Answer:
The answer to your question is 35x - 35y + 21
Step-by-step explanation:
Data
Simplify 0.5(20x - 50y + 36) - 0.25(-100x + 40y - 12)
Expand
10x - 25y + 18 + 25x - 10y + 3
Group like terms
(10x + 25x) + (-25y - 10y) + (18 + 3)
Result
35x - 35y + 21
The answer is the last choice
A function and it's inverse function, when graphed, will be symmetrical across the line y=x.
Without seeing your graphs, I can't tell you if it's g or h. Look for the function which mirrors 'f' across y=x, which is a diagonal line passing through the origin (0,0) of the graph.
The numbers given in the previous answer cannot right be because the mode would be 130 and 110, and the problem specifiies that the mode is 110.
This is how you can obtaind the numbers, step by step:
1) If the median is 130, there are 3 numbers less than 130 and 3 number over 130.
2) One of the numbers below 130 is 100 (the minimum reported), then the other two has to be 110 because 110 is the mode.
Now we have these numbers for sure 100, 110, 110 and 130 and 300.
3) We need to find only two more numbers, which are greater than 130 y less than 300.
4) Given the the mean is 150, the sum of all the numbers is 150*7 = 1050.
and the two so far unknown numbers add up : 1050 - 300 - 130 - 110 - 110 - 100 = 300.
5) The two numbers have to be different and greater than 130, then they are 140 and 160.
They cannot be 150 because they would be equal, they cannot be 170 and 130, because 130 is not the mode.
So you can be sure that the other two numbers are 140 and 160 and now we have the list of the seven numbers complete:
Answer: 100, 110, 110, 130, 140, 160 and 300
Answer:
Step-by-step explanation:
As per the question statement, a₁ is -6.25 and common ratio (r) is 1.25.
Therefore, the six terms of finite sequence would be as per the following equation
. Thus, the series would be
- a1 = -6.25
- a2 = -6.25*r = -6.25*(1.25) = -7.8125
- a3 = -6.25*r^2 = -6.25*(1.25)^2 = -9.765625
- a4 = -6.25*r^3 = -6.25*(1.25)^3 = -12.20703125
- a5 = -6.25*r^4 = -6.25*(1.25)^4 = -15.2587890625
- a6 = -6.25*r^5 = -6.25*(1.25)^5 = -19.073486328125
So the points on the graph will be on following points,
(1, -6.25), (2, -7.8125), (3, -9.765625), (4, -12.20703125), (5, -15.2587890625), (6, -19.073486328125).
The graph would look like as attached.
3000, because you would round down 136 as it is not 500 or higher