The function f(x) = 2x2 + 1 represents the rate of a bicycle traveling in miles per hour. the function g(x) = x + 1 represents the time the bicyclist traveled in hours. solve (f • g)(2), and interpret the answer.
a (f • g)(2) = 12, the number of bicycles
b (f • g)(2) = 12, the distance in miles the bicycle traveled
c (f • g)(2) = 27, the number of bicycles
d (f • g)(2) = 27, the distance in miles the bicycle traveled

d (f • g)(2) = 27, the distance in miles the bicycle traveled

step-by-step explanation:

given:

rate of a bicycle, f(x) = 2x2 + 1

time the bicyclist traveled, g(x) = x + 1

finding (f • g)(2)

= (2x2 + 1)(x + 1)

= 2x^3+2x^2+x+1

putting value of 2 in above expression:

=2(2)^3 + 2(2)^2 +2 +1

=2(8) +2(4) + 3

= 16+8+3

=27

also we know, distance= speed x time

hence d (f • g)(2) = 27, the distance in miles the bicycle traveled is correct answer!

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).