I think it’s B sorry if I’m wrong
Subtract 30, then factor the equation.
... x² = 30
... x² - 30 = 0
... (x -√30)(x +√30) = 0
By the zero product rule, the solutions are values of x that make a factor be zero.
... x - √30 = 0 . . . . the first factor is zero
... x = √30
... x + √30 = 0 . . . . the second factor is zero
... x = -√30
The solutions are . . .
... x = ±√30 . . . . . matches your 3rd choice
The following solutions to the given system of inequalities shown above would be option c : (-3, -5) option d : (0, 4) option e. (4, 4) and option f. <span>(2, -1)
So how did I know the answer. To check this, you just have to substitute the values.
For example let us take option c (-3, -5)
y </span><span>< 3x + 5
-5 </span><span>< 3(-3) + 5
-5 </span><span>< -9 + 5
-5 </span><span>< -4 <<You see that -4 is greater than -5 which makes this inequality correct. This is the same process as with the other correct options.
Hope that this answer helps.</span>
To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem above:
- The<span> room has square dimensions and it has been built with two pieces of sheetrock, a smaller one and a larger one.
2. Therefore, let's call
x: the smaller one.
y: the larger one.
3. Then, you have that the lenght of the wall is the sum of the smaller one and the larger one:
x+y
4. So, the area of the room is:
(x+y)(x+y)
(x+y)</span>²
Therefore, the answer is: (x+y)²
