Answer:
$40 per week
Step-by-step explanation:
Step one:
Given data
the initial amount is = $100
the total amount= $500
let the number of weeks be x
Step two:
The expression for the scenario is

From the expression above, the rate of the change is $40 per week.
this means that in every week the account will be increased by $40
Answer:
?=38
average rate of change =3 (on the way they partitioned the x's)
Step-by-step explanation:
This is a line because it has the same rise/run (
) per pair of points.
That is, the following are equal:



The slope (also called the rate of change) is 3.
This means the calculating of the last pair of points should have the same rise/run.
That is we should have:


Multiply both sides by 4:

Add 26 on both sides:


Therefore the answer is the first one
X=8
The reason is because the red figure is just a dilation of the yellow figure.
6-2=4
4+4=8
So the answer is 8
9514 1404 393
Answer:
(c) (6x^4 – 4)(36x^8 + 24x^4 + 16)
Step-by-step explanation:
The correct factoring can be found by looking at the first exponent in the second set of parentheses.
The factorization of ...
(a^3 -b^3)
is ...
(a -b)(a^2 +ab +b^2)
__
Here, you have a=6x^4 and b=4, so the first term in the second parentheses is ...
a^2 = (6x^4)^2 = 6^2·x^(4·2) = 36x^8 . . . . matches the 3rd choice