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4 years ago

Find the average rate of change for the function over the given interval.

Mathematics

1 answer:

wariber [46]4 years ago

6 0

Answer:

132

Step-by-step explanation:

The average rate of change over a function can be given by: f(b)-f(a)/b-a. Where b is the second part of the interval and a is the first part.

y = 6x^3-6x^2-8

____

x = 2

6(2)^3-6(2)^2-8

6(8)-6(4)-8

48-24-8

24-8

____

x = 4

6(4)^3-6(4)^2-8

384-96-8

288-8

280

_____

280-16/4-2 = 264/2 = 132

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Answer these questions Please show work

Yuliya22 [10]

Answer:

1. m= -2 1/3

2. m=35 (35 divided by -5 is -7 and -7+1 = -6)

3. m=-4 (2 times -4 is -8, 4+-8 equals -4)

Step-by-step explanation:

3 0

3 years ago

What is 56 divided by 3 1/2

Anton [14]

Answer:

Step-by-step explanation:

First you will need to change both of the numbers into improper fractions:

56/1 ÷ 7/2

Then do keep change flip. What that means is keep the first fraction the same, change the division symbol into a multiplication symbol, and flip the second fraction:

56/1 x 2/7

Then just multiply the two numerators by each other and the two denominators by each other:

56 x 2 = 112

7 x 1 = 7

112/7 would be the answer.

4 0

3 years ago

In a flock of geese there are 7 female geese for every 4 male geese. There are 21 female geese. What is the total number of gees

weeeeeb [17]

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

Hello!

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

❖ 33 geese

7/4 x 21 = 12

21 + 12 = 33

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

6 0

3 years ago

Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two

kari74 [83]

Answer:

The answer is "4.8, 3.84, and 1.96".

Step-by-step explanation:

Given:

$\to p = 0.2\\\\\to q = 1 - p = 1 - 0.2 = 0.8\\\\\to n = 24\\\\$

By using the binomial distribution:

$\to Mean(\mu) = n \times p = 24 \times 0.2 = 4.8\\\\\to variance (\sigma^2) = n \times p \times q = 24 \times 0.2 \times 0.8 = 3.84\\\\\to Standard \ deviation (\sigma) = \sqrt{n \times p \times q} = \sqrt{24 \times 0.2 \times 0.8} = 1.96$

7 0

3 years ago

I have no clue.. HELP

hram777 [196]

Imagine you covered the outer part of the wheel with paint. Then you rolled the wheel one complete revolution. The paint on the wheel would transfer to the flat ground making a straight line. The length of this straight line is exactly equal to the distance around the circle (aka circumference)

Let's find the circumference

C = 2*pi*r
C = 2*pi*14
C = 28pi

The distance around the circle is exactly 28pi inches.
If we use pi = 3.14, which is an approximation of pi, then that approximates to 28*pi = 28*3.14 = 87.92

So one revolution corresponds to traveling 87.92 inches approximately

We want to travel 440 inches. The question is: how many revolutions do we need to go in order to achieve this goal?

Let k = number of revolutions needed to travel 440 inches

1 revolution = 87.92 inches traveled
k revolutions = k*87.92 inches traveled

Set the expressions k*87.92 and 440 equal to each other and solve

k*87.92 = 440
k*87.92/87.92 = 440/87.92
k = 5.0045495 ... this is approximate

So it takes about 5 revolutions to travel 440 inches. We'll need a bit over 5 to make sure we get to 440.

Final Answer: Choice B) 5 rotations

3 0

3 years ago