Answer:
x = -3
In-Depth Steps:
1.) Start with the bottom equation: 
2.) Set 
alone on one side of the equal sign. Your equation will look like 
.
3.) Plug 
in for in the first equation. You will get 
.
4.) Distribute. Your equation now looks like this: 
.
5.) Combine like terms. You will get 
.
6.) Subtract 6 from both sides. You get 
. We can learn that Y=0.
7.) Go back to either equation and put 0 in for y.
8.) In the top equation, it would look like 
and the bottom equation would look like 
. We basically got our answer of 
, but we will plug it into the equation, and in-fact, we get x = -3.
Answer:
12 and 1/2<u>
</u>
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let he speed of the boat on the lake is x.
<u>Considering the speed of the current it will take him:</u>
- 22.5/(x + 6) + 22.5/(x - 6) = 9
- 2.5 / (x + 6) + 2.5 / (x - 6) = 1
- 2.5(x - 6 + x + 6) = (x + 6)(x - 6)
- 2.5*2x = x² - 36
- x² - 5x - 36 = 0
- x = (5 ± √(5² + 4*36))/2 = (5 ± 13) / 2
- x = (5 + 13)/2 = 9 mph (negative root is discarded as the speed should be positive)
Answer:
<u><em>Answer is below</em></u>
Step-by-step explanation:
<u><em> Divide both sides by 3.</em></u>
Answer:
a. Experiment
b. yes
Step-by-step explanation:
The study being conducted in this scenario is an experiment because different groups are being created and both an independant variable and dependant variable are being introduced. This means that there is researcher involvement and therefore makes this an experiment and not an observational study.
Yes, a case can be made for such a claim. This is because the music being played is the dependent variable in each of the groups. Meaning that the only difference in each of the groups was the music. Therefore, any differences in the data gathered can be connected to the music.
