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Question 1141540: A scientist records the motion of a particle. A graph of that motion is shown below.
Graph in link: https://snag.gy/3Y08pd.jpg
a) What is the period of one complete cycle?
b) What is the range of this function?
c) If the particle can survive for twenty complete cycles before deteriorating, determine the domain of the function.
d) Determine the equation of the axis.
e) Determine the amplitude.
Click here to see answer by ikleyn(52747)

Question 1141963: The graph of y=√(x+4) -2is vertically stretched about the line y=-3 by a factor of 3 and reflected in the line x=1. Write the equation of the transformed function in the form y=a√(-(x-h)) +k
The answer is y=3√-(x-6).. Its too bad my math teacher isn't the best at teaching!
Could I get some help please?
Click here to see answer by greenestamps(13195)

Question 1142447: Suppose the functions f and g are defined by
f(x) = x^2(x + 1) (x − 2) and g (x) = x^2
Which of the following statements is / are true?
A. f (−1) = 0
B. g (x + 1) = x^2 + 1
C. (f/g)(x) = (x + 1) (x − 2) and Df/g = R
1. Only A
2. Only B
3. Only C
4. Only A and B
5. A, B and C
Click here to see answer by Theo(13342)

Question 1142454: The circle with the equation
x^2 − 2x + y^2 + 6y = 6
has centre C and radius r, where
1. C = (1, −3) ; r = 4
2. C = (1, −3) ; r = 16
3. C = (−1, 3) ; r = 4
4. C = (−1, 3) ; r = 16
5. C = (0, 0) ; r = sqrt(6)

Click here to see answer by Alan3354(69443)

Question 1142486: If a^2+b^2=65 and 4ab=24,calculate the value of
(a+b^)^2
(2a-2b)^2
Click here to see answer by math_helper(2461)

Question 1142547: Given that f(x) = 3x + 1 g(x) = 5x -8 and h(x) = 2x - 1
3
find:- f(-4)= g[h(5)] = f[g(3)] = g[h(x)] = h-1(7)
Click here to see answer by josgarithmetic(39613)

Question 1142731: Evaluate the function y=1/2x-4 for each of the given domain values.
1. f(-2)=
2. f(0)=
3. f(3/2)=
4. f(-2/3)=
How do you answer these types of questions? Please help me with this!
Click here to see answer by rothauserc(4718)

Question 1142905: The profit function for a company is given by the following nonlinear equation P(x) = 4x2 - 200x − 25000 where P is the profit in dollars and x is the number of units sold.
3.1.1. Find the profit when 600 units are sold.
3.1.2. Determine the break-even level for this company

Click here to see answer by ikleyn(52747)

Question 1143012: Please help me solve this problem:
Given h(x) =|x-2| how do I find the following function values?
h(-4)
h(-x+2)
Click here to see answer by josgarithmetic(39613)

Question 1143053: SOLUTION: I am a rational function having a vertical asymptote at the lines x = 3 and x = -3, and a horizontal asymptote y = 1. If my only x-intercept is 5, and y-intercept is -5/9, What Function am I ?
Please help me to solve this problem by step by step , showing solution and graph, and final answer thanks po
Click here to see answer by solver91311(24713)

Question 1142992: A lechon manok store has an average of 5000 customers per week and sells for 225 pesos per whole-grilled chicken. Because of increased labor and production cost, the store owner needs to increase the price of grilled-chicken. The owner is aware of the results of the survey that each 10 pesos increase in price, the number of customers decreases by 12.
a. Write a function rule that describes the reduced number of customers after the increase in price.
b. How much income would be realized by the owner if he decides to increase the original price to 225 pesos?
Click here to see answer by Theo(13342)

Question 1143054: SOLUTION: I am a rational function having a vertical asymptote at the lines x = 3 and x = -3, and a horizontal asymptote y = 1. If my only x-intercept is 5, and y-intercept is -5/9, What
Click here to see answer by greenestamps(13195)

Question 1143094: An electronics store is having a going-out-of-business sale. They have 220 computers in their inventory, and they believe they can sell 3 computers every day. If y represents the total number of computers in their inventory and x represents the number of days, which function rule describes this situation?

