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3 years ago

21x + 7 In distributive property

Mathematics

1 answer:

lilavasa [31]3 years ago

8 0

Answer: 7(3x + 1)

Step-by-step explanation:7 goes into 21 3 times so the 3 is left in the parenthesis along with the one because 7 goes into 7 once

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Consider the function below. f(x) = ln(x4 + 27) (a) Find the interval of increase. (Enter your answer using interval notation.)

andrezito [222]

Answer:

a) The function is constantly increasing and is never decreasing

b) There is no local maximum or local minimum.

Step-by-step explanation:

To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.

f(x) = ln(x^4 + 27)

f'(x) = 1/(x^2 + 27)

Now we take the derivative and solve for zero to find the local max and mins.

f'(x) = 1/(x^2 + 27)

0 = 1/(x^2 + 27)

Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.

6 0

3 years ago

Chelsea and her friends are making small fruit baskets for their neighbors. They have 90 pears, 45 peaches, and 75 apples. What

iVinArrow [24]

Answer:

15 baskets

Step-by-step explanation:

This question is a GCF question

The first step would be to find the factors of 45, 75 and 90

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 75 are: 1, 3, 5, 15, 25, 75

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The greatest common factor is 15.

Therefore, the greatest number of baskets they can make if each basket has the same number of pears, the same number of peaches, and same number of apples, with no fruit leftover is 15 baskets

3 0

3 years ago

hello i really need help with this problem ive been stuck on it for 20 minutes so far i am willing to give 20 points if someone

Rasek [7]

Answer:

-9/20 with the given information i believe this is the answer

5 0

3 years ago

In the 1970s, due to world events, there was a gasoline shortage in the United States. There were often long lines of cars waiti

Wittaler [7]

Answer:

A line of cars will be about 9650000 feet

Step-by-step explanation:

Simple:

$9.65*1,000,000=9650000$

Hope this Helps!

Stay Safe!

6 0

4 years ago

The internal dimension of a cylindrical container has a base area of 20 cm^2 and a height of 10 cm. What is the internal volume

yawa3891 [41]

Answer:

C) 200 cm^3

Step-by-step explanation:

we observe that

Area=20 cm² and Height=10 cm

The formula to find volume is :

Volume= Area×Height

putting the values of area and height in above formula,we get

Volume= 20 cm²×10 cm

Volume= 200 cm³

The internal volume of the container is 200 cm³.

hope this helps

5 0

3 years ago