We have that
<span>f(x) =2/x
</span>and
<span>g(x)=1/(-3-x)
we know that
</span>the solutions to f(x) = g(x) is the intersection of both graphs
the <span>intersection of both graphs is the point (-2,-1)
</span>
the answer is the option
<span>
A) (-2, -1)
</span>
see the attached figure
(x + 20)/2 = 3x
x + 20 = 2(3x) = 6x
6x - x = 20
5x = 20
x = 20/5 = 4
x = 4
Answer:
Option D) B and C
Step-by-step explanation:
we know that
To find out the percentage of high school teachers that have a second job, divide the number of teachers that have a second job by the total number of teachers
<em>Survey A</em>
![\frac{28}{110}=0.2545](https://tex.z-dn.net/?f=%5Cfrac%7B28%7D%7B110%7D%3D0.2545)
Convert to percentage
![0.2545(100)=25.45\%](https://tex.z-dn.net/?f=0.2545%28100%29%3D25.45%5C%25)
<em>Survey B</em>
![\frac{27}{90}=0.3](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B90%7D%3D0.3)
Convert to percentage
![0.3(100)=30\%](https://tex.z-dn.net/?f=0.3%28100%29%3D30%5C%25)
<em>Survey C</em>
![\frac{21}{70}=0.3](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B70%7D%3D0.3)
Convert to percentage
![0.3(100)=30\%](https://tex.z-dn.net/?f=0.3%28100%29%3D30%5C%25)
<em>Survey D</em>
![\frac{32}{80}=0.4](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7B80%7D%3D0.4)
Convert to percentage
![0.4(100)=40\%](https://tex.z-dn.net/?f=0.4%28100%29%3D40%5C%25)
Compare the percentages
Surveys B and C have the same percentage
therefore
Surveys B and C show proportional results, because the ratio of the number of teachers that have a second job by the total number of teachers is equal (this number is the constant of proportionality k in a proportional relationship between two variables)
Answer:
A. This is a vertical angle set. As you can see, they are cut by the transversal and have the exact same interior angle, so it is a vertical angle.
B. Since these too are vertical angles, all you have to do is just put each expression on the sides of an equation like so:
5y-29=3y+19
Once you do this, you just need to simplify the equation by putting like terms together, and then you will find the solution for y, which is 24.
C. We know that the solution for y is 24, so we need to plug it into the equation to find, the angle, so if we do 3*24-19, we get 53, so we need to subtract that from 180 degrees, which is the total angle of the straight line, then we can get 127 degrees, which is what angles <7 and <8 are.
Step-by-step explanation: