Answer:
Answer B
Step-by-step explanation:
x = 0
fx =2*3
f(0)=2
f(1) =6 (1,6)
Answer is Graph B
<em><u>Hope this helps.</u></em>
Answer:
![log_372 = 3.8928](https://tex.z-dn.net/?f=log_372%20%3D%203.8928)
Step-by-step explanation:
Given
![log_38 = 1.8928](https://tex.z-dn.net/?f=log_38%20%3D%201.8928)
Required
Evaluate ![log_372](https://tex.z-dn.net/?f=log_372)
We have:
![log_372 = log_3(8 *9)](https://tex.z-dn.net/?f=log_372%20%3D%20log_3%288%20%2A9%29)
Apply law of logarithm
![log_372 = log_38 +log_39](https://tex.z-dn.net/?f=log_372%20%3D%20log_38%20%2Blog_39)
Express 9 as 3^2
![log_372 = log_38 +log_33^2](https://tex.z-dn.net/?f=log_372%20%3D%20log_38%20%2Blog_33%5E2)
Evaluate the exponents
![log_372 = log_38 +2log_33](https://tex.z-dn.net/?f=log_372%20%3D%20log_38%20%2B2log_33)
.
So:
![log_372 = log_38 + 2 * 1](https://tex.z-dn.net/?f=log_372%20%3D%20log_38%20%2B%202%20%2A%201)
![log_372 = log_38 + 2](https://tex.z-dn.net/?f=log_372%20%3D%20log_38%20%2B%202)
Substitute ![log_38 = 1.8928](https://tex.z-dn.net/?f=log_38%20%3D%201.8928)
![log_372 = 1.8928 + 2](https://tex.z-dn.net/?f=log_372%20%3D%201.8928%20%2B%202)
![log_372 = 3.8928](https://tex.z-dn.net/?f=log_372%20%3D%203.8928)
The points for C is (12, 10.5)
Answer: a) An = An-1 + An-2
b) 55ways
Step-by-step explanation:
a) a nickel is 5 cents and a dime is 10cent so a multiple of 5 cents is the possible way to pay the tolls in both choices.
Let An represents the number of possible ways the driver can pay a toll of 5n cents, so that
An = 5n cents
Case 1: Using a nickel for payment which is 5 cents, the number of ways given as;
An-1 = 5( n-1)
Case 2: using a dime which is two 5 cents, the number of ways is given as;
An-2 = 5(n-2)
Summing up the number of ways, we have
An = An-1 + An-2
From the relation,
If n= 0, Ao= 1
n =1, A1= 1
b) 45 cents paid in multiples of 5cents will give us 9 ways(A9)
From the relation, we have that
Ao = 1
A1 = 1
An =An-1 + An-2
Ao = 1
A1 = 1
A2 = A1+Ao = 1+1= 2
A3 = A2 + A1 = 3
A4 = A3+A2=5
A5=A4+A3=8
A6=A5+A4=13
A7 =A6+A5 = 21
A8= A7+A6= 34
A9= A8+A7= 55
So there are 55ways to pay 45cents.