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3 years ago

Solve the following equation for p 15p + 5p = 60

Mathematics

1 answer:

frutty [35]3 years ago

5 0

Answer:

I want to say letter c. p=3

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Hope uses the equation C = 3h + 9 to find the total cost c in dollars or renting a bike for h hours if hope does not spend more

Nina [5.8K]

7 hours
explanation:
30>or equal to 3h+9
subtract non on both sides:
21>or =to 3h
divide by 3:
7>or=to h

5 0

3 years ago

4y-5x=9 in slope intercept form

Sedbober [7]

Answer:

m, slope = 5/4

Step-by-step explanation:

formula : y=m x+b

4y-5x=9

4y = 9+5x

y= (9+5x)/4

y = 5x/4 + 9/4

y= 5x/4 +2.25

m, slope = 5/4

7 0

3 years ago

Read 2 more answers

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:

Algebra I

Factoring

Calculus

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:

Step 1: Define

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

Step 2: Integrate Pt. 1

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

Step 3: Identify Variables

Set up u-substitution for the arctan trig integration.

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

Step 4: Integrate Pt. 2

[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

3 years ago

Which graph shows the system of equations 4x+y=3 and 2x-3y=3?

dmitriy555 [2]

The 2nd one is the right one.!

5 0

3 years ago

What is the ratio of blue shapes to all shapes in the set below

Reika [66]

What you can do is count all the shapes the put the number of blue with that into a fraction. Lets say that there are 24 shapes and 15 are blue the fraction would be 15/25

Hope this helped. If you post a pic I can help you more.

5 0

4 years ago

Read 2 more answers