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Murrr4er [49]
3 years ago
7

If f(x)=x^3-x, what is the average rate of change of f(x) over the interval [1,5]?

Mathematics
1 answer:
RSB [31]3 years ago
4 0

Answer:

30

Step-by-step explanation:

Average rate of change=Δf(x)/Δx = [f(x2)-f(x1]/[x2-x1]

Δf(x)/Δx = [f(5)-f(1]/[5-1]

f(5)=5³-5=120

f(1)=1³-1=0

Δf(x)/Δx = [120-0]/[5-1]=120/4=30

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If a car reaches speeds of 0-100 mph in 0.8 seconds, how many mph will it reach in 1 second?
zvonat [6]

Answer:

125 mph

Step-by-step explanation:

This can be calculated as a simple rule of 3.

In rule of 3 problems, you need to first identify the measures and whether they are direct or inverse to each other.

If they are direct to each other, if one value increases the other will increase too. For example, lets suppose that the Buffalo Bills have won 3 of 4 games. When there are 8 games, then will have won 6, keeping this proportion. Here, the measures are the number of games and the number of Buffalo Bills wins.

Now if they are inverse to each other, if one value increases the other will decrease. For example, if you travel at 60 mph, you will need 6 hours to arrive at your destination. At 80 mph, you will need less time. So, a the average speed increases, the time you need will decrease.

In this case the speeds is proportional to the time. So, if the time increases, the speed will increase too. It can be calculated by the following rule of 3.

   Speed               Time

 100 mph - 0.8 seconds

 x mph      -  1 second

x = 100/0.8 = 125 mph.

4 0
3 years ago
Is the solution of b x 5/6 = 25 greater than or less than 25
azamat

Answer:

Greater. (30)

Step-by-step explanation:

Simplest way to find out is divide.

Flip 5/6 and multiply.

25 x 6 = 150

150 / 5 = 30

8 0
3 years ago
The store is selling lemons at 2 for $1.50. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough
Andrei [34K]

Answer:

$4.50

Step-by-step explanation:

3/4 cups = 12 tablespoons

$1.50 yields 4 tablespoons

12 / 4 = 3 purchases at $1.50 = $4.50

8 0
3 years ago
Solve the quadratic equation using the quadratic formula.<br><br><br><br> 6x²- 9x + 2 = 0
DENIUS [597]

Answer:

x = 9 + √ 33 /12 ,  9 − √ 33  12

or

x = 1.22871355 … ,  0.27128644 …

Step-by-step explanation:

3 0
3 years ago
karen is planning to drive 3105 miles on a road if she drive 345 miles a day how many days will it take to complete this trip
Maurinko [17]

Answer:

9 days!

Step-by-step explanation:

Take the number of miles shes planning on driving (3105) and divide it by the number of miles a day (345) and you would get 9

3105 ÷ 345 = 9

4 0
3 years ago
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