Answer:
b = 10
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = 
bh ( b is the base and h the height )
Here h = 3x + 15 and A = 15x + 75, thus
× b × (3x + 15) = 15x + 75
Multiply both sides by 2 to clear the fraction
b(3x + 15) = 30x + 150
Divide both sides by (3x + 15)
b = 
← factor numerator and denominator
= 
← cancel the factor (x + 5) on numerator/denominator
= 
= 10
Two functions have equal values where their graphs cross.
A) The solution to the pair of equations
.. y = p(x)
.. y = f(x)
will be where the graphs intersect, at (x, y) = (-3, -3).
B) We already know that (-3, -3) is one solution to y=f(x). The graph also appears to go through the point (0, 0).
C) p(x) = g(x) where their graphs cross, at x = -6. Both functions have the value 1 for that value of x.
