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astra-53 [7]
3 years ago
8

What is the relative maximum and minimum of the function?

Mathematics
1 answer:
nevsk [136]3 years ago
8 0
Take the derivitive
f'(x)=3x^2+12x
find where it equals zero
it equal zero at x=0 and x=-4
find the y values
f(0)=-36
f(-4)=-4
the critical points are (0,-36) and (-4,-4)

make sign chart
evalutat f'(x) at x=-5 and x=-1 and x=1, and see their signs
f'(-5)=(+)
f'(-1)=(-)
f'(1)=(+)
see below attachment

max is where sign changes from (+) to (-)
min is where sign changes from (-) to (+)

so
max at (-4,-4)
min at (0,-36)
none of the options are correct, do you have te right problem?

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y=mx+b

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Mr. Gonzalez built two identical flower beds in his yard with the dimensions shown. A prism has a length of 6 feet, height of 2
Lady bird [3.3K]

Answer:

For the 2 the identical flower beds he will require 44 × 2 = 88 ft² of paints to paint the sides of the beds.

Step-by-step explanation:

The prisms are 2 identical flower beds . The dimensions are the same which have a length of 6 ft , height of 2 ft and width of 5 ft. He wants to paints the side of the beds which is the lateral area of the prisms.

Lateral surface area of a rectangular prism is adding the area of the lateral faces of the prism.

Lateral surface area = PH

P = perimeter of the side

H = height

perimeter = (2L + 2W)

where

L = length

W = width

L = 6 ft

W = 5 ft

perimeter = (2L + 2W)

perimeter = (2 × 6 + 2 × 5)

perimeter = (12 + 10)

perimeter = 22 ft

Lateral area = 22 × 2

Lateral area = 44 ft²

For the 2 the identical flower beds he will require 44 × 2 = 88 ft² of paints to paint the sides of the beds.

3 0
3 years ago
Pythagorean Theorem to find the missing the leg, if the hypotenuse is 12 inches and the other leg is 7 inches
madreJ [45]

Answer:

Adjacent = 9.75 inches.

Step-by-step explanation:

Given the following data;

Hypothenus = 12 inches

Opposite = 7 inches

To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;

Hypothenus² = opposite² + adjacent²

Substituting into the formula, we have;

12² = 7² + adjacent²

144 = 49 + adjacent²

Adjacent² = 144 - 49

Adjacent² = 95

Taking the square root of both sides, we have;

Adjacent = 9.75 inches.

Therefore, the other leg is 9.75 inches.

8 0
2 years ago
how much interest will roxanne have to pay if she borrows $3,000 for 3 years at a simple interest rate of 2%
Darya [45]
Simpe interest rate = PRT/100
— ( principal x rate x time ) / 100

$3,000 is the principal
3 years is the time
2% is the rate

so, PRT/100
(3,000 x 3 x 2) / 100
= $180

Answer : $180
4 0
3 years ago
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