Answer:
Step-by-step explanation:
39 cars every 3 hrs.......that means (39/3) = 13 cars every hr
and if its 13 cars every hr....in 7 hrs, there will be (7 * 13) = 91 cars <==
you can either do it that way....the unit rate way...OR
you can set it up as a proportion...
39 cars to 3 hrs = x cars to 7 hrs...
39 / 3 = x / 7....cross multiply
(3)(x)= (39)(7)
3x = 273
x = 273/3
x = 91 <====
either way, u get the correct answer
11x - 3 = x - 13
-x -x
10x - 3 = -13
+13 +13
10x = 10
---- -----
10 10
x = 1
Answer:
see below
Step-by-step explanation:
-33, -27, -21, -15,....
-33 +6 = -27
-27+6 = -21
-21+6 = -15
This is an arithmetic sequence
The common difference is +6
explicit formula
an=a1+(n-1)d where n is the term number and d is the common difference
an = -33 + ( n-1) 6
an = -33 +6n -6
an = -39+6n
recursive formula
an+1 = an +6
10th term
n =10
a10 = -39+6*10
= -39+60
=21
sum formula
see image
The sum will diverge since we are adding infinite numbers
So to factor
factor out a x+z
(x+z)(x^2-xz+z^2)
the factors are
x+z and x^2-xz+z^2