Answer:
lesser x = -4
greater x = 1
Step-by-step explanation:
here's the solution :-
=》
![{x}^{2} + 3x - 4 = 0](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20-%204%20%3D%200)
=》
![{x}^{2} + 4x - x - 4](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20-%20x%20-%204)
=》
![x(x + 4) - 1(x + 4)](https://tex.z-dn.net/?f=x%28x%20%2B%204%29%20-%201%28x%20%2B%204%29)
=》
![(x + 4)(x - 1)](https://tex.z-dn.net/?f=%28x%20%2B%204%29%28x%20-%201%29)
now, there are two cases
case 1) where x + 4 = 0
=》x = -4
case 2) where x - 1 = 0
=》x = 1
Answer:
B
Step-by-step explanation:
The total is $87.2 you have to first change the percentage to a decimal so 0.09x80=87.2
Answer: V = ![\frac{64}{3}\pi](https://tex.z-dn.net/?f=%5Cfrac%7B64%7D%7B3%7D%5Cpi)
Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:
V =
Δx
Using the <u>Disc</u> <u>Method</u>, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:
V = ![\int\limits^a_b {\pi. y^{2} } \, dx](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20%7B%5Cpi.%20y%5E%7B2%7D%20%7D%20%5C%2C%20dx)
Then, for the region generated by y = - x + 4:
V = ![\int\limits^4_0 {\pi.(-x+4)^{2} } \, dx](https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_0%20%7B%5Cpi.%28-x%2B4%29%5E%7B2%7D%20%7D%20%5C%2C%20dx)
V = ![\pi.\int\limits^4_0 {(x^{2}-8x+16)} \, dx](https://tex.z-dn.net/?f=%5Cpi.%5Cint%5Climits%5E4_0%20%7B%28x%5E%7B2%7D-8x%2B16%29%7D%20%5C%2C%20dx)
V = ![\pi.(\frac{x^{3}}{3}-4x^{2}+16x )](https://tex.z-dn.net/?f=%5Cpi.%28%5Cfrac%7Bx%5E%7B3%7D%7D%7B3%7D-4x%5E%7B2%7D%2B16x%20%29)
V = ![\pi.(\frac{4^{3}}{3}-4.4^{2}+16.4 - 0 )](https://tex.z-dn.net/?f=%5Cpi.%28%5Cfrac%7B4%5E%7B3%7D%7D%7B3%7D-4.4%5E%7B2%7D%2B16.4%20-%200%20%29)
V = ![\frac{64}{3}.\pi](https://tex.z-dn.net/?f=%5Cfrac%7B64%7D%7B3%7D.%5Cpi)
The volume of the revolved region is V =