Mike bought 7 new baseball cards to add to his collection. The next day his dog ate half of his collection. There are now only 41 cards left. How many cards did Mike start with?

Mike started with 75 cards

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The number of cards mike started with (x) plus the new cards added (7) must be divided by 2 (since his dog ate half of his collection).

That expression must be equal to the number of cards left (41)

Mathematically speaking:

(x + 7) /2 = 41

Solving for x:

x+7 = 41x2

x+7 = 82

x = 82-7

x = 75 cards

Feel free to ask for more if needed or if you did not understand something.  

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph