Tutors Answer Your Questions about Linear-systems (FREE)
Question 1177148: The general representation of cubic equations is given by
ax³+bx²+cx+d=0.....(1)
and that of quartic equations is given by
ax⁴+bx³+cx²+dx+e=0....(2)
Construct(I)The cubic formula and the discrimant of (1)
(II)The quartic formula and the discriminant of (2)
Click here to see answer by ikleyn(52782)   |
Question 1177816: Joy invests a total of $3,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 5% loss in the same time period. At the end of one year, the total amount of money gained was $325.00. How much was invested into each account?
Click here to see answer by ikleyn(52782) |
Question 1177925: You are selling small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle fid you sell if the small candles are $4 and the large candles are $6 each? *Write a system of linear equations first, then solve.
Click here to see answer by josgarithmetic(39617) |
Question 1177924: You would like to join a gym and you are deciding between two places. “Lowes Lifts” has a sign-up fee of $10 and a monthly fee charge of $40. “Williscroft Workouts” charges $20 per month and has a sign-up fee of $50.
a. Write a system of linear equations to represent this situation.
Click here to see answer by Solver92311(821)  |
Question 1178360: Ann, Ben and Cathy have their birthdays today. The sum of their ages is 23. The product of their ages is 113 more than the product of their ages on their birthday last year. What is the sum of the squares of their ages?
Click here to see answer by ikleyn(52782) |
Question 1178360: Ann, Ben and Cathy have their birthdays today. The sum of their ages is 23. The product of their ages is 113 more than the product of their ages on their birthday last year. What is the sum of the squares of their ages?
Click here to see answer by mananth(16946)  |
Question 1178475: Suppose that the annual fee for a warehouse club
membership is $50 and that the reward rate on club purchases for the year is 1.6%.
Then the actual annual cost of a membership y, in dollars, for an amount of annual
club purchases x, in dollars, can be modeled by the following linear equation.
y = 50 - 0.016 x
(a) Determine the actual annual cost of the membership if club purchases for the
year are $1500.
(b) What amount of club purchases would reduce the actual annual cost of the membership
to $0?
(c) If club purchases for the year exceed $3125, how is the actual annual membership
cost affected?
Click here to see answer by ewatrrr(24785)  |
Question 1178363: The table of conversion from flat interest rate to reducing balance interest rate is based on the formula F= (1+R)^n (nR-1)+1/ n(1+R)^n-n, where F is the flat rate per month, R is the reducible rate per month and n is the number of monthly payments. To get the monthly rate, divide the annual rate by 12. Calculate the approximate flat interest rate for 8% per annum reducible for 3 years.
Click here to see answer by Theo(13342)  |
Question 1178572: Two rectangular prisms are constructed. One measures 4cm times 6cm times x cm and the other measures 3cm times 8cm times y cm where both x and y are integers. If they have equal surface area, what is the smallest possible value of x+y?
Click here to see answer by mananth(16946) |
Question 1178511: A plate made from a rectangular sheet of metal x metres by y metres has one corner "rounded" to a quadrant of a circle with radius r.
Show that r= 2* sqrt xy-A/4-pi, where A is the area of the "finished" plate, given that r>0.
Click here to see answer by mananth(16946) |
Question 1178653: An athletic director buys footballs, soccer balls, and softballs for their team.
- Each football is 4 times as much as each softball
- Each soccer ball is 10 dollars more than each football
- 10 footballs, 10 soccer balls, and 20 softballs total to a cost of 700 dollars.
**How much does each soccer ball cost?**
I came up with the equation 10x+10y+20z=700
x > football
y > soccer ball
z > softball
Click here to see answer by MathLover1(20850)  |
Question 1178653: An athletic director buys footballs, soccer balls, and softballs for their team.
- Each football is 4 times as much as each softball
- Each soccer ball is 10 dollars more than each football
- 10 footballs, 10 soccer balls, and 20 softballs total to a cost of 700 dollars.
**How much does each soccer ball cost?**
I came up with the equation 10x+10y+20z=700
x > football
y > soccer ball
z > softball
Click here to see answer by MathTherapy(10552)  |
Question 1178726: A large multiplex movie house has many theaters. The largest theater has 37 rows. There are 16 seats in the first row. Each row has seats more than the previous row. How many total seats are there in this theater?
Click here to see answer by ikleyn(52782) |
Question 1178725: A large multiplex movie house has many theaters. The largest theater has 37 rows. There are 16 seats in the first row. Each row has seats more than the previous row. How many total seats are there in this theater?
Click here to see answer by ikleyn(52782) |
Question 1178724: A large multiplex movie house has many theaters. The largest theater has 37 rows. There are 16 seats in the first row. Each row has seats more than the previous row. How many total seats are there in this theater?
Click here to see answer by ikleyn(52782) |
Question 1179096: Solve the following system of equations for the unknown variables.
3x + 3y = 3
-3x - 2z = -11
y + z = -1
so far i have
y=1-x
x=(2z-11)/-3
and z=-1-y
i cannot figure how to get these equations to solve for a single variable. I am used to problems that have all variables in at least two of the equations. each equation having only two variables has thrown me for a loop...
please help!
Thank you!
Click here to see answer by MathLover1(20850) |
Question 1179096: Solve the following system of equations for the unknown variables.
3x + 3y = 3
-3x - 2z = -11
y + z = -1
so far i have
y=1-x
x=(2z-11)/-3
and z=-1-y
i cannot figure how to get these equations to solve for a single variable. I am used to problems that have all variables in at least two of the equations. each equation having only two variables has thrown me for a loop...
please help!
Thank you!
Click here to see answer by mananth(16946) |
Question 1179096: Solve the following system of equations for the unknown variables.
3x + 3y = 3
-3x - 2z = -11
y + z = -1
so far i have
y=1-x
x=(2z-11)/-3
and z=-1-y
i cannot figure how to get these equations to solve for a single variable. I am used to problems that have all variables in at least two of the equations. each equation having only two variables has thrown me for a loop...
please help!
Thank you!
Click here to see answer by greenestamps(13200)  |
Question 1179096: Solve the following system of equations for the unknown variables.
3x + 3y = 3
-3x - 2z = -11
y + z = -1
so far i have
y=1-x
x=(2z-11)/-3
and z=-1-y
i cannot figure how to get these equations to solve for a single variable. I am used to problems that have all variables in at least two of the equations. each equation having only two variables has thrown me for a loop...
please help!
Thank you!
Click here to see answer by MathTherapy(10552) |
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