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

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 Algebra: Functions, Domain, NOT graphing Solvers Lessons Answers archive Quiz In Depth

 Question 160512: f(x)=5x-1 f(x-h)-f(x) ___________ h Click here to see answer by Fombitz(13828)

 Question 160632: Find the domain of the function. Click here to see answer by Edwin McCravy(8909)

 Question 160702: Rewrite the equation so y is a function of x. -7x + y = 8 Click here to see answer by nerdybill(6962)

 Question 160896: Find the mean, median and mode for the data listed.... 60, 68, 72, 78, 70, 69, 70, 71 Click here to see answer by Edwin McCravy(8909)

 Question 161331: finding funtion values f(0) =3x²-2x +8 Click here to see answer by KnightOwlTutor(293)

 Question 161541: how do i solve this problem (there are no numbers given) This is the exact problem Solve for B A=1/2*B*H Click here to see answer by Earlsdon(6287)

 Question 161544: I'm having a hard time setting up this equation... A manufacturer finds that for the first 300 units of its product that are produced and sold, the profit is \$60 per unit. The profit on each of the units beyond 300 is decreased by \$0.10 times the number of additional units sold. What level of output will maximize profit? I can solve these when I am givin the function but I need help setting this one up. Then I will be more well equipped to solve these in the future. Thanks to all the tutors out there, your help is greatly appreciated. Click here to see answer by Alan3354(30993)

 Question 161593: how can you rewrite this equation so that y is a function of x: 5(y-3x)=8-2x Click here to see answer by nerdybill(6962)

 Question 161526: given the algebraic relation x=y^2+1, determine the domain, range, and whether or not it is a funtion. on my graphing calculator it shows a line that starts at (-.851,.386)to infinity. it shows it as though if you did a vertical line test, it would be a function. I'm confused because if I insert a pos # into y or a - # into y, squaring it will give you the same number. you can't have 2 different y's giving the same x or it is not a function, right? Click here to see answer by Edwin McCravy(8909)

 Question 161825: Determine the linear function whose graph is a line that is perpendicular to the line g(x)= 5x-3 and contains the point (7,4) Click here to see answer by checkley77(12569)

 Question 161843: A section of the Uncanoonuc Mountains, called the West Side Trail, is located in New Hampshire. The trail has a vertical change of about 268 feet vertically for every 1000 feet it moves along Horizontally. What is the slope of the trail? slope=rate of change= (change in y)/ (change in x)= (vertical change)/(horizontal change) slope= 268 feet/1000ft=268/1000=67/250 Click here to see answer by checkley77(12569)
 Question 161843: A section of the Uncanoonuc Mountains, called the West Side Trail, is located in New Hampshire. The trail has a vertical change of about 268 feet vertically for every 1000 feet it moves along Horizontally. What is the slope of the trail? slope=rate of change= (change in y)/ (change in x)= (vertical change)/(horizontal change) slope= 268 feet/1000ft=268/1000=67/250 Click here to see answer by eperette(173)

 Question 161853: This one is giving me alot of trouble. The question is: Given f(x)=3x+5, find f(a-1). Please help explain this to me!! Notice that x is an independent variable which can be replaced with any number; numbers; or other variables...in this case we want to substitute it with (a-1)... f(x)=3x+5 then f(a-1)=3(a-1)+5....any time you substitute x with anything you must place that in parenthesis like I did to show the substitution so f(a-1)=3a-3+5 (by distributing 3 to (a-1), i.e. multiplying 3 with variables inside the parenthesis to get rid of parenthesis), then f(a-1)=3a+2 by simplifying (adding like terms together) Click here to see answer by eperette(173)
 Question 161853: This one is giving me alot of trouble. The question is: Given f(x)=3x+5, find f(a-1). Please help explain this to me!! Notice that x is an independent variable which can be replaced with any number; numbers; or other variables...in this case we want to substitute it with (a-1)... f(x)=3x+5 then f(a-1)=3(a-1)+5....any time you substitute x with anything you must place that in parenthesis like I did to show the substitution so f(a-1)=3a-3+5 (by distributing 3 to (a-1), i.e. multiplying 3 with variables inside the parenthesis to get rid of parenthesis), then f(a-1)=3a+2 by simplifying (adding like terms together) Click here to see answer by Alan3354(30993)

 Question 161826: A manufacturer finds that for the first 300 units of its product that are produced and sold, the profit is 60 dollars per unit. The profit on each of the units beyond 300 is decreased by \$.10 times the number of additional units sold. What level of output will maxamize profit? Click here to see answer by Alan3354(30993)
 Question 161826: A manufacturer finds that for the first 300 units of its product that are produced and sold, the profit is 60 dollars per unit. The profit on each of the units beyond 300 is decreased by \$.10 times the number of additional units sold. What level of output will maxamize profit? Click here to see answer by ankor@dixie-net.com(15658)

 Question 162116: Solve each of the followning problems by setting up and solving an alebraic equation. One of two supplementary angles is five times as large as the other. Find the measue of each angle. Click here to see answer by eperette(173)
 Question 162116: Solve each of the followning problems by setting up and solving an alebraic equation. One of two supplementary angles is five times as large as the other. Find the measue of each angle. Click here to see answer by Electrified_Levi(103)

 Question 162118: Solve each of the following problems by setting up and solving an algebraic equation. Suppose that Bab is paid two times his normal hourly rate for each hour worked excess of 40 hours in a week. Last week he earned \$504 for 48 hours of work. What is his hourly age? Click here to see answer by checkley77(12569)

