Answer:
<h3>#1</h3>
<u>The system of equations:</u>
- 2x + 7y = -11
- 3x + 5y = -22
Solve by elimination.
<u>Triple the first equation, double the second one, subtract the second from the first and solve for y:</u>
- 3(2x + 7y) - 2(3x + 5y) = 3(-11) - 2(-22)
- 6x + 21y - 6x - 10y = -33 + 44
- 11y = 11
- y = 1
<u>Find x:</u>
- 2x + 7*1 = -11
- 2x = -11 - 7
- 2x = -18
- x = -9
<u>The solution is:</u>
<h3>#2</h3>
<u>Simplifying in steps:</u>
- 8u - 29 > -3(3 - 4u)
- 8u - 29 > - 9 + 12u
- 12u - 8u < -29 + 9
- 4u < -20
- u < -5
The x component goes from 1 to 7 ( 6 to the right) and y component goes down 2 ( = -2) so the answer is the second choice. (6, -2)
1.) It would be: 12/600 * 100 = 12/6 = 2
So, your final answer is 2
2.) It would be: 20 * 0.15 = 3
So, your final answer is 3
Hope this helps!
Mode, is very easy to understand.
You have a list of numbers; 1,2,3,4,5,5,4,5
You have the question, "What is the Mode for this list of numbers?"
First off, what is Mode?
Mode is the value (number) that appears most often in a set of data. That being said, go back to the list given above.
1,2,3,4,5,5,4,5
The numbers that appear most often is 4 and 5.
4 appears 2 times
5 appears 3 times
But, remember, Mode is the value that appears most OFTEN;
Thus, the Mode for this example is 5.