Answer:
First option: (Substitute)
2x+3 (x+1.5) = 12
Answer:
Answer is 
Step-by-step explanation:
To find the interval of x. Use our equations to equal each other.
Integrate.
![\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3} =4/3](https://tex.z-dn.net/?f=%5Cfrac%7B-x%5E3%7D%7B3%7D%2Bx%5E2%5C%5C%28%5Cfrac%7B-2%5E3%7D%7B3%7D%2B2%5E2%29-%5B%5Cfrac%7B-0%5E3%7D%7B3%7D%2B0%5E2%5D%5C%5C-%5Cfrac%7B8%7D%7B3%7D%20%2B4-0%5C%5C-%5Cfrac%7B8%7D%7B3%7D%2B%5Cfrac%7B12%7D%7B3%7D%20%20%3D4%2F3)
Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.
Proof Check your interval of x.
Answer:
The answer to your question is 236 ft²
Step-by-step explanation:
Data
height = 5 ft
width = 6 ft
length = 8 ft
Area = ?
Process
I will consider that the crate is a rectangular prism which has 6 sides
1.- Find the area of the sides that measure 8 x 6
Area = 2 (8 x 6)
= 2(48)
= 96 ft²
2.- Find the area of the sides that measure 8 x 5
Area = 2(8 x 5)
Area = 2(40)
Area = 80 ft²
3.- Find the area of the sides that measure 6 x 5
Area = 2( 6 x 5)
Area = 2(30)
Area = 60
4.- Find the total area
Area = 96 + 80 + 60
Area = 236 ft²
5.- Conclusion
She needs 236 ft² of paint
Answer:
25 percent.
Step-by-step explanation:
15 is 1/4 of 60 and if she gets 1/4 off then that's equal to 25 percent
We first find value of tax in dollars.
The difference between the two prices is: 23. 54 - 22 = 1.54
Therefore the sales tax in dollars is 1.54
The tax % will be (amount of tax / original cost price ) × 100
(1.54 / 22) × 100 → (0.07) × 100 = 7
So the tax rate is 7%
We can double check the answer.
7 % of 22 → (7/100) × 22 → 0.07 × 22 = 1.54
22 + 1.54 = 23.54
