Answer:
The graph in the attached figure
Step-by-step explanation:
we have
![f(x)=\frac{9x^{2}+9x-18}{3x+6}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B9x%5E%7B2%7D%2B9x-18%7D%7B3x%2B6%7D)
Remember that in a quotient, the denominator cannot be equal to zero
so
The value of x cannot be equal to x=-2
Simplify the expression
Using a graphing tool
The roots of the quadratic equation in the numerator are
x=-2 and x=1
so
![9x^{2}+9x-18=9(x+2)(x-1)](https://tex.z-dn.net/?f=9x%5E%7B2%7D%2B9x-18%3D9%28x%2B2%29%28x-1%29)
Simplify the denominator
![3x+6=3(x+2)](https://tex.z-dn.net/?f=3x%2B6%3D3%28x%2B2%29)
substitute in the original expression
![f(x)=\frac{9(x+2)(x-1)}{3(x+2)}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B9%28x%2B2%29%28x-1%29%7D%7B3%28x%2B2%29%7D)
Simplify
![f(x)=3(x-1)](https://tex.z-dn.net/?f=f%28x%29%3D3%28x-1%29)
![f(x)=3x-3](https://tex.z-dn.net/?f=f%28x%29%3D3x-3)
Is the equation of a line
The y-intercept is the point (0,-3) (value of the function when x is equal to zero)
The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)
Graph the line, but remember that the value of x cannot be equal to -2
The graph in the attached figure
Answer:
Step-by-step explanation:
Carter's savings account had $1,010 it when he opened it.
Answer:
64
Step-by-step explanation:
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