The rule of a geometric sequence:
We have:
Find 
substitute:
630 red marbles
420 yellow marbles
210 purple marbles
because 1260 x 1/2 = 630, 1260 x 1/3 = 420, 1260 x 1/6 = 210
If you add the whole number to the whole number part of the mixed number, and then add the fraction from the mixed number on to the end of that, you get a new mixed number which is your answer.
Answer: The graph is shifted 6 units to the right.
Step-by-step explanation:
It is important to remember that:
When 
, then the function is shifted "k" units to the right.
Knowing this and given the quadratic parent function 
and the function 
, you can observe that one of the transformations is the following:
Where:
Therefore, you can notice that the effect is:
The graph is shifted 6 units to the right.
Answer:
One solution
Step-by-step explanation:
They have isolated y for you in both equations so you can plug either one into the other.
y = 3x - 1
2x + 7 = 3x - 1
isolate the x
7 = x - 1
x = 8
Go back to the original and plug 8 into x to get y.
y = 2 (8) + 7
y = 16 + 7
y = 23
This means at (8, 23) y = 2x+7 is equal to y = 3x-1. In other words they share a point at (8, 23). This is the only solution because for any other x and y they'd not be equal.
