All categories

2 years ago

The graph of f', the derivative of the function f, is shown above. Which of the following could be the graph of f?

Mathematics

1 answer:

scoundrel [369]2 years ago

3 0

In the region 0-2, the first derivative has a zero at x=1, and the second derivative (slope of the first derivative line) is positive. This means f(x) will have a minimum at x=1.

Likewise, in the region 4-6, the second derivative is negative and the first derivative is zero at x=5, indicating a maximum there.

These observations narrow the selection to choices A or C. The derivative curve is continuous at x=2 and x=4, so there will not be any discontinuities in f(x)--eliminating selection C.

The best choice is A.

You might be interested in

Ramiro earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ramiro earned a total of $650.

nika2105 [10]

Answer:

Week=25 Hours

Weekend= 5 Hours

Step-by-step explanation:

So we need to use the info they gave us and create two equations. Firstly we know how much he gets paid per hour during the week (x) and how much he gets paid on the weekend (y).

$20x+$30y=$650

We get this because we know the combined rates he is paid times the hours should add up to the amount he earned.

The next equation will be made off of the information that he worked 5 times as many hours during the week as on the weekend. This tells us that we will take the weekend hours (y) and multiply them by 5 in order to get the week hours (x).

x=5y Now, since we have one variable by itself, we can plug it in for x in the first equation.

20(5y)+30y=650 Our first step here is to distribute the 20 to the 5y in order to eliminate the parenthesis.

100y+30y=650 Next add the like terms together (100y+30y).

Now all we have to do to find y is divide by 130 on both sides to get y alone.

130y=650

________

130 130

y=5 Now to solve for x we just plug our y value into one of the equations above. I'm going to use the second equation.

x=5(5)

x=25

3 0

2 years ago

Please help me on this

garri49 [273]

Answer:

It's not specific enough, I'll come back to you!

6 0

2 years ago

Leah's house has media room with a large flat screen tv. The media room tv has a width of 8 feet and a height of 4.5 feet. The f

neonofarm [45]

The ratio of the media room tv's width to height is 8ft to 4.5ft or 8/4.5

since the ratio of the living room tv's width to height is the same, the ratio would be
x/27 = 8/4.5
with x being the living room tv's width. Solve for x
x = (8/4.5)(27)
= 48
The width of the living room tv is 48 inches

4 0

2 years ago

Read 2 more answers

There are 1,570 souvenir paperweights that need to be packed in boxes. Each box will hold 17 paperweights. How many boxes will b

arlik [135]

Answer:

93 boxes will be needed.

Step-by-step explanation:

Divide 1570 ÷ 17

This gives the answer 92.35

So 92 boxes won't be enough. 0.35 of a box itsn't helpful in the real world. So you need 93 boxes.

8 0

1 year ago

HELP ASAP

Oliga [24]

Answer:

27.5cm^2

Step-by-step explanation:

you can cut the triangle to make two right triangles

so 11 is the height and the width is 2.5 since your cutting the triangle in half

so 11x2.5=27.5 since its a right triangle you have to divide by two 27.5/2=13.75

that's the answer for one of the triangles now multiply it by two since you need the two right triangle to make the other triangle so the answer is 27.5

5 0

2 years ago