Answer:
plz ion know what is the awnser to mine
Step-by-step explanation:
Answer:
oh
Step-by-step explanation:
Answer:
4 + 2g
General Formulas and Concepts:
<u>Pre-Algebra</u>
Distributive Property
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
2(2 + g)
<u>Step 2: Expand</u>
- Distribute 2: 2(2) + 2(g)
- Multiply: 4 + 2g
The fixed amount is a price you pay before using equipment. So, it is the price you pay at the 0-th day: 25$.
Then, after one you pay 15 more dollars (25+15=40), and after another day you pay 15 extra dollars again (40+15=55).
So, we can see that the pattern is that you start from $25 (fixed price), and then you pay $15 per day (renting price per day)
Answer: 
<u>Step-by-step explanation:</u>
(a) First, find the x-coordinates where the two equations cross
y = -1 and y = 3 - x²
-1 = 3 - x²
-4 = -x²
4 = x²
± 2 = x → These are the upper and lower limits of your integral
Then subtract the two equations and integrate with upper bound of x = 2 and lower bound of x = -2
<u />
![\int_{-2}^{+2}[(3-x^2)-(-1)]dx\\\\\\=\int_{-2}^2(4-x^2)dx\\\\\\=4x-\dfrac{x^3}{3}\bigg|_{-2}^{+2}\\\\\\=\bigg(8-\dfrac{8}{3}\bigg)-\bigg(-8+\dfrac{8}{3}\bigg)\\\\\\=\large\boxed{\dfrac{32}{3}}](https://tex.z-dn.net/?f=%5Cint_%7B-2%7D%5E%7B%2B2%7D%5B%283-x%5E2%29-%28-1%29%5Ddx%5C%5C%5C%5C%5C%5C%3D%5Cint_%7B-2%7D%5E2%284-x%5E2%29dx%5C%5C%5C%5C%5C%5C%3D4x-%5Cdfrac%7Bx%5E3%7D%7B3%7D%5Cbigg%7C_%7B-2%7D%5E%7B%2B2%7D%5C%5C%5C%5C%5C%5C%3D%5Cbigg%288-%5Cdfrac%7B8%7D%7B3%7D%5Cbigg%29-%5Cbigg%28-8%2B%5Cdfrac%7B8%7D%7B3%7D%5Cbigg%29%5C%5C%5C%5C%5C%5C%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B32%7D%7B3%7D%7D)
(b) We know the upper and lower bounds of the y-axis as y = 3 and y = -1
Next, find the equation that we need to integrate by solving for x.
y = 3 - x²
x² + y = 3
x² = 3 - y
x 

Now, subtract the two equations and integrate with upper bound of y = 3 and lower bound of y = -1
![\int_{-1}^{+3}[(\sqrt{3-y})-(-\sqrt{3-y})]dy\\\\\\=\int_{-1}^{+3}(2\sqrt{3-y})dy\\\\\\=\dfrac{-4\sqrt{(3-y)^3}}{3}\bigg|_{-1}^{+3}\\\\\\=\bigg(0\bigg)-\bigg(-\dfrac{32}{3}\bigg)\\\\\\=\large\boxed{\dfrac{32}{3}}](https://tex.z-dn.net/?f=%5Cint_%7B-1%7D%5E%7B%2B3%7D%5B%28%5Csqrt%7B3-y%7D%29-%28-%5Csqrt%7B3-y%7D%29%5Ddy%5C%5C%5C%5C%5C%5C%3D%5Cint_%7B-1%7D%5E%7B%2B3%7D%282%5Csqrt%7B3-y%7D%29dy%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-4%5Csqrt%7B%283-y%29%5E3%7D%7D%7B3%7D%5Cbigg%7C_%7B-1%7D%5E%7B%2B3%7D%5C%5C%5C%5C%5C%5C%3D%5Cbigg%280%5Cbigg%29-%5Cbigg%28-%5Cdfrac%7B32%7D%7B3%7D%5Cbigg%29%5C%5C%5C%5C%5C%5C%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B32%7D%7B3%7D%7D)