Answer:
20%
Step-by-step explanation:
Well if there's 5 answers for the question, and he answered two questions. That means the two questions together have 10 answers.
He chose one answer for each question, that is 2/10 or 1/5 or 20%
Ok so domain is all allowed numbers
look at deonomenator and don't allow any numbers that will make it zero
none
that means
domain=all real numbers
vertex
in form
y=a(x-h)^2+k
(h,k)=vertex
we have
y=-2(x+3)^2-1
h=-3
k=-1
vertex=(-3,-1)
range
the vertex opens down so max is y=-1
y≤-1
domain is all real
vertex is (-3,-1)
y≤-1
C
Step-by-step explanation:
(x−1)²−9=0
(x-1)²= 9
x-1 = ±√9
x-1 = ±3
x = 1-3=-2 or x=1+3=4
the solution = {-2,4}
Answer:
(a) 74553
(b) 172120
(c) 234802
Step-by-step explanation:
Given
![y = \frac{340110}{1 + 377e^{-0.259t}}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B340110%7D%7B1%20%2B%20377e%5E%7B-0.259t%7D%7D)
Solving (a): 1998
Year 1998 means that:
![t =1998 - 1980](https://tex.z-dn.net/?f=t%20%3D1998%20-%20%201980)
![t =18](https://tex.z-dn.net/?f=t%20%3D18)
So, we have:
![y = \frac{340110}{1 + 377e^{-0.259*18}}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B340110%7D%7B1%20%2B%20377e%5E%7B-0.259%2A18%7D%7D)
![y = \frac{340110}{1 + 377e^{-4.662}}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B340110%7D%7B1%20%2B%20377e%5E%7B-4.662%7D%7D)
![y = \frac{340110}{1 + 3.562}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B340110%7D%7B1%20%2B%203.562%7D)
![y = \frac{340110}{4.562}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B340110%7D%7B4.562%7D)
--- approximated
Solving (b): 2003
Year 2003 means that:
![t = 2003 - 1980](https://tex.z-dn.net/?f=t%20%3D%202003%20-%20%201980)
![t =23](https://tex.z-dn.net/?f=t%20%3D23)
So, we have:
![y = \frac{340110}{1 + 377e^{-0.259*23}}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B340110%7D%7B1%20%2B%20377e%5E%7B-0.259%2A23%7D%7D)
![y = \frac{340110}{1 + 377e^{-5.957}}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B340110%7D%7B1%20%2B%20377e%5E%7B-5.957%7D%7D)
![y = \frac{340110}{1 + 0.976}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B340110%7D%7B1%20%2B%200.976%7D)
![y = \frac{340110}{1.976}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B340110%7D%7B1.976%7D)
--- approximated
Solving (c): 2006
Year 2006 means that:
![t = 2006 - 1980](https://tex.z-dn.net/?f=t%20%3D%202006%20-%20%201980)
![t =26](https://tex.z-dn.net/?f=t%20%3D26)
So, we have:
![y = \frac{340110}{1 + 377e^{-0.259*26}}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B340110%7D%7B1%20%2B%20377e%5E%7B-0.259%2A26%7D%7D)
![y = \frac{340110}{1 + 377e^{-6.734}}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B340110%7D%7B1%20%2B%20377e%5E%7B-6.734%7D%7D)
![y = \frac{340110}{1 + 0.4485}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B340110%7D%7B1%20%2B%200.4485%7D)
![y = \frac{340110}{1.4485}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B340110%7D%7B1.4485%7D)
--- approximated