Answer:
61.71
Step-by-step explanation:
Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left. This makes all negatives positive and all positives negative. -4x + 12 = y
Then add the first equation to the second equation
4x +12 = -7y
<u>-4x + 12 </u>=<u> y </u> this eliminates the x's
<u>24</u> = -<u> 6y</u> then divide by - 6
- 6 - 6
- 4 = y<u>
</u>So if you know that y = negative 4, you can substitute into either equation. I pick the second one because I am a lazy person.
-y + 12 = 4 x
-(-4) + 12 = 4 x combine your numbers<u>
</u> <u> 16 </u> = <u>4 x </u> then divide by 4<u>
</u> 4 = x
So your solution is: x = 4 and y = -4 or this is also written (4, -4)
Does that work for you?
Answer:
![y=\frac{1}{2}x+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B4)
Step-by-step explanation:
The equation of a linear function in a slope-intercept form is written as
![y=mx+q](https://tex.z-dn.net/?f=y%3Dmx%2Bq)
where
m is the slope of the line
q is the y-intercept
We proceed as follows. First of all, we find the y-intercept, which is the value of y at which the line touches the y-axis.
From the graph, we see that this occurs at y = 4, therefore the y-intercept is
![q=4](https://tex.z-dn.net/?f=q%3D4)
Now we have to find the slope. We do that by choosing two points along the line, with coordinates
and
and by using the equation
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Here we take the two points:
(0,4)
(-8,0)
So the slope is
![m=\frac{4-0}{0-(-8)}=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4-0%7D%7B0-%28-8%29%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore, the equation of the line is
![y=\frac{1}{2}x+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B4)
Answer:
I hope it will help you!
Step-by-step explanation:
Answer:
-57
Step-by-step explanation:
13,8,3,-2 (decreasing by 5)
13,8,3,-2,-7,-12,-17,-22,-27,-32,-37,-42,-47,-52,-57.
The 15th term is -57.
<u><em>Ace</em></u>