Answer:
See attached diagram
Step-by-step explanation:
Graph the solution of the inequality 
First, draw the dotted line 
(dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).
Graph the solution of the inequality 
First, draw the solid line 
(solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).
The intersection of both regions is the solution of the system of two inequalities.
For this case what you should know is that both functions are of the potential type.
We have then that
y = 2 * 2 ^ x This function grows exponentially upwards.
y = -2 * 5 ^ x This function grows exponentially downwards.
Answer See attached graphics.
The answer is option "3, 40".
<span>m∠cab = 2x
m∠acb = x + 30
m∠cbd = 5x − 50
Now,
</span>m∠cab + m∠acb = m∠cbd
2x+x+30 = 5x-50
2x+x-5x = -50-30
-2x = -80
x = 40
X²(x - 4) +4 (x - 4)
(x² + 4) (x - 4)
First find the common terms that can enter into both x³ and 4x² then write its down in this case it’s x² that can enter x³ leaving only x _since x³/x² = subtract of the indices. x² will also enter 4x² leaving only four hence you having x² (x - 4)
then do the same for the next pair of terms giving you 4 that can enter into both 4 and 16
Leaving you with +4 (x - 4)
Now you can put the common terms together like so (x² + 4) and choose get one of the other two which are the same= (x - 4)
= (x² + 4) (x - 4)
Consider the <em>fraction</em> first ;
<em>Hence, Option B) is </em><em>required</em><em> </em><em>answer</em>
