Answer:
![y=\frac{3}{2} x-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%20x-2)
Step-by-step explanation:
To find your slope using two points, use the slope formula.
![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Your y1 term is -5, your y2 term is 4.
Your x1 term is -2, your x2 term is 4.
![\frac{4-(-5)}{4-(-2)} \\\\\frac{9}{6} \\\\\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4-%28-5%29%7D%7B4-%28-2%29%7D%20%5C%5C%5C%5C%5Cfrac%7B9%7D%7B6%7D%20%5C%5C%5C%5C%5Cfrac%7B3%7D%7B2%7D)
Now that we have your slope, you can use the slope and one of your points in point-slope form to find your y-intercept.
![y-y1=m(x-x1)\\y-4=\frac{3}{2} (x-4)\\y-4=\frac{3}{2} x-6\\y=\frac{3}{2} x-2](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29%5C%5Cy-4%3D%5Cfrac%7B3%7D%7B2%7D%20%28x-4%29%5C%5Cy-4%3D%5Cfrac%7B3%7D%7B2%7D%20x-6%5C%5Cy%3D%5Cfrac%7B3%7D%7B2%7D%20x-2)
Round 5.2 down to 5 and Round 6.7 to 7.
5+7=12
By the chain rule,
![g(x)=f(x^2)\implies g'(x)=2xf'(x^2)](https://tex.z-dn.net/?f=g%28x%29%3Df%28x%5E2%29%5Cimplies%20g%27%28x%29%3D2xf%27%28x%5E2%29)
so
![g'(2)=2\times2\times f'(2^2)=4f'(4)](https://tex.z-dn.net/?f=g%27%282%29%3D2%5Ctimes2%5Ctimes%20f%27%282%5E2%29%3D4f%27%284%29)
You were able to find
![h'(2)=f'(f(2))\times f'(2)](https://tex.z-dn.net/?f=h%27%282%29%3Df%27%28f%282%29%29%5Ctimes%20f%27%282%29)
, which requires knowing both
![f(2)](https://tex.z-dn.net/?f=f%282%29)
and
![f'(2)](https://tex.z-dn.net/?f=f%27%282%29)
. Do you also happen to know
![f(4)](https://tex.z-dn.net/?f=f%284%29)
and
![f'(4)](https://tex.z-dn.net/?f=f%27%284%29)
?
The answer is 3
Nsbdjd didjdjjc idjdndno is Bebe
Hello!
The range is the difference between the largest and smallest numbers in a data set.
98-78=20
The range is 20.
I hope this helps!