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Rus_ich [418]
2 years ago
6

The graph of F ( x ) = 4/x2 - 2x - 3 is shown for which values of X is f ( x ) decreasing

Mathematics
1 answer:
Elza [17]2 years ago
6 0

Hi there!

\large\boxed{(-\infty, \sqrt[3]{-4}) \text{ and } (0, \infty) }

We can find the values of x for which f(x) is decreasing by finding the derivative of f(x):

f(x) = \frac{4}{x^2} - 2x - 3

Taking the derivative gets:

f'(x) = -\frac{8}{x^3} - 2

Find the values for which f'(x) < 0 (less than 0, so f(x) decreasing):

0 = -8/x³ - 2

2 = -8/x³

2x³ = -8

x³ = -4

x = \sqrt[3]{-4}

Another critical point is also where the graph has an asymptote (undefined), so at x = 0.

Plug in points into the equation for f'(x) on both sides of each x value to find the intervals for which the graph is less than 0:

f'(1) = -8/1 - 2 = -10 < 0

f'(-1) = -8/(-1) - 2 = 6 > 0

f'(-2) = -8/-8 - 2 = -1 < 0

Thus, the values of x are:

(-\infty, \sqrt[3]{-4}) \text{ and } (0, \infty)

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Answer:

a) en cuántas filas la suma es igual?

2+7+2+0+2=13

0+1+6+1+0=8

2+0+2+8+1=13

es igual en dos filas la primera y la última

b)en cuántas columnas la suma es igual?

2+0+2=4

7+1+0=8

2+6+2=8

0+1+8=9

2+0+1=3

es igual en dos columnas la segunda y la tercera

listo :)

Step-by-step explanation:

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2 years ago
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X varies directly as y. If x is 9 when y is 4, find x when-y is 8.
jeka94

Answer:

see explanation

Step-by-step explanation:

Given x varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition x = 9 when y = 4

k = \frac{x}{y} = \frac{9}{4} = 2.25

x = 2.25y ← equation of variation

When y = 8, then

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Answer:

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Step-by-step explanation:

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G= 7<br> h = 5<br> Work out the value of 3g + 2h
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Step-by-step explanation:

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A construction worker is filling a container in the shape of a right circular cylinder with cement. the container has a base dia
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The volume of this container is 5990 feet³.

<h3>How to calculate the volume?</h3>

Volume of a cylinder = πr²h

π = 3.14

r = radius = 17.5/2 = 8.75

h = 24.5

The volume will be:

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Therefore, the volume of this container is 5990 feet³.

Learn more about volume on:

brainly.com/question/463363

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