Start with

Expand both parentheses by multiplying both terms by the number outside:

Sum like terms:

Simplify the "+3" on both sides:

Subtract 2x from both sides:

Divide both sides by 2:

The domain of the function is the set of all the values of x that would allow the function to have real values. Since the radicand is x - 3, the value of x cannot be less than 3 because that would make the value of sqrt (x - 3) an imaginary number. Thus, the domain should be all numbers GREATER than or equal to 3.
Answer:
Step-by-step explanation:
It may not tell you anything. You have to be careful how you think about the answer to this. An ordered pair is just that: it describes an x and y value and that is really all that it does.
However it may also be used to describe the solution to a system of equations which cross in one place. For example, if you plot
y = x + 1
y = -3x + 2
The ordered pair that gives the point where both equations equal the same thing is (0.25,1.25) The graph is shown below, and the ordered pair marks the solution.
After graphing the set of inequalities and looking for the overlapping of the shading, the only ordered pair that falls within this shaded area is ( -2, 2)
Answer:

Step-by-step explanation:

Use the distributive property for 2(x + 1).

Subtract 2x from 5x.

Bring 2 to the right hand side of the equation .

Add 1/4 & 2.
![3x = \frac{1}{4} + \frac{8}{4} \: \: [LCM = 4]\\3x = \frac{9}{4}](https://tex.z-dn.net/?f=3x%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%2B%20%5Cfrac%7B8%7D%7B4%7D%20%5C%3A%20%5C%3A%20%5BLCM%20%3D%204%5D%5C%5C3x%20%3D%20%5Cfrac%7B9%7D%7B4%7D)
Now, bring 3 to the right hand side of the equation .
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