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2 years ago

Find the rate of change

Mathematics

2 answers:

Andreas93 [3]2 years ago

8 0

Answer:

the rate of change is 16. 2÷32 = 16

4÷32 is 16 etc

madam [21]2 years ago

4 0

Answer:

1X = 16Y every time the X value goes up by one it increase by 16.

Step-by-step explanation:

If you do 32/2 you will get the answer 16 and if you do 4/64 it also says 16.

The difference between (2,32) and (4,64) 64-32 is 32 4-2 is 2 and you also get 32,2 from that equation.

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How much, in total, did Noel spend to cash her three most recent paychecks?

astra-53 [7]

The total amount of money that was spent by Noel to cash her three (3) most recent paychecks is equal to $10.99.

<h3>What is a paycheck?</h3>

A paycheck can be defined as a financial document that is issued by an employer to an employee as payment for the work done over a period of time.

<h3>How to calculate the amount spent.</h3>

From the table, we can see that the amount of money charged by the bank as check processing fee is equal to $1.99, as well as 1.99% (0.0199) of the amount being cashed by a customer.

Thus, we would compute the amount of money spent by Noel as follows:

Noel = (0.0199 × 100.53) + (0.0199 × 119.38) + (0.0199 × 122.52) + (1.39 × 3)

Noel = 2.00 + 2.38 + 2.44 + 4.17

Noel = $10.99.

Read more on paycheck here: brainly.com/question/26174938

7 0

2 years ago

Solve the Anti derivative.

Alex Ar [27]

Answer:

$\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C$

General Formulas and Concepts:

<u>Algebra I</u>

Factoring

<u>Calculus</u>

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Trig Integration: $\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C$

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx$ <u />

<u />

<u>Step 2: Integrate Pt. 1</u>

[Integral] Factor fraction denominator: $\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx$
[Integral] Integration Property - Multiplied Constant: $\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx$

<u>Step 3: Identify Variables</u>

<em>Set up u-substitution for the arctan trig integration.</em>

$\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx$

<u>Step 4: Integrate Pt. 2</u>

[Integral] Substitute u-du: $\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du$
[Integral] Trig Integration: $\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C$
[Integral] Simplify: $\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C$
[integral] Multiply: $\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C$
[Integral] Back-Substitute: $\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C$

Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

7 0

2 years ago

What are the x and y intercepts of 3y=2x-6

sasho [114]

How to find the x intercept of 3y=2x-6: (when y is 0)

3(0) = 2x - 6

   0 = 2x - 6
+6 + 6
-------------------------
6 = 2x
  ------ -----
2    2

x = 3

How to find the y intercept of 3y=2x-6: (when x is 0)

3y = 2(0) - 6

y = 0 - 6

3y = -6
------ -----
3 3

y = -2

8 0

3 years ago

Which statement describes the relationship between x and y?

stich3 [128]

Answer:

as x increases, y increases

Step-by-step explanation:

3 0

3 years ago

Alisha asked 120 students what kind of pet they liked the most. Exactly 45% of the students said they liked dogs best. What was

7nadin3 [17]

Answer: 54 liked best

Step-by-step explanation: None

8 0

2 years ago

Read 2 more answers