Factors of 48 : 1,2,3,4,6,8,12,16,24,48....all of these numbers can be subbed in for X to arrive at a whole number....so there are 10 different ways
F(x+6) +2 up and right in a graph is positive
Answer: There are 20 ways and 1680 ways respectively.
Step-by-step explanation:
Since we have given that
Total number of blocks = 6
Number of red blocks = 3
Number of green blocks = 3
So, Number of patterns she can make by placing them all in a line is given by

If there are 3 white blocks
so, total number of white blocks becomes 9
So, Number of total pattern she can make by placing all nine blocks in a line is given by

Hence, there are 20 ways and 1680 ways respectively.
Solving the given inequality for d, we get...
6d + 15 < 50
6d + 15-15 < 50-15 <<-- subtract 15 from both sides
6d < 35
6d/6 < 35/6 <<--- divide both sides by 6
d < 5.83
Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}
The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all
The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days
Any larger value of d is not allowed as it would make the total cost go over $50
Notice how I'm rounding down regardless how close 5.83 is to 6