It does show a function because it passes the vertical line test (no two points have the same x value).
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.
Answer:
B. C. and E.
Step-by-step explanation:
Answer:
√20 units.
Step-by-step explanation:
Please see attached photo for diagram.
The other leg of the triangle is x as shown in the attached photo.
Using the pythagoras theory, we can obtain the the value of x as follow:
x² = 4² + 2²
x² = 16 + 4
x² = 20
Take the square root of both side.
x = √20 units
Therefore, the value of the other leg x of the triangle is √20 units
Four rivers offers a better deal because It costs Jane much less interest as opposed to Mystic bank.
