For problems like this, we need to find the pattern between the set of numbers to create a general equation for f(x). Given that x is the shipment number, let us first observe the first six shipments' behavior.
1 10 |
2 16 = 10 + 1(6) |
3 22 = 10 + 2(6) |
4 28 = 10 + 3(6)|
5 34 = 10 + 4(6) |
6 40 = 10 + 5(6) |
From these, we can observe that given x number of shipments, the total number of objects would be

. Thus, given f(x), we have
Answer: f(x) = 6x + 4
You would just do 4 x 7, which means there are 28 combinations.
First you can solve for b: Subtract a on both sides and get 2b=-a+10, then divide by 2 to get b by itself and get: b=-1/2a+5
Then you can plug in this equation for b in the other: This would give you: 2a+-1/2a+5=6. Then you can use that equation to solve for a and get: 1.5a+5=6, subtract 5, 1.5a=1, divide by 1.5, a=1/1.5
Then you can plug in the value of a to solve for b.
Multiply the numerators together and the denominators to get the ending fraction.
Ex: 3/4 x 3/4 = 9/16, and simplify if needed.
Answer:
-42, -21, -14, -7, -6, -3, -2, -1, 1, 2, 3, 6, 7, 14, 21, & 42
Step-by-step explanation: