Answer:
Step-by-step explanation:
7x + 8y + 5z
I put the equations in parentheses, assuming that I would be adding both of the equations together. Then, I removed them and combined the like terms. I used two calculators to check my answer, and this should be correct.
1. The x-intercepts are x = 0 and x = 6. You can find these by looking for where the line crosses the x-axis. You can see here that it does so at 0 and 6.
2. The maximum value for this function is looking for the f(x) value at the highest point. In this case, you will see that f(x) at the highest point is 120. This happens at x = 3. Once again, this can be found just by looking for the highest point on the graph.
3. Since that is the absolute highest point, it is also the point where is goes from increasing to decreasing. As a result, we know the increasing interval is x<120 and the decreasing interval is x > 120.
4. Finally, the average rate of change between 3 and 5 is -30. You can find this by determining the amount of change in f(x) and dividing it by the amount of change in x. The basic formula is below.
-30
Answer:
a) The arithmetic sequence with common difference 2 that has 8 as the first term.
b) The arithmetic sequence of common difference -5 and first term 15.
Step-by-step explanation:
Let's use for example the arithmetic sequence with common difference 2 that has 8 as the first term. Then the first two terms of this sequence are:
8, and (8+2) = 10 Therefore the second term is 10.
Another arithmetic sequence of common difference -5 and first term 15. The firs two terms of this sequence are:
15, and (15 - 5) = 10. Therefore again a 10 as second term.
Answer:
She still has to cut 1 3 /16
Step-by-step explanation:
Olivia wants to cut 3 3/4 inches from a piece of string. Converting 3 3/4 to improper fraction, it becomes 15/4 inches.
She already cut off 2 9/16 inches converting to improper fractions it becomes 41/16 inches.
15/4 - 41/16 = (60-41)/16 = 19/16 inches
19/16 = 1.187 ~ 1
19 - (16 x 1) =3
Since the odd numbers are:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25
There are 13 odd numbers. From here you would multiply 25 times four to get 100 since there is 25 numbers. Then you would multiply 13, the number of odd numbers, by 4 as well and get 52. There is a 52% chance that a odd number will be picked.
