Answer:
(f • g)(3) = 100, the distance in miles the bus traveled
Step-by-step explanation:
The product of (miles/hour) and (hours) is (miles), so only answers with units of distance are applicable. The numbers are ...
f(3) = 2·3² +2 = 20 . . . . miles per hour
g(3) = 3+2 = 5 . . . . hours
so (f·g)(3) = f(3)·g(3) = 20·5 = 100 . . . . miles
This means only the first answer choice is applicable.
Answer: 40
=====================================
Explanation:
The angle we want is QPR (bottom left), which is one of the base angles. The other base angle is QRP (bottom right). These two angles are equal because PQR is an isosceles triangle (PQ = RQ)
So if we can find angle QRP, then we have found angle QPR
Note how angle QRP and the 140 degree angle combine to form a straight 180 degree angle. Therefore these two angles add to 180 degrees
(angle QRP) + (140) = 180
(angle QRP) + 140 - 140 = 180-140 ... subtract 140 from both sides
angle QRP = 40
Since,
angle QPR = angle QRP
this means
angle QPR = 40
and
b = 40
common difference = 2nd term - 1st term
= 13 - 4
= 9
