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3 years ago

How to simplify (n+2)!/n! I will mark brainliest and give a thanks!

Mathematics

1 answer:

Anastaziya [24]3 years ago

3 0

$\dfrac{(n+2)!}{n!}=\dfrac{(n+2)(n+1)n!}{n!}=(n+2)(n+1)=n^2+3n+2$

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3(7x+2)+6x plz answer

Natalija [7]

Answer:

27x +6

Step-by-step explanation:

3(7x+2)+6x

Distribute

21x+6 +6x

Combine like terms

27x +6

4 0

4 years ago

Read 2 more answers

Write and solve a system of equations made up of Aiden's and Natalie's lines of best fit that they can use

dezoksy [38]

The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Given the equations:

Aiden: y = 2.3x + 160.7

Natalie: y = 3.6x + 202.6

For their tennis balls to cover the same distance:

2.3x + 160.7 = 3.6x + 202.6

1.3x = -41.9

x = -32.3

The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.

Find out more on linear equation at: brainly.com/question/14323743

7 0

3 years ago

Please solve the following sum or difference identity.

xxTIMURxx [149]

Answer:

$sin(A - B) = \frac{4}{5}$

Step-by-step explanation:

Given:

$sin(A) = \frac{24}{25}$

$sin(B) = -\frac{4}{5}$

Need:

$sin(A - B)$

First, let's look at the identities:

sum: $sin(A + B) = sinAcosB + cosAsinB$

difference: $sin(A - B) = sinAcosB - cosAsinB$

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = $\frac{24}{25}$

cos(A) = $\frac{7}{25}$

sin(B) = $-\frac{4}{5}$

cos(B) = $\frac{3}{5}$

Plug these values into the difference identity formula.

$sin(A - B) = sinAcosB - cosAsinB$

$sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})$

Multiply.

$sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})$

Add.

$sin(A - B) = \frac{4}{5}$

This is your answer.

Hope this helps!

6 0

3 years ago

Read 2 more answers

A phone company offers two monthly plans. Plan A costs $17 plus an additional $0.09 for each minute of calls. Plan B costs $22 p

Varvara68 [4.7K]

Answer: $53

Step-by-step explanation:

17+ .09m = 9 + .11m

8 = .02m

m = 8/.02= 400 minutes for the two plans to cost the same

9+.11(400) = 9+ 44 = $53 when they cost the same

17+.09(400) = 17 +36 = $53

Please mark brainliest if it helped :)

8 0

3 years ago

Ron is selling items at a craft show. The first hour his sales are $20. His sales grow by 10% each hour. What are Ron's total sa

olga nikolaevna [1]

C. $122.10

20 first hour
20+0.1*20 = 22 second hour
22+0.1*22 = 24.2 third hour
24.2+0.1*24.2 = 26.62 fourth hour
26.62+0.1*26.62 = 29.282 fifth hour
Total=$122.10

5 0

4 years ago