Answer:
x < -4 or x > 7.
Step-by-step explanation:
We first determine the critical points by solving x^2 - 3x - 28 = 0:
x^2 - 3x - 28 = 0
(x - 7)(x + 4) = 0
x = 7, - 4
so the critical points are -4 and 7.
Create a Table (pos = positive and neg = negative):
Value of x< - 4 -4 < x < 7 x > 7
---------------------|----------- |--------------------- |---------------------
x + 4 NEG POS POS
x - 7 NEG NEG POS
(x + 4)(x - 7) POS NEG POS
So the function is positive (>0) for x < -4 or x > 7.
You can also do this by drawing the graph of the function.
<h2><em>If you put and label the three points in a line, you will see that RS + ST = RT.
</em></h2><h2><em>
</em></h2><h2><em>Then you only need to substitue with the expressions given for RS and ST to find RT.
</em></h2><h2><em>
</em></h2><h2><em>RT = x +1 + 2x - 2 = 3x - 1
</em></h2><h2><em>
</em></h2><h2><em>Also, RT = 5x - 5
</em></h2><h2><em>
</em></h2><h2><em>Then, 3x - 1 = 5x - 5
</em></h2><h2><em>
</em></h2><h2><em>5x - 3x = 5 - 1
</em></h2><h2><em>
</em></h2><h2><em>2x = 4
</em></h2><h2><em>
</em></h2><h2><em>x = 4/2 = 2
</em></h2><h2><em>
</em></h2><h2><u><em>X=2</em></u></h2>
I believe that it would come out to become true
Answer:
There are 12 students in each group
Step-by-step explanation:
87-39= 48
48/4= 12
Hope this helped. ;)
