Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

Tutors Answer Your Questions about Functions (FREE)

Question 287872: how do i write in simplest form if f(x)=4x^2+3x-2
f(x)+4
Click here to see answer by jim_thompson5910(35256)

Question 287924: How do I find a value function from a word problem? Here is the problem I have. At Ricky's Rockers, owner, Ricky Ray, purchased new sanding equipment for his production line at a cost of $24,000. If the sanding equipment depreciates at $1,500 per year, find a value function, V(t), expressed as a function of time (t) in years.
Click here to see answer by checkley77(12844)

Question 287931: if f(x)=2x-3and g(x)=x^2+1 fog(-1) (gof) (4)I thank you in advanced please help me here .and with this onefind (f-g) (x) f(x) =x^2 -2x-24 and g(x)=x^2 -x-30
Click here to see answer by stanbon(75887)

Question 288108: Write an equation of the line containing a given point and perpendicular to the given line.
(4,-9); 4x+9y=2
The equation of the line is y=
(type your answer in the form y=mx+b. Simplify your answer. Type an integer or fraction.

Click here to see answer by richwmiller(17219)

Question 288178: I need the formula to solve this problem. Section entitled, Analyzing Graphs of quadratic functions, maximizing area.
The sum of the base and the height of a triangle is 26 cm. Find the dimensions for which area is a maximum.
The triangle with maximum area has a height of ______ and a base of ______.
Click here to see answer by richwmiller(17219)

Question 288104: In 1920, the record for a certyain race was 46.4 seconds. In 1950, it wq 46.1 seconds. Let R(t)= the record in the race and t= the number of years since 1920.
a.)find a linear fucntion that fits the data
b.) Use the function in (a) to predict the record in 2003 and in 2006.
c.) find the year that the record will be 45.53 seconds.
Find a linear equation function that fits the data.
r(t)=______
ROUND TO THE NEAREST HUNDRETH
Click here to see answer by amnd(23)

Question 288301: Find an equation of the line containing the given pair of points: (-2 ,3) and (-4, 6).

Click here to see answer by Alan3354(69443)

Question 288303: The table below shows data regarding the world indoor records in the men�s 400-m run.
YEAR RECORDS IN THE 400-M RUN IN SECONDS
_________________________________________________
1970 46.8
2004 44.63
a. Use the two data points to find a linear function that fits the data. Let the number of years since 1970 and the world record x years from 1970. Show your work and explain your answer.
b. Use the function to estimate the world record in the men�s 400-m run in 2008 and in 2010.

Click here to see answer by stanbon(75887)

Question 288300: Homespun Jellies charges $2.49 for each jar of preserves. Shipping charges are $3.75 for handling, plus $0.60 per jar. Find a linear function for determining the cost of buying and shipping x jars of preserves.
Click here to see answer by jaydducote(11)

Question 288299: The function A(t)=0.233t+5.87 can be used to estimate the median age of cars in the United States t years after 1990. (In this context, we mean that if the median age of cars is 3 yr, then half the cars are older than 3 yr and half are younger.)
a. Find the median age of cars in 2002.
b. In what year was the median age of cars 7.734 yr?

Click here to see answer by richwmiller(17219)

Question 288449: if 13k is subtracted from 3k^2 and their sum is -14, which could be a value of k?
Click here to see answer by Alan3354(69443)

Question 288617: Which ordered pair makes the relation (2,1), (3,2), (-1,5) not a function?
a. (3,2)
b. (-2,1)
c. (1,4)
d. (-1,4)
Click here to see answer by richwmiller(17219)

Question 288657: If f(4) = 0 and f(6) = 6, which of the following could represent f(x)?
A 2/3x - 4
B 5+2
C x-4
D 3x-12
I want to understand how to solve this problem.
Thanks,
Stacy
Click here to see answer by jim_thompson5910(35256)

Question 288929: i need to deternime the domain for this function g(x) = the square root of x-2
Click here to see answer by nyc_function(2741)

Question 289067: determine where the given function is concave up and where it is concave down
f(x)= 6x-x^3.

Click here to see answer by nyc_function(2741)

Question 289077: We are finding the equation that these functions come from, so we are basically solving backwards. the Problem is: find F(x)if F(2+i)=0 and F(2-i)=0. I have tried plugging in x for i and other random things But not sure what exactly to do. Thank you for your help :)
Click here to see answer by scott8148(6628)

Question 289581: in the function 4x+3y=-6, the y-intercept is what?
Click here to see answer by richwmiller(17219)

Question 289576: in the function 5x-y=5, the x-intercept is what?
Click here to see answer by richwmiller(17219)

Question 289856:
Click here to see answer by Fombitz(32388)

Question 289950: Write an equation in standard form for a line with an x intercept of 2 and a y intercept of 5.
Click here to see answer by brucewill(101)

Question 289950: Write an equation in standard form for a line with an x intercept of 2 and a y intercept of 5.
Click here to see answer by Stitch(470)

Question 289949: Hello,
I cannot figure out how to solve the following problem - sorry it's 3 steps!
For f(x) = -x^2-4x+1
a. Fin the coordinates of the vertex
b. Fin the x and y intercepts
c. Rewrite in standard form
Thank you very much for your help!!!!!
Click here to see answer by richwmiller(17219)

