Tutors Answer Your Questions about Systems-of-equations (FREE)
Question 1062359: The system of equations I need to solve is:
7x - 8y = 24
xy^2 = 1
In the second, it's not (xy)^2, but just the y is squared. I get to substitution and replace y in the second equation with y = (7/8)x + 3 and end up with (23/32)x^3 + (21/4)x^2 + 9x - 1 = 0. My professor warned that this problem is pure evil and said at this point I would need to use rational root theorem and that there IS a rational root. Issue is I don't know how to find a rational root from a fraction as a leading coefficient (23/32).... Unless I screwed up before that and that's not what I'm looking at.
Any help to get me beyond this point will be greatly appreciated.
Click here to see answer by Alan3354(69443)   |
Question 1062359: The system of equations I need to solve is:
7x - 8y = 24
xy^2 = 1
In the second, it's not (xy)^2, but just the y is squared. I get to substitution and replace y in the second equation with y = (7/8)x + 3 and end up with (23/32)x^3 + (21/4)x^2 + 9x - 1 = 0. My professor warned that this problem is pure evil and said at this point I would need to use rational root theorem and that there IS a rational root. Issue is I don't know how to find a rational root from a fraction as a leading coefficient (23/32).... Unless I screwed up before that and that's not what I'm looking at.
Any help to get me beyond this point will be greatly appreciated.
Click here to see answer by MathTherapy(10551)  |
Question 1062395: I am trying to figure how to find part of answer to this non-linear system:
(X+1)^2 - (y-1)^2 = 20
X^2 - (y+2)^2 = 24
I used elimination to end up with the answers of y = 1/2 and x = -11/2.
This has been confirmed via graphing. Problem is there is another common point of 5,-3, but I cannot figure out how to come do it algebraically. Any help would be appreciated. Thank you!
Click here to see answer by ikleyn(52775)  |
Question 1062781: The Celluloid Cinema sold 150 tickets to a movoe. Some of these were child tickets and the rest were adult tickets. A child ticket cost $7.75 and an adult ticket cost $10.25. If the cinema sold $1470 worth of tickets, which system f equation could be used to determine how many adult tickets, a, and how many child tickets c, were sold?
Click here to see answer by josmiceli(19441)  |
Question 1062995: Carla and Benicio work in a men's clothing store. They earn commission from each suit and each pair of shoes they sell. For selling 3 suits and one pair of shoes, Carla has earned $47 in commission. For selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission. How much do the salespeople earn for commission for the sale of a suit? for the sale if a pair of shoes? Write a system of equation to represent situation. Then, solve by the system by substitution.
I have been working on this for 2 hours and I still can't figure it out, please help me.
Click here to see answer by stanbon(75887) |
Question 1062995: Carla and Benicio work in a men's clothing store. They earn commission from each suit and each pair of shoes they sell. For selling 3 suits and one pair of shoes, Carla has earned $47 in commission. For selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission. How much do the salespeople earn for commission for the sale of a suit? for the sale if a pair of shoes? Write a system of equation to represent situation. Then, solve by the system by substitution.
I have been working on this for 2 hours and I still can't figure it out, please help me.
Click here to see answer by MathTherapy(10551) |
Question 1063225: your friend bought a total of 8 pounds of sliced turkey and sliced ham for a party. the total cost was $28.50. how much of each type of meat did your friend buy. Use the data from the sign to help you write the equations.
Click here to see answer by ikleyn(52775) |
Question 1063870: furniture shop refinishes cabinets. Employees use two methods to refinish cabinets. Method I takes 1.5 hours and the material costs $9. Method II takes 2.5 hours, and the material costs $5. Next week, they plan to spend 252 hours in labor and $972 in material for refinishing cabinets. How many cabinets should they plan to refinish with each method?
Click here to see answer by Fombitz(32388)  |
Question 1067069: mike and shawna each improved their yard by planting rose bushes and shrubs. they bought their supplies from the same store, mike spent $92 on 4 rose bushes and 14 shrubs. shawna spent $100 on 8 rose brushes and 14 shrubs. find the cost of one rose bush and the cost for one shrub.
Click here to see answer by Boreal(15235)  |
Question 1067837: Flying to Berlin with a tailwind, a plane averages 174 km/h. On the return trip, the plane averages 132 km/h while flying back into the same wind. find the speed of the wind and the speed of the plane in still air.
Click here to see answer by ikleyn(52775) |
Question 1068293: Determine analytically if the following functions are even, odd or neither. Check the symmetry of the function by comparing the functions for symmetry about y-axis and symmetry about origin and confirm why the function is neither odd nor even.
Show work
f(x)=x^3+x^2+x+1
Click here to see answer by Fombitz(32388) |
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