Graph the function. See attached picture. Between the interval where -4 > x < 0, the graph rises up to a peak and descends back down when x = 0. This means the minimum value will be where x = -4.

Substitute x = -4 into the equation.

f(-4) = (-4)^3 -3(-4)^2 - 9(-4) + 2

f(-4) = -64 -3(16) +36 + 2

f(-4) = -64 - 48 + 36 + 2

f(-4) = -74

5 0

3 years ago

Three good friends are in the same algebra class. Their scores on a recent test are three consecutive even integers whose sum is

klio [65]

Let the lowest score be x.

The 3 consecutive even scores are:

1st score = x

2nd score = x + 2

3rd score = x + 4

Sum of their score is 270:

x + (x + 2) + (x + 4) = 270

Solve x:

x + (x + 2) + (x + 4) = 270

x + x + 2 + x + 4 = 270

3x + 6 = 270

3x = 264

x = 88

Find their scores:

1st score = x = 88

2nd score = x + 2 = 88 + 2 = 90

3rd score = x + 4 = 88 + 4 = 92

Answer: The scores are 88, 90 and 92

6 0

2 years ago