Step-by-step explanation:
First
since its follow the pattern Intercept Max... Intercept Min...
Its a positive sine graph
Asin(B(x-0))<0.25
A=1
B=2π/period
period From the graph = 2π
B=2π/2π
B=1
Sin(x)<0.25
I'd go with C.
This would be True. For example. If your number is 24, and 'n' is 12 ( a factor of 24 )
your factors of 12 (12, 6, 4, 3, 2, 1) are also included in the factors of 24 (which are 24, 12, 6, 4, 3, 2, 1)
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.
<span> x = 5/6 = 0.833.................</span>
Step-by-step explanation:
simplify the expression into like terms
so 5a-2b-3+2b-6a (add all a and b together)
this will make
-a-3
I know how to do the equivalent sorry :(