We can see the sequence goes by decreasing 9 on each number
so the numbers are
2, -7, -16, -25, -34, -43, -52, -61, -70
so adding all these numbers we get
2-7-16-25-34-43-52-61-70
= -306
hope this helped
Answer: the x-intercept is (-10,0), the y-intercept is (0,45/2)
Explanation:
First, we need to determine the function describing the line.
From the table, it is obvious that the y values increase by 9 every increase of 4 of the x values. So, the slope is 9/4 and the function looks like this:
![y = m x+ b = \frac{9}{4}x + b](https://tex.z-dn.net/?f=y%20%3D%20m%20x%2B%20b%20%3D%20%5Cfrac%7B9%7D%7B4%7Dx%20%2B%20b)
with the y-intercept (or bias) b still unknown. This can be determined by using one of the point from the table, like so:
![-18 = \frac{9}{4}\cdot 2+b\\\implies b = -18 -\frac{9}{2}=\frac{45}{2}\\y = \frac{9}{4}x+\frac{45}{2}](https://tex.z-dn.net/?f=-18%20%3D%20%5Cfrac%7B9%7D%7B4%7D%5Ccdot%202%2Bb%5C%5C%5Cimplies%20b%20%3D%20-18%20-%5Cfrac%7B9%7D%7B2%7D%3D%5Cfrac%7B45%7D%7B2%7D%5C%5Cy%20%3D%20%5Cfrac%7B9%7D%7B4%7Dx%2B%5Cfrac%7B45%7D%7B2%7D)
The above function form makes it easy to read off the y-intercept, which is (0,45/2) or (0,22.5). The x-intercept is obtained by setting y = 0 and solving for x:
![y = \frac{9}{4}x+\frac{45}{2}\\0 = \frac{9}{4}x+\frac{45}{2}\\-\frac{45}{2}=\frac{9}{4}x\\x = -10](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B9%7D%7B4%7Dx%2B%5Cfrac%7B45%7D%7B2%7D%5C%5C0%20%3D%20%5Cfrac%7B9%7D%7B4%7Dx%2B%5Cfrac%7B45%7D%7B2%7D%5C%5C-%5Cfrac%7B45%7D%7B2%7D%3D%5Cfrac%7B9%7D%7B4%7Dx%5C%5Cx%20%3D%20-10)
The x-intercept is (-10,0)
Answer:
The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.
Step-by-step explanation:
The profits in the business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order.
That is:
3 : 2 : 5
The profit for the year was $176,500.
To find the number of dollars that each partner, we have to first find the total ratio and then divide each of the ratios by the total ratio and multiply by the profit.
The total ratio is:
3 + 2 + 5 = 10
The first partner will receive 3/10 of the profits:
= $52950
The second partner will receive 2/10 of the profits:
= $35300
The third partner will receive 5/10 of the profits:
= $88250
The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.
Answer:
2
Step-by-step explanation:i have no clue