Tutors Answer Your Questions about Functions (FREE)
Question 1037806: I would really appreciate any help on this problem:
The amount of home heating oil h in gallons in a tank t days after a fill-up is modeled by
h(t) = –0.08t^2 – 3t + 275 for 0 greater than or equal to t greater than or equal to
10.
Find and interpret the average rate of change of h over the interval [0, 10].
Thank you very much for any help!
Click here to see answer by Alan3354(69443)   |
Question 1037798: I'm having trouble figuring this out, but here's my best guess.
2. Let f(x)=|x|-3.
(a) State the zero(s) of the function. __3______
(b) Which of the following is true?
A. f is an even function.
B. f is an odd function. <-------- my answer.
C. f is both even and odd.
D. f is neither even nor odd.
Any help is very much appreciated!
Click here to see answer by Boreal(15235)  |
Question 1038304: A model rocket is launched straight upward with an initial velocity of 22m/s. The height of the rocket (h) in meteres, can be modelled by h(t)=5t^2+22t, where t is the elapsed time in seconds. What is the maximum height the rocket reaches?
Click here to see answer by Alan3354(69443) |
Question 1038498: A map is drawn to a scale of 1 : 25000
(a) The distance between two towns on the map is 15cm. Find the actual distance, in kilometers, between the two towns.
(b) A lake has an actual area of 3.5km^2. Find the area, in square centimeters, of the lake on the map.
Click here to see answer by Theo(13342)  |
Question 1038518: Could someone help me in solving this please. Thank you.
Muscle contraction. In a study of the speed of muscle contraction in frogs under various loads, noted British biophysicist and Nobel Prize winner A. W. Hill determined that the weight w (in grams) placed on the muscle and the speed of contraction v (in centimeters per second) are approximately related by an equation of the form (w+a)(v+b)=c, where a, b, and c are constants. Suppose that for a certain muscle, a = 15, b = 1, c = 90. Express v as a function of w. Find the speed of contraction if a weight of 16 grams is placed on the muscle.
Click here to see answer by solver91311(24713)  |
Question 1038523: Kindly help please.
Politics. The percentage s of seats in the House of Representatives won by Democrats and the percentage v of votes cast for Democrats (when expressed as decimal fractions) are related by the equation
5v - 2s = 1.4 0 < s < 1, 0.28 < v < 0.68
(A) Express v as a function of s, and find the percentage of votes required for the Democrats to win 51% of the seats.
(B) Express s as a function of v, and find the percentage of seats won if Democrats receive 51% of the votes.
Click here to see answer by robertb(5830)  |
Question 1038728: I have no idea how to solve this?
The population of a small town is given by the table:
Year: 1980, 1990, 2000, 2010
P: 3500, 3512, 3548, 3608
If the population is modeled by p(t) = at^2 + b where t is in years and t=0 corresponds to the year 1980 and t=1 corresponds the year 1990, find a.
Click here to see answer by Fombitz(32388)  |
Question 1038747: I know the answer is y = -16x^2 + 576, but how do I figure out how to write the equation?
Write the equation of the quadratic function whose graph is a parabola containing the given points.
An egg is dropped from the top of a 576-foot-high building. The ball is 432 feet above the ground after 3 seconds, and it reaches level ground in 6 seconds. The height above the ground is a quadratic function of the time after the ball is thrown. Write the equation of this function.
Click here to see answer by solver91311(24713) |
Question 1038747: I know the answer is y = -16x^2 + 576, but how do I figure out how to write the equation?
Write the equation of the quadratic function whose graph is a parabola containing the given points.
An egg is dropped from the top of a 576-foot-high building. The ball is 432 feet above the ground after 3 seconds, and it reaches level ground in 6 seconds. The height above the ground is a quadratic function of the time after the ball is thrown. Write the equation of this function.
Click here to see answer by josmiceli(19441)  |
Question 1038812: A box is to be made from a rectangular piece of cardboard by cutting a square from each corner and folding up the sides. The rectangular piece of cardboard is originally 10 inches long and 40 inches wide, and the squares removed from the corners are x inches wide. The volume of the box is given by the function V=x(10-2x)(40-2x). What restrictions must be placed on x to satisfy the conditions of this model? In other words, what is the domain of this function?
I know the answer is 0 < x < 5, but how do I find this? I did manage to get x=20 and x=5, however I don't understand how one is picked over the other.
Click here to see answer by solver91311(24713) |
Question 1038999: The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which of the following describes the domain of (gof)(x)
all real values except x cannot equal -3 and he x for which f(x) cannot equal 7
all real values except x cannot equal -3 and the x for which f(x) cannot equal -3
all real values except x cannot equal 7 and the x for which f(x) cannot equal 7
all real values except x cannot equal 7 and the x or which f(x) cannot equal -3
Click here to see answer by solver91311(24713) |
Question 1039079: I'm having some difficulty w/ a problem that asks why this:
f(x)=(x)/(x^2 + 2x - 3) creates the graph it does. I'm asked to include the asymptotes in my explanation which looks like -3 and and 1. I have the graph, but I'm unsure on how to explain it.
Any help is greatly appreciated!
Click here to see answer by stanbon(75887) |
Question 1039079: I'm having some difficulty w/ a problem that asks why this:
f(x)=(x)/(x^2 + 2x - 3) creates the graph it does. I'm asked to include the asymptotes in my explanation which looks like -3 and and 1. I have the graph, but I'm unsure on how to explain it.
Any help is greatly appreciated!
Click here to see answer by solver91311(24713) |
Question 1039074: I could use some help on this one. I really appreciate it!
Let f(x) = 6x^2 - 24 / x^2 - 36
(a) State the y-intercept.
(b) State the x-intercept(s).
(c) State the vertical asymptote(s).
(d) State the horizontal asymptote.
Thank you so much for your help!
Click here to see answer by stanbon(75887) |
Question 1038986: Let f(x) = 3x + 2 and g(x) =7x + 6. Find f ·g and its domain.
A.
21x2 + 32x + 12; all real numbers
B.
6x2 + 4x + 42; all real numbers except x = 2/3
C.
6x2 + 4x + 42; all real numbers
D.
21x2 +32x + 12; all real numbers except x = -6/7
Click here to see answer by amarjeeth123(569) |
Question 1039152: I could use some help on this problem, anything is helpful!
f(x) = 6x − 2
show that the given function is one-to-one and find its inverse. Check your
answers algebraically and graphically. Verify that the range of f is the domain of f^−1 and vice-versa.
Please help! I really appreciate it!
Click here to see answer by Boreal(15235) |
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