to sign shows we shade below the solid boundary line.

Of the four answer choices mentioned, only (0,-4) is in the shaded region. So this is the only solution.

If we plugged the coordinates into the inequality, we get a true statement as shown below

This is a true statement because -16 is to the left of -8 on the number line. So -16 is smaller.

In contrast, if we tried something like (x,y) = (0,-1), then we see...

Which is not true because -4 is actually larger than -8. Use a number line to see this. So (0,-1) is not a solution. The same can be said about (-2,3) and (-4,0) also.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204