Answer:
x = 4
Explanation:
Given the expression;
![\sqrt[]{x}-4\text{ = -2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7Bx%7D-4%5Ctext%7B%20%3D%20-2%7D)
Add 4 to both sides
![\begin{gathered} \sqrt[]{x}-4+4\text{ = -2+4} \\ \sqrt[]{x}=\text{ 2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csqrt%5B%5D%7Bx%7D-4%2B4%5Ctext%7B%20%3D%20-2%2B4%7D%20%5C%5C%20%5Csqrt%5B%5D%7Bx%7D%3D%5Ctext%7B%202%7D%20%5Cend%7Bgathered%7D)
Square both sides
![\begin{gathered} (\sqrt[]{x})^2=2^2 \\ x\text{ = 4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28%5Csqrt%5B%5D%7Bx%7D%29%5E2%3D2%5E2%20%5C%5C%20x%5Ctext%7B%20%3D%204%7D%20%5Cend%7Bgathered%7D)
Hence the value of x is 4
Answer:
Step-by-step explanation:
y intercept is 3
y - 4 = 3 ( x - 4)
y - 4 = 3x - 12
y < 3x - 8
not equal to because the line is dashed.
not greater than because the shading is below the line
A discontinuity is a point that cannot exist because the x-coordinate would cause a problem in the equation. If you have a polynomial in the denominator, you must find which values of x would cause the polynomial in the denominator to evaluate to zero. Since division by zero is undefined, that would cause a discontinuity.
Let's look at your function.


is in the numerator. It is defined for every value of x. There is no problem there.

is in the denominator. This is a function defined for every value of x, but since it is in the denominator, we must exclude the x-value that would cause this polynomial to evaluate to zero.
We set it equal to zero and solve the equation for x.



For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).
The answer is:
Answer:
Slope is m= -1
Step-by-step explanation:
Use the slope formula to find the slope m
.
y=mx+b