1-) isolate the radical symbol on one side of the equation
2-) square both sides of the equation to eliminate the radical symbol
Answer:
We can not see all the graphs, so i will just do a graph of the system of inequalities, and you can select the option that matches it.
We have the system:
y ≥ 2x + 1
(to represent this, we need to have a solid line y = 2x + 1, and shade all the region above this)
y ≤ 2x - 2
(to represent this, we need to have a solid line y = 2x - 2, and shade all the region below this)
The graph of this system is shown below:
Answer:
x is less than -3
Step-by-step explanation:
3x^2+9x<0
x^2+3x<0
x(x+3)<0
x+3<0
x<-3
Answer:
A
Step-by-step explanation:
In this question, we are concerned with selecting which of the options best represents the difference of two squares.
Let’s have an exposition below as follows;
Consider two numbers, which are perfect squares and can be expressed as a square of their square roots;
a^2 and b^2
where a and b represents the square roots of the numbers respectively.
Inserting a difference between the two, we have;
a^2 - b^2
Now by applying the difference of two squares, these numbers will become;
a^2 - b^2 = (a + b)(a-b)
So our answer out of the options will be that option that could be expressed as above.
The correct answer to this is option A
Kindly note that;
x^2 -9 can be expressed as x^2 - 3^2 and consequently, this can be written as;
(x-3)(x + 3)
