I think B should be the answer
Answer:
![u_n=4.2(0.85)^{n-1}](https://tex.z-dn.net/?f=u_n%3D4.2%280.85%29%5E%7Bn-1%7D)
Step-by-step explanation:
![u_1=4.2\\u_2=3.57\\u_3=3.0345\\u_4=2.5793](https://tex.z-dn.net/?f=u_1%3D4.2%5C%5Cu_2%3D3.57%5C%5Cu_3%3D3.0345%5C%5Cu_4%3D2.5793)
Geometric formula sequence: ![u_n=ar^{(n-1)}](https://tex.z-dn.net/?f=u_n%3Dar%5E%7B%28n-1%29%7D)
(where
is the first term of the sequence and
is the common ratio)
To find the common ratio, divide one of the terms by the previous term:
![r=\frac{u_2}{u_1} =\frac{3.57}{4.2} =0.85](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bu_2%7D%7Bu_1%7D%20%3D%5Cfrac%7B3.57%7D%7B4.2%7D%20%3D0.85)
From inspection, ![a=4.2](https://tex.z-dn.net/?f=a%3D4.2)
Therefore, ![u_n=4.2(0.85)^{n-1}](https://tex.z-dn.net/?f=u_n%3D4.2%280.85%29%5E%7Bn-1%7D)
Answer:
1/4 upperclassmen are not involved in enrichment.
Step-by-step explanation:
"3/4 of the upperclassmen (sophomores thru seniors) are involved in an enrichment." That leaves 1/4 upperclassmen students left. Verification: 3/4 + 1/4 = 4/4. 4/4 is also 1 whole.
Answer:
(x+7) is not a factor
Step-by-step explanation:
we know that
If (x+7) is a factor of f(x)
then
For ![x=-7, f(-7)=0](https://tex.z-dn.net/?f=x%3D-7%2C%20f%28-7%29%3D0)
Verify
we have
![f(x)=x^{3}-3x^{2} +2x-8](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B3%7D-3x%5E%7B2%7D%20%2B2x-8)
Substitute x=-7
![f(-7)=(-7)^{3}-3(-7)^{2} +2(-7)-8](https://tex.z-dn.net/?f=f%28-7%29%3D%28-7%29%5E%7B3%7D-3%28-7%29%5E%7B2%7D%20%2B2%28-7%29-8)
![f(-7)=-343-147 -14-8](https://tex.z-dn.net/?f=f%28-7%29%3D-343-147%20-14-8)
![f(-7)=--512](https://tex.z-dn.net/?f=f%28-7%29%3D--512)
![-512\neq 0](https://tex.z-dn.net/?f=-512%5Cneq%200)
therefore
(x+7) is not a factor
Answer: -2,3,&4
Step-by-step explanation:
Correct on edgenuity