Tutors Answer Your Questions about Functions (FREE)
Question 352060: A vending takes only nickels and dimes. There are 5 times as many dimes as nickels in the machine. The face value of the coins is $4.40. How many of each coin are in the machine?
My father figured the answer out in his head, but he's not able to teach me how to translate the answer into an equation so I can figure future problems out by myself. Thank you very much for your help.
Click here to see answer by mananth(16946)   |
Question 352269: Given the function f(x)=4x^2-x+6, calculate f(x+5).
I know how to do functions, but this one has me stumped. I tried doing it the regular way, and it was wrong, so here are the answer choices.
A)4x^2+4x+106
B)4x^2+9x+25
C)4x^2+39x+101
D)4x^2-39x-111
I really need help on this because if I do the problem, I can figure out the outside numbers, but I don't know how to get the middle number. Thanks in advance!
Click here to see answer by jim_thompson5910(35256) |
Question 352293: An object is thrown straight up from the top of a 40 foot building at an initial rate of 72 feet per second.
a) Write the position function indicated.
b) Find the objects maximum height.
c) When does the object hit the ground? Hint: s(t)=0
d) When is it 80 feet above the ground? Hint: s(t)=80
Click here to see answer by scott8148(6628)  |
Question 352624: Given two functions f(x)=2x-5 and g(x)=x^2. Are the following statements true or false. Could you explain as to how you got the answer. And if my answers are correct.
a) f(x) + g(x) = g(x) + f(x) My answer gx^2 +2fx-5f
b) f(x) - g(x) = g(x) - f(x) Not sure
c) f(2) + f(3) = f(5) My answer f(2)(2x-5)+f(3)(2x-5)=10fx-25f
d) f(0) is always equal to zero. My answer 0 zero
Click here to see answer by CharlesG2(834) |
Question 352622: Given the linear function f(x)=-1/2x -4
a) Find f(-4). My answer is -9/2.
b) Determine the coordinates of the x-intercept. My answer is x=-1/2.
c) Determine the coordinates of the y-intercept. My answer is no y intercept.
d) Explain the difference between the x-intercept and the y-intercept. Not sure as to this answer.
d) Determine the slope. My answer is m=0, b=-9/2.
e) Determine the slope of a line perpendicular to this line. Not sure
If you can help me as to if it's right and explain the ones I did not do, and how you solved it.
Thanks
Click here to see answer by Alan3354(69443)  |
Question 353769: Please Please help me with this problem! I have been trying to get the last answer for about a week and have not been able to figure it out for the life of me. What am I missing? I have tried the third problem so many times that I am not even sure what I originally thought the answer was. I was able to figure out the first, second, and fourth answers but not the third.
In a well known story the inventor of the game of chess was asked by his well pleased King what reward he desired. "Oh, not much, your majesty", the inventor responded, "just place a grain of rice on the first square of the board, 2 on the next, 4 on the next, and so on, twice as many on each square as on the preceding one. I will give this rice to the poor." (For the uninitiated, a chess board has 64 squares.) The king thought this a modest request indeed and ordered the rice to be delivered.
Let f(n) denote the number of rice grains placed on the first n squares of the board. So clearly, f(1)=1, f(2) = 1+2 = 3, f(3)= 1+ 2 + 4 =7, and so on. How does it go on? Compute the next two values of f(n): f(4) =___ ~ f(5) =___ ~
Ponder the structure of this summation and then enter an algebraic expression that defines
f(n) =____ as a function of n. Supposing that there are 25,000 grains of rice in a pound, 2000 pounds in a ton, and 6 billion people on earth, the inventor's reward would work out to approximately ____tons of rice for every person on the planet. Clearly, all the rice in the kingdom would not be enough to begin to fill that request. The story has a sad ending: feeling duped, the king caused the inventor of chess to be beheaded.
Here are the answers I have so far:
1. 15
2. 31
3. ?
4. 61.4819
Click here to see answer by stanbon(75887) |
Question 353919: Assessment 9-2A p. 550#16
16. Four blue socks, four white socks, and four gray socks are mixed in a drawer. You pull out two socks, one at a time, without looking.
a. Draw a tree diagram along with the possible outcomes and the probabilities of each branch.
b. What is the probability of getting a pair of socks of the same color?
c. What is the probability of getting two gray socks?
d. Suppose that, instead of pulling out two socks, you pull out four socks. What is the probability now of getting two socks of the same color?
Click here to see answer by edjones(8007)  |
Question 355017: Hi,
I am not sure exactly where this question would belong under the topics list. Hopefully, someone can help.
What does this mean?
"Write an equation to describe the variation: z varies jointly as x and the square of y."
Possible Solutions:
a) z = kxy^2
b) z = kxy
c) z = kx/y^2
d) k = xy^2x
e) z = k(x+y^2)
Many thanks!
Ron
Click here to see answer by user_dude2008(1862) |
Question 355208: Hi, I'm doing combining functions problems right now, and so far, I have been stuck on this one. I've looked in the textbook, but have not found any similar problems like it. So thanks for the help in advance!
Given f(x)=1/2x and g(x)=1/3x, find (fog)(x).
a). 1/6x^2
b). 2/3
c). 3/2x
d). 3x/2
Click here to see answer by Fombitz(32388)  |
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