Question 290082: Having problems understanding how to graph a function example, h(x)=3-x they want to know if the function is even,odd, or neither

Click here to see answer by dabanfield(803)

Question 290495: can you tell me using this function 4x/x-2 what is the horizontal asymptote? and can you show mwe the work. and with the same one what is the functions y-intercepts I thank you in adv anced .I hope you can help me . a few days a go i asked for help I dont know if it was be cause you had help me before you didnt I hope you do now.
Click here to see answer by richwmiller(17219)

Question 290540: Provide an example of at least five ordered pairs that do not model a function. The domain will be any five integers between 0 and 20. The range will be any five integers between -10 and 10. Why does your example not model a function?
Click here to see answer by richwmiller(17219)

Question 290643: The speed of a baseball crossing home plate after being pitched depends on its initial velocity. If thrown at 74 mph, the speed over home plate will be 72.2 mph. If thrown at 50 mph, the speed over home plate will be 44.7 mph.
A. Speed(50) = 44.7
B. Speed(44.7) = 50
C. Speed(74) = 72.2
D. Speed(72.2) = 74

Click here to see answer by richwmiller(17219)

Question 290635: Find the slope of the tangent line at the given point then write the equation of the tangent line.
f(x)=4/x, x=5
Ans y=-4x/25+8/5
I keep getting this answer 4x + 25y = 40
Click here to see answer by Earlsdon(6294)

Question 290733: Given the following function rules and domains, find the associated ranges.
a) f(x)=5x+3, Domain={0,1,2,3,4}

Click here to see answer by richwmiller(17219)

Question 290940: Find Derivative
f(x)=9x^7/5-5x^2+10^4

Any help would be great.
Ans=63/5 x^2/5 -10x
Click here to see answer by dabanfield(803)

Question 290940: Find Derivative
f(x)=9x^7/5-5x^2+10^4

Any help would be great.
Ans=63/5 x^2/5 -10x
Click here to see answer by Edwin McCravy(20056)

Question 290961: Find the derivative of the function
f(x)= 3x(4x+3)^5
y'=20(4x+3)^4

Click here to see answer by stanbon(75887)

Question 290960: find derivative f(x)= 7sqrt(x) , (x>0)
am I suppose to plug in 1/2 to this problem? I'm a little confused.
Ans: 1/7 x^(-6/7)
Click here to see answer by richwmiller(17219)

Question 291037: Here's the problem: Soybeans @ 16% protein, corn @ 8% protein � How many LB of soybeans and corn if you want a 320 LB mixture @ 15% protein?
Click here to see answer by nerdybill(7384)

Question 291039: Train A and B are traveling in the same direction on parallel tracks.
Train A is traveling at 60 miles per hour and train B is traveling at 80 miles per hour. Train A passes a station at 8:25AM. If train B passes the same station at 8:40AM at what time will train B catch up to train A? _____:______

Click here to see answer by Greenfinch(383)

Question 292134: y=x^2+8x+3/√x

√=square root
Ans: y'=3x^2+8x-3/2x^3/2
Click here to see answer by stanbon(75887)

Question 293257: Write the equation(S) in function form, please. 5x-y=-1 and 2y+3x=2
Thanks a bunch- curious learner
Click here to see answer by jim_thompson5910(35256)

Question 293284: how do you find the domain and range of this equation?
x^2 + 10 < x < 5 The less than signs are to be less than or equal to
Click here to see answer by stanbon(75887)

Question 293694: f(-21/10)=13(-21/10)-26(-21/10)+14
i do not understand how to work this problem out
i know answer is 12593/100...
but how do you get to that?
Click here to see answer by stanbon(75887)

Question 293941: Given f(x) = 2x - 1, find the value of f(1).
Click here to see answer by checkley77(12844)

Question 295295: Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
Hint: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions.
1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of Earth.
a. Solve the equation for r.
b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.)
c. Use the value of C you found in the previous question to determine how much the object would weigh in
i. Death Valley (282 feet below sea level).
ii. the top of Mount McKinley (20,320 feet above sea level).
2. The equation gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a. Solve this equation for h.
b. Long�s Peak in Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long�s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer

Click here to see answer by richwmiller(17219)

Question 295296: I am working on functions (fractions/ division) but I am stumped. Any help is appreciated.
compute and then simplify the quantity f (a + h) − f (a):
f(x)=2/x+1
thank you
Click here to see answer by jim_thompson5910(35256)

Question 296105: I was given this problem to solve:
f(x) = 12/7
Evaluate for f(6).
I cannot see how this is a function, since there is only one variable on the left side of the equation. The answer I submitted was that there was no real solution and I was graded as wrong. Can you tell me how to solve this problem?

Click here to see answer by richwmiller(17219)

Question 296402: The gas mileage, m, of a specific car is a linear function of the speed, s, at which the car is driven,for 60 less that or equal to s less than or equal to 30. if the car is driven at a rate of 30MPH, the cars gas mileage is 35MPG. If the car is driven at 60MPH the cars gas mileage is 20MPG. I need to use this data (s,m) to write an equation for the gas mileage m. I have know idea how to do this!
Click here to see answer by josmiceli(19441)

Question 297122: y=ln(x^2-1)
Click here to see answer by Fombitz(32388)

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