 Question 162197: What is the rule when 1=1 2=6 3=15 4=28 5=44 Click here to see answer by Alan3354(30993)

 Question 162201: The Function N(x)= -0.0534x^2 + 0.337x + 0.969 gives the number of active-duty military personnel in the United States Army (in millions) for the years 1965-1972, where x=0 corresponds to 1965, x = 1 corresponds to 1966 and so on. For this period, when was the Army's personnel strength level at its highest, and what was it? I put it into the equation x = -b/2a which I got -3.155 rounded off =3 i then put the -3 into the original equation and I got the answer of -.5226 so I am guessing I did something wrong! Any help? Please and thank you! :) Click here to see answer by stanbon(57377)

 Question 162374: Find the domain and range of each relation. {(-3,-7),(-1,-3), (0,-1),(2,3),(4,7)} The domain is the x values The range is the y values Answer: Domain= {-3, -1, 0, 2, 4} Range= {-7, -3, -1, 3, 7} Click here to see answer by eperette(173)

 Question 162388: How do you write an equation in funtion notation? Click here to see answer by gonzo(654)

 Question 162568: what do ; mean in a problem and how would you work the problem example 6x + 7y = 12; y Click here to see answer by stanbon(57377)

 Question 162662: find the correct domain g(x)= 4/4-5x Click here to see answer by riya(2)

 Question 162733: The funtions are f(x)=2x^2+5x+7 and g(x)=x^3 + 2 The directions say evaluate the following: and identify the domain of each The question is (f/g)(x) I got 2x^2+5x+7/x^3+2 would the domain be that x cant equal 2? Click here to see answer by gonzo(654)

 Question 162730: The funtions are f(x)=2x^2+5x+7 and g(x)=x^3 + 2 The directions say evaluate the following: and identify the domain of each the question is (f-g)(x) I got -x^3+2x^2+5x+5 but I still need the domain Click here to see answer by vleith(2825)

 Question 162732: The funtions are f(x)=2x^2+5x+7 and g(x)=x^3 + 2 The directions say evaluate the following: and identify the domain of each The question is (f*g)(x) So far I have 2x^5+5x^4+7x^3+4x^2+10+14 Click here to see answer by gonzo(654)

 Question 162731: The funtions are f(x)=2x^2+5x+7 and g(x)=x^3 + 2 The directions say evaluate the following: and identify the domain of each The question is (g-f)(x) I got x^3-2x^2-5x-5 so far Click here to see answer by gonzo(654)

 Question 162729: The functions are f(x)=2x^2+5x+7 and g(x)=x^3 + 2 The directions say evaluate the following: and identify the domain of each (f+g)(x) I got x^3+2x^2+5x+9 but I dont know what the domain is. Click here to see answer by gonzo(654)

 Question 162851: I need an explanation on how to solve this problem: Determine the domain of the function f(x) Thank you Click here to see answer by Earlsdon(6287)

 Question 162906: You hike at an average rate of 3 miles per hour. Your total hiking experience d(in miles) is given by the function d=3t where t is the time(in hours) you spend hiking. If you hike for 4 hours, what is the range of the function? Click here to see answer by elima(1433)

 Question 162977: Find f(1) for f(x) = 4x3 - 3x2 - x + 2 Click here to see answer by jim_thompson5910(28595)

 Question 162978: vi. A function gives the value of C as 2 × (22/7) × r. Find C when r = 21 cm and r = 84 cm. Click here to see answer by jim_thompson5910(28595)

 Question 163024: I have a graphing problem and it is driving me crazy!!!! It is hard for me to explain it. But I will try. The problem is using a graph of y=-x^2+4x+5 but without solving the equation, or factoring, determing the solution to the equation -x^2+4x+5=0 but we have to use a graph! The second problem is, but i'm not sure what is meant by calculate the value of discriminant of x^2+x+3=0? Click here to see answer by Earlsdon(6287)

 Question 163091: 0.6x+5≤1.0x-6 The solution is [x|x __ __ ] Click here to see answer by joecbaseball(37)

 Question 163086: Find the slope and the y-intercept. f(x)= -10x-2 Click here to see answer by checkley77(12569)
 Question 163086: Find the slope and the y-intercept. f(x)= -10x-2 Click here to see answer by joecbaseball(37)
 Question 163086: Find the slope and the y-intercept. f(x)= -10x-2 Click here to see answer by Fombitz(13828)

 Question 163101: Find the slope, if it exists, of the line containing the pair of points. (1,7) and (9,-6) The slope m = _______ Click here to see answer by joecbaseball(37)

 Question 163100: - 1/6x = - 9/10 The solution is: _____ Click here to see answer by checkley77(12569)

 Question 163001: Please help. Given the following information, find the range. f(x)=2(x-3)^2 + 2 vertex is (3,2) What is the range? Click here to see answer by Fombitz(13828)

 Question 163107: The function H described by H(x)=2.75x+71.48 can be used to predict the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is x centimeters long. Predict the height of the woman whose humerus is 35 cm long. Click here to see answer by checkley77(12569)

 Question 163252: x=-1/2 f(x)=-1/2x+1 Click here to see answer by checkley77(12569)

 Question 163250: x=-1/2 h(x)=x-1/2 Click here to see answer by checkley77(12569)

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