Given f '(x) = (2 - x)(6 - x), determine the intervals on which f(x) is increasing or decreasing. (2 points)Decreasing (-∞, 2); increasing on (6, ∞)
Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)
Decreasing (-∞, 2) U (6, ∞); increasing on (2, 6)
Increasing (-∞, -2) U (-6, ∞); increasing on (-2, -6)

Answers

Answer 1

Answer:

Answer:

Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)

Step-by-step explanation:

To determine where $f(x)$ is increasing or decreasing, we set $f'(x)=0$ and check for the intervals.

We see that $f'(x)=0$ when either $x=2$ or $x=6$ . Therefore, we'll need to check the intervals $(-\infty,2)$ , $(2,6)$ , and $(6,\infty)$

For the interval $(\infty,2)$ , we can pick $x=0$ . This means that $f'(0)=(2-0)(6-0)=(2)(6)=12>0$ , showing that $f(x)$ increases on the interval $(-\infty,2)$

For the interval $(2,6)$ , we can pick $x=4$ . This means that $f'(4)=(2-4)(6-4)=(-2)(2)=-4<0$ , showing that $f(x)$ decreases on the interval $(2,6)$

For the interval $(6,\infty)$ , we can pick $x=7$ . This means that $f'(7)=(2-7)(6-7)=(-5)(-1)=5>0$ , showing that $f(x)$ increases on the interval $(6,\infty)$

Therefore, $f(x)$ is increasing on $(-\infty,2)\cup(6,\infty)$ and is decreasing on $(2,6)$ .

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Which is the equation of the line that has a slope of 1/2

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

y= 1/2x-2

hope that help!

Help!! Is anyone good at algebra??

Answers

Answer:

h = 20 m

Step-by-step explanation:

So you know volume of a cylinder = π*(r^2) * h

and you also know volume of this cylinder = 180π

(volume is also in meters^3)

you can set these volumes equal to one another

180π = π*(r^2) * h

by dividing by π you get this:

180 = (r^2) * h

you need h so you can divide by r^2 to get this

h = 180 / (r^2)

now you just need to plug in the radius you are given which was 3 meters

h = 180 m^3 / (3 m^2)

h = 180 m^ 3 / 9 m^2

h = 20 m

Complete the pattern 0.095 9.5 950 95,000 9,500

Answers

Answer:

the next number is 9,500,000 each time you multiply the number by 100

Step-by-step explanation:

0.095×100=9.5

9.5×100=950

and so on good luck

While hiking, Sandra went up 120 meters. If Sandra started at 800 meters above sealevel, what is her elevation now?

Answers

The Answer:

If Sandra started at 800 meters and went up 120, the answer would be 920.

Step-by-step explanation:

First, simply add 800 meters, which is what she started with. Next, since she has gone up 120 meters since then, and the question is asking us what her elevation is NOW, you can add 800 + 120 to get 920. This question is solved by using addition.

Hope this helps!

Sandra is 920 meters above sea level

You would add 120 and 800 which is 920

Helppp ME PLSSSS

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