Questions on Algebra: Linear Algebra (NOT Linear Equations) answered by real tutors!

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Question 125978: Okay, I've got one more, this one is also from a worksheet.
Solve the following system of linear inequalities by graphing.
x+2y is less than or equal to 3
2x-3y is less than or equal to 6
I think I've got the graphing but the shading is what confuses me, could you explain why the different areas are shaded they way they are? Thanks!

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Question 126052: solve the system by substitution method. if unique solutions doesn't exist, state whether the system is inconsistent or dependent.
5x+y=8 -4x-4y=-16

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Question 126068: solve the system by addition method. if unique solutions doesn't exist, state whether the system is inconsistent or dependent.
12x-15y=-33
-4x+5y=11

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Question 126265: A, B and C can finish a job in 6 days. If B and C work together, the job will take 9 days; if A and C work together it will take 8 days. In how many days can each man working alone do the job?
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Question 126635: Solve the following equations for the specified variable. Solve of F. C= 5F-160/9
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Question 126738: 11 years ago Hye was four times as old as her brother. In 1 year she will be twice as old as he is. What are their ages now?
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Question 127018: I NEED HELP FIGURING OTU HOW TO DO A LINEAR LINE AND HOW TO FIND THE SLOPE CAUSE I KNOW THAT Y=MX+B BUTI STILL DONT UNDERSTAND HOW TO FIGURE OUT THE EQUATIONS
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Question 127048: 3x+x-5

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Question 127364: Determine whether the given number is a zero of the polynomial function.
11) P(x) = 8x3 + 9x2 + x + 138; -3

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Question 127365: Find all of the real and imaginary zeros for the polynomial function.
12) f(x) = x3 - 2x2 - 25x + 50

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Question 127366: Find all of the real and imaginary roots, stating the multiplicity of each.
16) (x + 1)2(x - 1) = 0

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Question 127363: Find the line of symmetry of the given function.
6) y = x2 + 5

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Question 127524: y=-3x+4
y=x-4 how do u do that?

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Question 128140: 2a+5+5=20
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Question 128517:
THE QUESTION: GRAPH EACH LINEAR EQUATION USING THE SLOPE AND Y- INTERCEPT.
8X-3Y=9. PLEASE HELP ME. SO CONFUSED????

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Question 128713: i am having a very hard time grasping this concept
differentiate two ways: the product rule and then by multiplying the expression before differentiating. can you help me sto solve this problem step by step? thanks in advance
g(x)=(4x-3)(2x^2+3x+5)

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Question 128713: i am having a very hard time grasping this concept
differentiate two ways: the product rule and then by multiplying the expression before differentiating. can you help me sto solve this problem step by step? thanks in advance
g(x)=(4x-3)(2x^2+3x+5)

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Question 129104: 6x+3y=5
y=-2x+1

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Question 129727: n(n2-1n)+n(n-1) trying to help my daughter, no idea how to solve this. the 2 is n squared.
thanks for your help

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Question 129877: . Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
5x – 3y = 3

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Question 130096: Bryden got a job as a traffic helicopter pilot. She finds that with a tailwind, a 120km distance takes 45 minutes, but that the return trip (into the wind) takes 1 hour. What is the speed of the helicopter? What is the speed of the wind?
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Question 130096: Bryden got a job as a traffic helicopter pilot. She finds that with a tailwind, a 120km distance takes 45 minutes, but that the return trip (into the wind) takes 1 hour. What is the speed of the helicopter? What is the speed of the wind?
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Question 130095: Jules works part time at the bulk barn. She mixed one nut type selling at $2.20/kg with another selling at $2.40/kg. If 100kg were mixed and sold for $2.28/kg, how much of each type of nut mixture was used?
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Question 130051: I'm having trouble with this.....Thank you...
What multiplier should be used for each of the following equations to eliminate one unknown by subtraction?
3x - y = 7 2x + 7y = 42

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Question 130093: Pete won $10 000 in a lottery. He invested his winnings, part at 10% per annum and part at 11% per annum. If the total interest earned was %1060, how much was invested at each rate?
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Question 130364: simplify: (3x - 5)(2x+7)
thanks

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Question 130364: simplify: (3x - 5)(2x+7)
thanks

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Question 130416: I am stumped with the following problem:
A function gives the value of "c" as 2 x (22/7) x r. Find "c" when r=14 cm and r=70 cm. Please help if able.

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Question 130415: I am having problems with this problem:
Find f(1) for f(x)= x^3 + x^2 - 1

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Question 130396:
if -6(2x+1)=-4x+10, then x =

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Question 130441: if -6(2x+1)=-4x+10, then x =
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Question 130441: if -6(2x+1)=-4x+10, then x =
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Question 130907: I am having problems with solving and graphing the following problem. Can you Help?
1. Plot the graph of the equation 2x+4y=10 and 3x+6y=12 and interperet the result.

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Question 131059: Can you help set up and solve the following problem?
1. A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased by 75%. Find the number of boys and girls involved inthe projuect initially.

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Question 123745: could you please help me solve this problem?
3x-10y= -25
4x+40y=20
3x-10y= -25
4x+40y= 20
9x-30y= -75
4x+40y= 20
5x+10y= -105 I am lost at this point and I don't know what to do.

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Question 121389: If triangle FGH, the measure of angle G is three times that of angle F. The measure of angle H is 20 degrees more than that of angle F. Find the angle measure. Thank you
F+G+H=180

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Question 131117: Can you please help me solve the following equation?
A function gives the value of "c" as 2 x (22/7) x r. Find "c" when r =70.

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Question 131357: the question goes: has y-intercept 3 and slope -4
how do you do that??
the other question is:: contains (4,5) and (5,3)
thanks you!! :]

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Question 131367: hi im a freshman in high school and im having trouble with my homework. One of my problems is dealing with inequality.
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Question 132352: write an equation for the circle that satifies each set of conditions.
center (-1,-5), radius of

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Question 133224: I have been busting my head over a matrices problem where I need to find a pattern between the original square matrix (4, 2, 2, 4) and its exponential values.
The matrix squared is (20, 16, 16, 20) or 2(10, 8, 8, 10).
The matrix cubed is (112, 104, 104, 112) or 2(56, 52, 52, 56).
The matrix to the power of 4 is (656, 640, 640, 656) or 2(328, 320, 320, 328).
The matrix to the power of 5 is (3904, 3872, 3872, 3904) or 2(1952, 1936, 1936, 1952).
The matrix to the power of 7 is (140032, 139904, 139904, 140032) or 2(70016, 69952, 69952, 70016).
So far, what I have figured out is that the difference between the different elements in the matrices is always 2^n. As well, taking the original matrix, one can see that when k=3, the data inside the matrix is k+1 in two positions and k-1 in the other two. I can also factor out a 4 from each matrix, but that didn't seem to lead anywhere.
Can anyone help me with this emergency?
*Note: this question did not come from any textbook.

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Question 133560:
y=6x+5 5x-2y=9

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Question 135207: The vector v=[4 5] can be written as a linear combination of the vectors v1=[1 3] and v2=[4 -2] by letting c1=? and c2=?. Find c1 and c2 to solve.
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Question 135487: please help me solve the equation:
4x^2 + 2x - 20

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Question 135845: Tell wether the ordered pair is a solution of the linear system.
(1, -1);
2x - y = 3
4x + 2y =2, a simple yes or no would be suffice
Any straightfoward and correct help would be much obliged:)

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