Answer:
Step-by-step explanation:
Given is a function as ![x^5-3x+1](https://tex.z-dn.net/?f=x%5E5-3x%2B1)
Equating to 0 we have equation
If the function f(x) has x intercepts then the solutions are real
Let us use remainder theorem and change of signs rule
f(0) = 1>0
f(-1) = -1+3+1=3
f(-2) = -32+6+1<0
This implies there is a real root between -1 and -2.
f(1) = -1
Since f(0) and f(1) have different signs, there exists a real root between 0 and 1.
f(2) = 32-6+1>0
Since f(1) and f(2) have different signs there exists a real root between 1 and 2.
Thus there are definitely three real solutions as
one between -1 and 0, one between 0 and 1, and third between 1 and 2.
This solid object contains 8 sides.
The side that is facing you has a surface area:
The side exactly opposite this one has the same surface area - 2 sides with this surface area in total.
The bottom side has a surface area:
![84f{ t }^{ 2 }](https://tex.z-dn.net/?f=84f%7B%20t%20%7D%5E%7B%202%20%7D)
The side to your right has a surface area:
![84f{ t }^{ 2 }](https://tex.z-dn.net/?f=84f%7B%20t%20%7D%5E%7B%202%20%7D)
The side to your left has a surface area:
![48f{ t }^{ 2 }](https://tex.z-dn.net/?f=48f%7B%20t%20%7D%5E%7B%202%20%7D)
The side to your top left has a surface area:
![48f{ t }^{ 2 }](https://tex.z-dn.net/?f=48f%7B%20t%20%7D%5E%7B%202%20%7D)
The side beside the side to the top left has a surface area:
![36f{ t }^{ 2 }](https://tex.z-dn.net/?f=36f%7B%20t%20%7D%5E%7B%202%20%7D)
The side at the very top has a surface area:
![36f{ t }^{ 2 }](https://tex.z-dn.net/?f=36f%7B%20t%20%7D%5E%7B%202%20%7D)
Combined, the surface area is:
![S=2\cdot 148f{ t }^{ 2 }+2\cdot 84f{ t }^{ 2 }+2\cdot 48f{ t }^{ 2 }+2\cdot 36f{ t }^{ 2 }](https://tex.z-dn.net/?f=S%3D2%5Ccdot%20148f%7B%20t%20%7D%5E%7B%202%20%7D%2B2%5Ccdot%2084f%7B%20t%20%7D%5E%7B%202%20%7D%2B2%5Ccdot%2048f%7B%20t%20%7D%5E%7B%202%20%7D%2B2%5Ccdot%2036f%7B%20t%20%7D%5E%7B%202%20%7D)
Therefore the answer is: C
We need the list of scores first before we can answer :(
The answer is:
a: 1 = 2(x^2<span> + 2</span>x<span>)
b:</span>1 = 2x^2 + 4<span>x
d:</span>3 = 2(x + 1)^2
you can tell these are your answer when you solve it.
Hope this helps!
Answer: 151 books
Step-by-step explanation: 243-65-59+32=151