Use photo math it will help
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
![f(x)=\frac{9x^{2}-36}{3x+6}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B9x%5E%7B2%7D-36%7D%7B3x%2B6%7D)
Remember that the denominator cannot be equal to zero
so
The value of x cannot be equal to x=-2
<em>Simplify the numerator</em>
----> by difference of squares
substitute
![f(x)=\frac{(3x+6)(3x-6)}{3x+6}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B%283x%2B6%29%283x-6%29%7D%7B3x%2B6%7D)
simplify
![f(x)=3x-6](https://tex.z-dn.net/?f=f%28x%29%3D3x-6)
The domain is all real numbers except the value of x=-2
The y-intercept is the point (0,-6) ---> value of y when the value of x is equal to zero)
The x-intercept is the point (2,0) ---> value of x when the value of y is equal to zero)
therefore
The graph in the attached figure
Answer:
Answer: <u> </u><u> </u><u>3</u><u> </u><u>+</u><u> </u><u>1</u><u>0</u><u>i</u><u> </u>
Step-by-step explanation:
![= { \rm{(8 + 7i) - (5 - 3i)}} \\ \\ = { \rm{(8 - 5) + (7 + 3)i}} \\ \\ { = \rm{3 + 10i}}](https://tex.z-dn.net/?f=%20%3D%20%7B%20%5Crm%7B%288%20%2B%207i%29%20-%20%285%20-%203i%29%7D%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B%20%5Crm%7B%288%20-%205%29%20%2B%20%287%20%2B%203%29i%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%3D%20%20%5Crm%7B3%20%2B%2010i%7D%7D)
Answer:
y - 6 = -7(x + 8)
Step-by-step explanation:
Slope: m = (y2-y1)/(x2-x1) = (6 - -1)/(-8 - -7) = (6 + 1)/(-8 + 7) = 7/-1 = -7
Point-slope form: y - 6 = -7(x - -8)
=> y - 6 = -7(x + 8)