10P8 = 10!/(10 - 8)! = 10!/2! = 1,814,400
Step-by-step explanation:
3
hope it helps u.......
Answer:
D
Step-by-step explanation:
According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.
<em>So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.</em>
<em />
<em>For A:</em>
![x^5 + 2x^2 - 30x + 30\\=(-6)^5 + 2(-6)^2 - 30(-6) + 30\\=-7494](https://tex.z-dn.net/?f=x%5E5%20%2B%202x%5E2%20-%2030x%20%2B%2030%5C%5C%3D%28-6%29%5E5%20%2B%202%28-6%29%5E2%20-%2030%28-6%29%20%2B%2030%5C%5C%3D-7494)
For B:
![x^4 + 4x^3 - 21x^2 - 53x + 12\\=(-6)^4 + 4(-6)^3 - 21(-6)^2 - 53(-6) + 12\\=6](https://tex.z-dn.net/?f=x%5E4%20%2B%204x%5E3%20-%2021x%5E2%20-%2053x%20%2B%2012%5C%5C%3D%28-6%29%5E4%20%2B%204%28-6%29%5E3%20-%2021%28-6%29%5E2%20-%2053%28-6%29%20%2B%2012%5C%5C%3D6)
For C:
![x^3 - 10x^2 - 7\\=(-6)^3 - 10(-6)^2 - 7\\=-583](https://tex.z-dn.net/?f=x%5E3%20-%2010x%5E2%20-%207%5C%5C%3D%28-6%29%5E3%20-%2010%28-6%29%5E2%20-%207%5C%5C%3D-583)
For D:
![x^4 + 6x^3 - 10x - 63\\=(-6)^4 + 6(-6)^3 - 10(-6) - 63\\=-3](https://tex.z-dn.net/?f=x%5E4%20%2B%206x%5E3%20-%2010x%20-%2063%5C%5C%3D%28-6%29%5E4%20%2B%206%28-6%29%5E3%20-%2010%28-6%29%20-%2063%5C%5C%3D-3)
The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.
Answer:
-1/5
Step-by-step explanation:
let's put the function in slope intercept form (y = mx + b).
x + 5y = 10
y = - (1/5)x + 2
when the function is in slope intercept form, (m) is the rate of change or the slope.
therefore, the rate of change -1/5
Answer:
a = 2/3
Step-by-step explanation:
(4(x+1) + 20 )/(x+1) = 16
4x + 4 + 20 = 16x + 16
12x = 8
x = 2/3