Answer:
y=5/7 x=31/7
Step-by-step explanation:
Make the x values the opposite of each other:
-2(x+5y=8)
-2x-10y=-16
2x+3y=9
Combine like terms and solve for y:
-7y=-5
y=5/7
Plug y in to find x.
x+5(5/7)=8
x+25/7=8
56/7-25/7=x
x=31/7
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Answer: Choice 2. ![a \ge -3 \ \text{ and } \ a \le 3](https://tex.z-dn.net/?f=a%20%5Cge%20-3%20%5C%20%5Ctext%7B%20and%20%7D%20%5C%20a%20%5Cle%203)
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Explanation:
The rule is that if
for some positive number k, then it can be written as the compound inequality
. This is a shorthand way of writing the two inequalities
combined together.
note:
is the same as ![a \ge -k](https://tex.z-dn.net/?f=a%20%5Cge%20-k)
From here, we replace k with 3
Therefore,
turns into
which breaks down further to ![a \ge -3 \ \text{ and } \ a \le 3](https://tex.z-dn.net/?f=a%20%5Cge%20-3%20%5C%20%5Ctext%7B%20and%20%7D%20%5C%20a%20%5Cle%203)
The keyword "and" is important as we can't pick one or the other. We must pick both
and also ![a \le 3](https://tex.z-dn.net/?f=a%20%5Cle%203)
Answer:
200
Step-by-step explanation:
Mode is the highest frequency of <em>1</em> number. In this case, 200 shows up the most. Therefore, your answer is C.
Answer:
![\boxed{-\frac{6}{\pi}}](https://tex.z-dn.net/?f=%5Cboxed%7B-%5Cfrac%7B6%7D%7B%5Cpi%7D%7D)
Step-by-step explanation:
The average rate of change over a interval is the slope m of the straight line joining the two points.
![m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }\\\\= \frac{-1 - 5}{ \pi - 0}\\\\= -\frac{ 6}{\pi }](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%20y_%7B2%7D%20-%20y_%7B1%7D%20%7D%7B%20x_%7B2%7D%20-%20x_%7B1%7D%20%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-1%20-%205%7D%7B%20%5Cpi%20-%200%7D%5C%5C%5C%5C%3D%20-%5Cfrac%7B%206%7D%7B%5Cpi%20%7D)
The average rate of change is ![\boxed{-\frac{6}{\pi}}.](https://tex.z-dn.net/?f=%5Cboxed%7B-%5Cfrac%7B6%7D%7B%5Cpi%7D%7D.)
4x +1 so I got it like this 5x +3-x-2