1.The cost of manufacturing clocks is given by C(x)=46+ 34x-x2. Also, it is known that in t hours the number of clocks that can be produced is given by x=7t, whereExpress C as a function of t.
Question 1 options:
2. A function that models the population (in thousands) of children under the age of 18 in a certain town, t years after 2010 is C(t)=0.0020t
2-0.163t+15.82. A function that models the population (in thousands) of adults aged 18 or over of the same town, t years after 2010 is A(t)=0.0033t^2-0.217t+25.08Find the equation of a function that models the estimated population of the town t years after 2010. Question 4 options:
a) | P(t)=0.0033t2+0.0020t+40.52 | |
b) | P(t)=0.0053t2-0.054t+40.9 | |
c) | P(t)=0.0053t2-0.38t+9.26 | |
d) | P(t)=0.0053t2-0.38t+40.9 | |
3.
Determine if the function is a growth exponential or a decay exponential. y=60.8x
4. Find (g f)(-8) when f(x) = -3x - 7 and g(x) = -5x
2- 6x - 2.
5.
Let f(x)=e3x. Find f(0.47), rounded to four decimal places.
6. Evaluate. If f(x)=x-6and g(x)=x+3, evaluate (f+g)(3). Question 10 options:
6.
Determine if the function f defined by the set of ordered pairs has an inverse. If so, find the inverse. {(6,-7), (11,-6), (9,-5), (7,-4)} Question 14 options:
a) | {(7,6), (6,11), (-5,9), (-4,7)} | |
|
c) | {(-7,6), (-6,11), (-5,9), (-4,7)} | |
d) | {(6,-7), (11,-6), (9,-5), (7,-4)} | |