Answer:
Step-by-step explanation:
a1 = 8
a9 = 56
Using formula for finding nth term of arithmeric sequence
We have to find 24th term, therefore n = 24
is the first term but we are missing d
d is the difference between the two consecutive terms, lets calculate it first
a9 = 56
Using the above given formula for finding d
put n = 9, a9= 56
56 = 8 + 8d
8d = 48
d = 6
Getting back to main part of finding 24th term
n = 24, d = 6, a1 = 8
put values in nth term formula
1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
x = 0 →f(x) =2 (intercept y-axis)
x = -2→f(x) = 0 (intercept x-axis)
x = -3→f(x) = 1 (don't forget this is in absolute numbers)
x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph
1b) Translation: x to shift (-3) units and y remains the same, then
f(x-3) = I x - 3 + 2 I = I x-1 I
the V graph will shift one unit to the right, keeping the same y. Proof:
f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1
Number 2 is $4 not $.40 and 3 is 10% OFF not added to. Those are all I had time to check but 1 is right
Answer:
8.1 gallons of gas
Step-by-step explanation:
240/9=216/x
simplify 240/9 into 80/3,
80/3=216/x
cross product
3*216=80*x
648=80x
x=648/80
x=8.1
Answer:
50.24
Step-by-step explanation:
diameter is 8 inches
radius is 4
formula:
area = pi times radius squared
area = pi times 4 squared
area = pi times (4 times 4)
area = 3.14 times 16
area = 50.24
