Tutors Answer Your Questions about Functions (FREE)
Question 976482: Complete the following functions
F(x)=x-2, g(x)=x^2
Find (f+g)(x) and its domain
find fg(x) and its domain
find (F/g)(x) and its domain.
Can someone please show show a step by step instructions for at least one of them please.
Click here to see answer by Boreal(15235)  |
Question 976712: A bacteria culture initially contains 2500 bacteria and doubles every half hour. Round your answers to at least 1 decimal place.
Find the size of the bacteria population after 80 minutes?
Find the size of the bacteria population after 10 hours?
I have the formula for doubling but am i doing it by 30 min? if so how do i write that in my exponent.
Click here to see answer by FrankM(1040)  |
Question 976726: The rat population in a major metropolitan city is given by the formula n(t)= 79 e^(0.015 t) where t is measured in years since 1992 and n(t) is measured in millions.
What was the rat population in 1992 ?
What is the rat population going to be in the year 2009 ?
Click here to see answer by jim_thompson5910(35256) |
Question 976726: The rat population in a major metropolitan city is given by the formula n(t)= 79 e^(0.015 t) where t is measured in years since 1992 and n(t) is measured in millions.
What was the rat population in 1992 ?
What is the rat population going to be in the year 2009 ?
Click here to see answer by josmiceli(19441)  |
Question 976711: Find a formula for the exponential function passing through the points (-2,5/16) and (3,320). Use x as your input variable... y=?
I tried a few times, i watched a video and believe i am doing the steps right but i overthink simplifying fractions so its throwing me off.
Click here to see answer by josgarithmetic(39618) |
Question 976818: A high school band held a bake sale. The number of cupcakes sold was two more than four times the number of cookies sold. The band sold a total of 67 cupcakes and cookies. How many cupcakes were sold?
Click here to see answer by FrankM(1040)  |
Question 976934: A farmer has invested $25,000 into his corn crop. Once his crop is harvested, he makes $4,983 per bale. Which equation best represents P, the amount of profit the farmer makes when producing 6 bales of corn?
A. P= 25,000 - 4,983 x 6
B. P= 4,983 x 6 - 25,000
C. P= 25,000 + 4,983 x 6
D. P= (25,000 - 4,983) x 6
Click here to see answer by richwmiller(17219)  |
Question 976989: Take any wire of length 16 inches. Cut the wire into two pieces such that the sum of the areas of the square and circle formed by the pieces of wire is the minimum.
A = Area of square + Area of circle.
= (S/4)^2 + C^2/4(pi symbol) where C = 2(pi symbol)r
1) S + C =____________
2) A =_______ + _______________ (Write the equation in terms of C. )
3) Find dA/dC.
4) Set dA/dC = 0 and solve for C.
5) Check if A’’ is positive. If it is positive, the total area is minimum.
6) S = ___________ and C =_______________
Please help me with this problem. Thank you so much!!
Click here to see answer by Alan3354(69443)  |
Question 976989: Take any wire of length 16 inches. Cut the wire into two pieces such that the sum of the areas of the square and circle formed by the pieces of wire is the minimum.
A = Area of square + Area of circle.
= (S/4)^2 + C^2/4(pi symbol) where C = 2(pi symbol)r
1) S + C =____________
2) A =_______ + _______________ (Write the equation in terms of C. )
3) Find dA/dC.
4) Set dA/dC = 0 and solve for C.
5) Check if A’’ is positive. If it is positive, the total area is minimum.
6) S = ___________ and C =_______________
Please help me with this problem. Thank you so much!!
Click here to see answer by htmentor(1343)  |
Question 977367: Take any wire of length 20 inches. Cut the wire into two pieces such that the sum of the areas of the square and circle formed by the pieces of wire is the minimum.
A = Area of square + Area of circle.
= (S/4)2 + C2 /4π where C = 2πr
1) S + C =____________
2) A =_______ + _______________ (Write the equation in terms of C.)
3) Find dA/dC.
4) Set dA/dC = 0 and solve for C.
5) Check if A'' is positive. If it is positive, the total area is minimum.
6) S = ___________ and C =_______________
Click here to see answer by solver91311(24713)  |
Question 977584: The total cost of renting a banquet hall is a function of the number of hours the hall is rented. The owner of the banquet hall charges $85 per half hour up to a maximum of 4 hours plus a $50 cleaning fee.What is the greatest value in the range for this situation?
Click here to see answer by josmiceli(19441)  |
Question 977757: A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At this prize booth 5 tickets can be exchanged for a large action figure, and 7 tickets can be exchanged for 2 small action figures. The boy wants 4 times as many small action figures as large action figures. Based on this information, can the boy get 80 small action figures?
Click here to see answer by Cromlix(4381)  |
Question 977999: Take any wire of length 60 inches. Cut the wire into two pieces such that the sum of the areas of the square and circle formed by the pieces of wire is the minimum.
A = Area of square + Area of circle.
= (S/4)2 + C2 /4π where C = 2πr
1) S + C =____________
2) A =_______ + _______________ (Write the equation in terms of C.)
3) Find dA/dC.
4) Set dA/dC = 0 and solve for C.
5) Check if A'' is positive. If it is positive, the total area is minimum.
6) S = ___________ and C =_______________
Click here to see answer by solver91311(24713)  |
Question 978200: The one to one function f is defined on the domain x>0 by f(x) = (2x-1)/(x+2).
A) State the range, A, of f.
B) Obtain an expression for f^(-1) (x) for x∈A.
I am assuming that the letter A is only a variable used to represent the range of f(x). If that is the case, how can an expression be made for the inverse function?
Click here to see answer by josgarithmetic(39618) |
Question 978651: A box contains 150 candles. It has a width that is five times the height of the box and a length that is thrice the width of the box. The volume of each candle is 1 in^3. Find the height of the box.
Please, please help!! Thank you!!
Click here to see answer by Boreal(15235)  |
Question 978608: State the domain and range of the following relation:
x--- 0,2,3,2
y--- 8,-4,9,4
a.Domain:0,2,3 b.Domain:0,2,3
Range -4,4,8,9 Range:4,8,9
C.Domain:0,2,3 D:Domain:-4,4,8,9
Range:-4,8,9 Range:0,2,3
Click here to see answer by MathLover1(20850)  |
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