C because since this is a incomplete equation, finding the missing area all you have to do is divide
<span>9-1 is 8 X 5 is 40, the answer is B.</span>
Given that,
![f(x) = \sqrt{x-3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%7Bx-3%7D)
To find,
The domain of f(x).
Solution,
We have, ![f(x) = \sqrt{x-3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%7Bx-3%7D)
To find domain,
The term under the square root must be positive or null as follows :
![x-3\ge 0](https://tex.z-dn.net/?f=x-3%5Cge%200)
Adding 3 both sides
![x-3+3\ge 0+3\\\\x\ge 3](https://tex.z-dn.net/?f=x-3%2B3%5Cge%200%2B3%5C%5C%5C%5Cx%5Cge%203)
So, the domain is x-3>0
.
Answer:
y=-2x+3
Step-by-step explanation:
Slope intercept form is y = mx + b where m is the slope, b is the y-intercept, and y and x are their respective coordinates.
The questions gives us a coordinate pair and a slope so all we need to find is the y-intercept to find the equation.
Begin by plugging in what we know.
(3) = (-2)(0) + b
3 = 0 + b
3 = b
Plug in the y-intercept (b) and slope (m)
y=-2x+3
![2x + 3y = 9\\3y = -2x + 9\\y = -\frac{2}{3}x + 3](https://tex.z-dn.net/?f=2x%20%2B%203y%20%3D%209%5C%5C3y%20%3D%20-2x%20%2B%209%5C%5Cy%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx%20%2B%203)
Look at the graph picture I attached
![y = mx + c](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20c)
c is the intercept, which is why the graph crosses the y-axis at +3
to find where it crosses the x-axis, we make y = 0
![y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)](https://tex.z-dn.net/?f=y%20%3D%200%5C%5C%5Cto%20-%5Cfrac%7B2%7D%7B3%7Dx%20%2B%203%20%3D%200%5C%5C-%5Cfrac%7B2%7D%7B3%7D%20%3D%20-3%5C%5C%5Cfrac%7B2%7D%7B3%7Dx%20%3D%203%5C%5C2x%20%3D%209%5C%5Cx%20%3D%20%5Cfrac%7B9%7D%7B2%7D%5C%20%5C%20%28%3D4.5%29)