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.
I think it’s 700, but I’m not positive
Answer:
19.6
Step-by-step explanation:
21+3=24
24-7.20=16.8
4+2=6
6-8.80=-2.8
19.6
A) From the given graph, we can see that the point where graph functions p(x) and f(x) intersect is seen to be;
x = 1, y = 5.0125
B) The possible solutions of the given equation will be; x = 3.11 or -3.11
C) The solution to p(x) = g(x) is; x = 0 and y = 0
<h3>How to find the solution to simultaneous equations graphically?</h3>
When we are trying to solve two simultaneous equations, there are three methods we can use namely;
1) Elimination Method
2) Substitution Method
3) Graphical Method
Now, we see that we are to use the graphical method from the given graph.
Now, the solution to the given pair of equation will be the coordinates of the points where both graphs intersect.
A) From the given graph, we can see that the point where graph functions p(x) and f(x) intersect is seen to be;
x = 1, y = 5.0125
B) The possible solutions of the given equation will be the point where f(x) = 0 which is where the line crosses the x-axis and so we have;
x = 3.11 or -3.11
C) The solution to p(x) = g(x) is the coordinate;
x = 0 and y = 0
Read more about Simultaneous Equations Solutions at; brainly.com/question/16863577
#SPJ1
(t + 12) ^ 2
(t + 12) (t + 12)
t ^ 2 + 12t + 12t + 144 144 24
t ^ 2 + 24t + 144 -------|--------
(t + 12) (t + 12) = 0 12,12 | 24
t = -12