95 Answered Questions for the topic linear systems

10/16/19

#### Determining the type of triangle given 3 lines

Determine the type of triangle that is formed by the lines x+y=11, x-y=1 and x-3y=3. Justify your decision?

06/14/19

#### each womens washroom uses an average of 1304 rolls of toilet paper and 47 rolls of paper towel per day, which costs a total of $51.34 per day. write an equation to model the information?

each womens washroom uses an average of 1304 rolls of toilet paper and 47 rolls of paper towel per day, which costs a total of $51.34 per day. Each men's washroom uses an average of 540 rolls of...
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02/19/19

#### Word problems using linear systems

The Clarke’s son suggests that they rent a car that costs $250 for the week plus $0.20/km. Their daughter does not want to drive far, so she suggests a car that is only $96 for the week but...
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09/24/18

#### you are making 100 L of 48% alcohol solution by mixing 40% alcohol and 60% alcohol. how many litres of each must be used?

you need to know how many litres of 40% alcohol and 60% alcohol must be used.

09/21/18

#### Two different kinds of coffee beans are blended individually, they cost $4.60/kg and $6.40/kg How much of each kind was used if 400kg of the mixture cost $6/kg?

Don't solve the linear system. Just, write let statements and the equations.

07/30/18

#### How to determine whether T is linearly independent ? Justify your answer please.

Let S={X1,X2,X3} be a linearly independent set of vectors in R^3. How to determine whether T={2X1 + X2 - 2X3,4X1+ 3X2,3X1 + 2X2 - X3} is linearly independent. Justify your answer please.

07/27/18

#### Is this True or False ? Justify please

If X1,X2 and X3 are vectors in R3 such that {X1,X2} and {X1,X3} are linearly independent sets, then {X1,X2,X3} is a linearly independent set.

07/27/18

#### Please help me find the matrix X. Justify your answer please.

2 1 0 1 0 1Let A = [ 1 0 1 ] and B = [ 2 0 1 ] 0 3 0 0 1 1 Find the matrix X such that (2X + A)-1 = B.

07/27/18

#### I want to solve this, i need help. Justify your answer please.

Consider the linear system:
x - 2y + 3z = 4
2x - 3y + az = 5
3x - 4y + 5z = b
For which values of a and b does the linear system have
a) no solution,
b) a unique solution,
c) infinitely...
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07/26/18

#### Linear Systems

Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. CDs pay 4.25 % interest, bonds pay 3.3 % interest, and stocks pay 11.3 % interest....
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07/25/18

#### Word Problem Linear Systems

The cost of a ticket to the circus is $19.00 for children and $34.00 for adults. On a certain day, attendance at the circus was 500 and the total gate revenue was $14,000. How many children and how...
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07/25/18

#### Linear Systems question

Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. CDs pay 4.25 % interest, bonds pay 3.3 % interest, and stocks pay 11.3 % interest....
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05/14/18

#### How many birds were at the shelter on Monday?

An animal shelter spends $4.50 per day to care for each bird and $8.50 per day to care for each cat. Dominic noticed that the shelter spent $175.00 caring for birds and cats on Monday. Dominic...
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03/25/18

#### Differential Equation Question

How would I write this in matrix form (x' = AX)
x' = x
y' = y
Note: Is it supposed to be like this: x' = (1 v 1)(x v y) or x' = (1 + 0 v 1 + 0)(x v y)? Note: the "v" means the value after...
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03/14/18

#### What are the solutions of the system?

What are the solutions of the system?{y=2x + 6
y=x^2 + 5x +6
A. (−3, 0) and (−2, 0)B. (0, −3) and (6, 0)C. (0, 6) and (−2, 0)D. (−3, 0) and (0, 6)

01/18/18

#### Linear system equation in description.

A store sells a 1-L can of paint for $9.60 and a 4-L can of paint for $20.80. The store has 140 cans of paint, for a total selling price of $2206.40. Write a linear system that models the situation.

01/17/18

#### Determine the cost of one desk and one chalkboard

35 desks and 3 chalkboards cost $2082
40 desks and 2 chalkboards cost $2238

01/17/18

#### Determine the cost of one desk and one chalkboard

35 desks and 3 chalkboards cost $2082
40 desks and 2 chalkboards cost $2238

01/17/18

#### Determine the cost of one chalkboard and one desk

35 desks and 3 chalkboards cost $2082
40 desks and 2 chalkboards cost $2238

12/06/17

#### Last year, Milan had $20,000 to invest. He invested some of it in an account that paid 10% simple interest per year, and he invested the rest in an account that

Problem PageLast year, Milan had $20,000 to invest. He invested some of it in an account that paid 10% simple interest per year, and he invested the rest in an account that paid 5% simple interest...
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10/19/17

#### a textbook store...

A textbook store sold a combined total of 304 biology and psychology textbooks in a week. The number of biology textbooks sold was three times the number of psychology textbooks sold. How many...
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10/02/17

#### Susan is twice as old as her brother. Five years ago Susan was 3 times as old as her brother. Find her age.

Susan is twice as old as her brother. Five years ago Susan was 3 times as old as her brother. Find her age.

09/29/17

#### Applications of Linear Systems

A financial planner wants to invest $8000, some in stocks earning 15% annually and the rest in bonds earning 6% annually. How much should be invested at each rate to get a return of $930 annually...
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09/29/17

#### Applications of Linear Systems

Kerry asked a bank teller to cash a $390 check using $20 bills and $50 bills. If the teller gave her a total of 15 bills, how many of each type of bill did she receive?

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