Click here to see answer by josgarithmetic(39613)

Question 1143152: The distance, in feet, that a certain object travels after t seconds is given by the function d(t)=a(t)+1/2bt2, where a and b are positive constants. Which of the following functions,s, represents the average (arithmetic mean) rate in feet per second, when the object has traveled t seconds?
a) s(t)= 2t
b) s(t)=t+t2
c) s(t)=t2+t3
d) s(t)=1+t
e) s(t)=1+t2

Click here to see answer by ikleyn(52747)

Question 1143298: A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season, the clinic saw 85 patients. In week 10 of flu season, the clinic saw 65 patients. Assume the reduction in the number of patients each week is linear. Write an equation in function form to show the number of patients seen each week at the clinic.
f(x) = 20x + 85
f(x) = −20x + 85
f(x) = 4x + 105
f(x) = −4x + 105
Click here to see answer by greenestamps(13195)

Question 1143299: Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 2)?
The graph of y = f(x) will shift left 2 units.
The graph of y = f(x) will shift right 2 units.
The graph of y = f(x) will shift up 2 units.
The graph of y = f(x) will shift down 2 units.
Click here to see answer by greenestamps(13195)

Question 1143377: Show the solution and vertex of f(x)=8x^2+x-5
Click here to see answer by greenestamps(13195)

Question 1143377: Show the solution and vertex of f(x)=8x^2+x-5
Click here to see answer by Alan3354(69443)

Question 1143377: Show the solution and vertex of f(x)=8x^2+x-5
Click here to see answer by josgarithmetic(39613)

Question 1143376:
Click here to see answer by greenestamps(13195)

Question 1143497: Hi! I have been having a lot of trouble with this one problem:
For g(x) = 3x - 5 and g(a) = 16, find a.
I usually am not very good with functions, and someone clarifying this question for me would be much appreciated. Cheers!
Click here to see answer by math_helper(2461)

Question 1143853: f:x -> 3-2e^-x
f^n (x) = -e^2x
Click here to see answer by greenestamps(13195)

Question 1143853: f:x -> 3-2e^-x
f^n (x) = -e^2x
Click here to see answer by Alan3354(69443)

Question 1143853: f:x -> 3-2e^-x
f^n (x) = -e^2x
Click here to see answer by ikleyn(52747)

Question 1143966: Write a function rule for the input-output table -- Input - 0, 1, 2, 3 and Output - 5.2, 4.2, 3.2, 2.2
Click here to see answer by ikleyn(52747)

Question 1144106: Please help me solve this question:
Let f(x)= m-(1/x), for x≠0. The line y=x-m intersects the graph of f in two distinct points. Find the possible values of m.
Thank you!
Click here to see answer by Alan3354(69443)

Question 1144124: Please help me with this problem.
Thank you.
How to write the factored form (over the set of integers) of the function y(x)=x^4+12x^3+48x^2+72x+32 given x=-3+ √5 is a zero of the function.

Click here to see answer by ikleyn(52747)

Question 1144125: Can someone help me with this? Thank you.
I need to find all the zeros of the function f(x)=-2x^4-5x^3-5x^2-20x+12, given -3 is a zero.

Click here to see answer by ikleyn(52747)

Question 1144146: Given the function p(x)=x^2+3x-4, solve the following:
[p(x+h)-p(x)]/h
Click here to see answer by josgarithmetic(39613)

Question 1144593: At the bookstore, the cost, in dollars of HiTech USB flash drives, is a function of the capacity, in gigabytes. Write a sentence which describes f(16)
Click here to see answer by Alan3354(69443)

Question 1144613: If f(x)=x^2, find two functions g for which (f o g)(x)=4x^2-12x+9
Click here to see answer by ikleyn(52747)

Question 1144647: SOLUTION: express the length l of a chord of a circle of radius 8 in. as a function of its distance x in. from the center of the circle, and determine the domain of the function
Click here to see answer by ikleyn(52747)

Question 1144791: Im trying to find the output function of f(4) if x=4
Click here to see answer by ikleyn(52747)

Question 1144794: Can u help me with my math problem im tryning to find the output function of f(4) if x=4 can u give me the answer
Click here to see answer by ikleyn(52747)

Question 1144668: Find f (a), f (a + h), and the difference quotient for the function given below, where h does not equal 0. f(x) = x/(x + 5)
Click here to see answer by Edwin McCravy(20054)

Question 1145113: Show by elimination that x = t^2 − 1/t^2+1 and y = 2t/ t^2+1
almost represent the unit circle x^2 + y^2 = 1. What point is missing?

Click here to see answer by ikleyn(52747)

Question 1145301: If m(x) = -2x+1, what is [m(x+2) - m(x)]/2?
The answer is said to be -2 but I keep on getting 1.
Click here to see answer by Alan3354(69443)

Question 1145171: A function f is defined for integers m and n as given: , where either m or n is equal to 1, and f(1) = 2.
a) Prove that
b) Find the value of f(9999).
Click here to see answer by Edwin McCravy(20054)

Question 1145307: Given the function
f(x) = {x^2 - x if x<0
1 if 0 < or equal to x < or equal to 3
-x+1 if 3 < x < or equal to 10
what should be the value of k so that f(k) = f(0)- f(6)?
Click here to see answer by greenestamps(13195)

Question 1145564: Find 2 numbers whose sum is 18 and whose product is a maximum. Show your work.
1. Write a quadratic function 2. Change it to work form and give the max point 3. Answer the question.
Click here to see answer by Alan3354(69443)

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