Tutors Answer Your Questions about Linear-systems (FREE)
Question 873486: Two bicyclists are racing toward the finish line of a race. The first bicyclist has a 105 meter lead and is pedaling 12 meters per second. The second bicyclist is pedaling 15 meters per second. Graph the system of linear equations. How long will it take for the second bicyclist to pass the first? What distance does the second bicyclist travel?
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 874518: Hello there, I was hoping someone could help me work through the steps on this one.
I know the slope = -1/3 and the y intercept = 3 but I am just not sure how to get there. I think I'm missing something.
The problem is:
Find the slope and the y-intercept of the line x+3y=9
Thanks!
Click here to see answer by Fombitz(32388)  |
Question 875325: An electronics firm is planning
to market a new graphing calculator. The fixed costs are $650,000
and the variable costs are $47 per calculator. The wholesale price of
the calculator will be $63. For the company to make a profit, it is
clear that revenues must be greater than costs.
(A) How many calculators must be sold for the company to make a
profit?
(B) How many calculators must be sold for the company to break
even?
(C) Discuss the relationship between the results in parts A and B.
Click here to see answer by mananth(16946)  |
Question 875357: I am doing my end of course review for my final and I understand all of it except 2 questions both similar. I will place one of them below and hopefully with your help I will be able do the other one on my own. Thank you SOOO much in advance. -- Alex C
Problem-
Which of the linear systems has exactly one solution?
A) 5x + 3y = -22 B) 2x + 3y = 45
4x - 5y = 12 2y + 4/3x = 30
C) 2x - 3y = -15 D) x + y = 2
2/3x - y = 3 1/2x + 1/2y = 1
(Sorry for any typos I'm on my ipad)
Click here to see answer by mananth(16946) |
Question 877415: How do you know what to use to solve linear systems of equations? I've been doing problems online and they say what to use (addition, subtraction, make the left sides equal to each other etc.) but I haven't seen anything about why each way works for each problem.
For example:
Create a new equation by setting the left-hand sides of the equations equal to each other. y = 2x - 1 and 2y + x = 3.
How would you know that you can solve this, by making the left sides equal to each other (y = 2y + x), without being told to solve it that way?
Create a new equation by setting the left-hand side of the first equation equal to the right-hand side of the second equation. 2y = 2/5x - 3 and -24 = 4x + y.
How would you know that you can solve this by setting the left side of the first = to the right side of the second (2y = 4x + y)?
Click here to see answer by josgarithmetic(39617) |
Question 877488: Hello, my name is Alec. This homework problem has been stumping me.
I am given this matrix:
Matrix M = {{1,0,2},{-1,1,2},{-1,-1,2}}
Then asked to solve this equation:
M^3 + xM^2 + yM + zI = 0
I is the 3x3 identity matrix.
Any hints on how to get started would be appreciated! Thank you
Click here to see answer by rothauserc(4718)  |
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