Answer:
a = 8, b = 
Step-by-step explanation:
Given the exponential function
f(x) = a
To find a and b use the given coordinate points on the graph
Using (0, 8 ), then
8 = a
[
= 1 ] , then
a = 8
f(x) = 8
Using (2, 18 ) , then
18 = 8b² ( divide both sides by 8 )
= b² , that is
b² =
( take the square root of both sides )
b =
= 
Thus
f(x) = 8
Answer: .111 with a bar notation over the last 1 or 11.1%
Step-by-step explanation:
There are 12 marbles in total. There are 4 yellow marbles. Therefore there is a 4/12 probability of Randomly picking a Yellow marble the first time . Since she placed the marble back, there is a 4/12 probability of getting a yellow marble the 2nd time.
(4/12)(4/12) = 16/144 = 1/9 = .111 with a bar notation over the last 1 or 11.1% (about 11%)
Answer:
0.47 and 11.53
Step-by-step explanation:
h = 60t − 5t²
27 = 60t − 5t²
5t² − 60t + 27 = 0
Quadratic formula:
x = [ -b ± √(b² − 4ac) ] / 2a
t = [ -(-60) ± √((-60)² − 4(5)(27)) ] / 2(5)
t = (60 ± √3060) / 10
t = 0.47 or 11.53
Answer:
none of it
Step-by-step explanation:
Okay so this problem basically is saying if the value is 90000 and per every 1000 she has to pay 31$ in tax
So first divide $90,000 by $1,000 you should get 90
Now you can do 90 times $31 to find how much tax she will have to pay which equals $2,790 tax total