Answers:
The first and third options should be selected.
- The ordered pair (10,5) is a solution to the first equation because it makes the first equation true.
- The ordered pair (10,5) is not a solution to the system because it makes at least one of the equations false.
Explanation:
In order for a point to be a solution to a system of equations, it must make both equations true when its x and y values are substituted in. That being said, we need to test if (10,5) is a solution for the two equations.
Let's try the first equation. Substitute 10 for x and 5 for y and solve:
![2x - 5y = -5\\2(10) - 5(5) = -5\\20 - 25 = -5\\-5 = -5](https://tex.z-dn.net/?f=2x%20-%205y%20%3D%20-5%5C%5C2%2810%29%20-%205%285%29%20%3D%20-5%5C%5C20%20-%2025%20%3D%20-5%5C%5C-5%20%3D%20-5)
-5 does equal -5, so (10,5) is a solution to the first equation.
Next, let's test the second equation. Do the same:
![x + 2y = 11\\(10) + 2 (5) = 11\\10 + 10 = 11\\20 = 11](https://tex.z-dn.net/?f=x%20%2B%202y%20%3D%2011%5C%5C%2810%29%20%2B%202%20%285%29%20%3D%2011%5C%5C10%20%2B%2010%20%3D%2011%5C%5C20%20%3D%2011)
However, 20 does not equal 11, therefore (10,5) is not a solution to the second equation.
So far, we know that (10,5) is a solution to the first equation, but not the second equation. Knowing this, it cannot be a solution to the system because it does not make both equations true. Therefore, only the first and third options should be selected.
Answer:
10% is equivalent to the unit fraction 23
To find 10% of 230, multiply 230 by 0.10
10% of 230 is 23
Think about it, if 100% of 230 is 230, and 10% is 23, you can multiply 23 x 100 to get 230. I took a while to answer, but I hope my explanation helps.
Answer:
A) Reflect the graph of the first function across the x-axis, translate it pi/4 units to the left, and translate it 2 units up
Step-by-step explanation:
We are given
parent function as
![y=tan(x+\frac{\pi}{4})-1](https://tex.z-dn.net/?f=y%3Dtan%28x%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%29-1)
and new function as
![y=-tan(x+\frac{\pi}{2})+1](https://tex.z-dn.net/?f=y%3D-tan%28x%2B%5Cfrac%7B%5Cpi%7D%7B2%7D%29%2B1)
We can also write as new function as
![y=-tan(x+\frac{\pi}{4}+\frac{\pi}{4})+1+1-1](https://tex.z-dn.net/?f=y%3D-tan%28x%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%29%2B1%2B1-1)
![y=-tan(x+\frac{\pi}{4}+\frac{\pi}{4})-1+2](https://tex.z-dn.net/?f=y%3D-tan%28x%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%29-1%2B2)
We can see that
x-value is added by pi/4
So, it is shifted left side pi/4
and y-value is added by 2 units
so, it moves 2 units upward
we can see that
y-value is multiplied by -1
so, it reflected about x-axis
so,
A) Reflect the graph of the first function across the x-axis, translate it pi/4 units to the left, and translate it 2 units up
Answer:
Step-by-step explanation:
This could be an observational study because an experiment was not carried out by the research to further verify this hypothesis. Individuals are observed and data is collected from such observation. No effort is made by the researcher to affect the outcome of such results.
This study alone is not enough to conclude about a cause and effect relationship between steroids and the increase in home runs as thus study is not randomized and cant control other factors or links bringing about this result.
B. I believe I just wanna get some points