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

Tutors Answer Your Questions about Linear Algebra (FREE)

Question 160281: Simplify: (3x)^-2 / (3x)^-3
Click here to see answer by gonzo(654)

Question 160283: Multiply: [ (1/2)x+(1/3)] [(1/2)x-(1/4)]
Click here to see answer by nerdybill(7008)

Question 160282: Perform the operation: (3x^2+5x) - (2x^3+3x^2+10)

Click here to see answer by checkley77(12569)

Question 160337: How do you solve this problem by using elimination? 2x-y=-1
3x+2y=30
Click here to see answer by checkley77(12569)

Question 160386: On Sunday a coffee shop sold 115 lb of coffee. The amount of regular coffee sold was 5 lb more than the amount of decaffeinated coffee sold. There were twice as many pounds of flavored coffee sold than there was regular coffee sold.
a. Write an equation to solve for the amount of regular coffee sold.
b. Solve the equation from part a.
Click here to see answer by stanbon(57967)

Question 160480: f(x)=x^3. g(x)=(sq. root of)x. h(x)=x-4. and j(x)=2x. If k(x)=(sq. root of x^3-4), Express k(x) as a composite of three of the four functions listed. Please explain how you arrived at your solution! I'm begging for help!!!
Click here to see answer by scott8148(6628)

Question 160622: The sum of two numbers is 146. Find the two numbers if the larger one is 7 less than twice the smaller
Click here to see answer by jojo14344(1512)

Question 160662: A quater is about 6.89 * 10^-2 inches thick. A quarter has a diameter that is about 13.9 times its thickness. Estimate the diameter of a quarter in inches.
Write your answer in scientific notation. Explain whether you think the magnitude of your answer seems reasonable.
Click here to see answer by checkley77(12569)

Question 160699: Use the elimination method to solve the system.
.18f-.3g=3
.15g-.9f=-5.55
Click here to see answer by checkley77(12569)

Question 160700: Use elimination method to solve the system.
-4x+4y-2z=-8
-3x-y+4z=0
2x-2y+3z=-4
Click here to see answer by ankor@dixie-net.com(15746)

Question 160842: I don't understand this equations of lines
x=6, y=-8
Click here to see answer by gonzo(654)

Question 161339: I have to find the marginal revenue. So I have to multiply the units sold ( q ) by the price per unit ( ( 5+3q ) divided by (3+q ).
so R(q)= (q)*((5+3q)/(3+q)). What does it do ?

Click here to see answer by stanbon(57967)

Question 161406: Please Help!!
Define a variable and write an inequality. Then solve. Alocal summer baseball team plays 20 games each season. So far, they have won 9 games and lost 2. How many more games must they win this season to win at least 75% of all their games?
This is a worksheet.
Thanks
Click here to see answer by checkley77(12569)

Question 161591: In finding the diagonal of a 30x30 building the answer 42.43
is that 42feet,4.3 inches?
Rick
Click here to see answer by Alan3354(31528)

Question 161591: In finding the diagonal of a 30x30 building the answer 42.43
is that 42feet,4.3 inches?
Rick
Click here to see answer by checkley77(12569)

Question 162086: how do you solve each system by graphing:
{2x-2y=4 and y-x=6}
Click here to see answer by elima(1433)

Question 160791: If a line passes through (3,-1) and is perpendicular to the graph of y=(-1/3)x-4,what would the slope-intercept form be?
Click here to see answer by Alan3354(31528)

Question 162175: solve by subtitution:
1/5x + 1/2y = 8
x +y = 20
solve by subtitution:
6x + 5y = -3
-x - 5/6y = -7

Click here to see answer by checkley77(12569)

Question 162095: Please help me solve this equation: Solve the equation by comleting the square.
x^+4x=1
Click here to see answer by edjones(7569)

Question 162132: Can you help me with the following question?
Solve each system by elimination. Check your answers. #4
{a+b+c=-3
{ 3b-c=4
{2a-b-2c=-5
Click here to see answer by ankor@dixie-net.com(15746)

Question 162605: If you could please help me I have four equations that i have to solve for w, x, y, and z. You had people ask about the three equations with three variables, but this one is a little tougher. The problem is:
2w-x+5y+z=-3
3w+2x+2y-6z=-32
w+3x+3y-z=-47
5w-2x-3y+3z=49
If you could please help me, I would GREATLY appreciate it.

Click here to see answer by stanbon(57967)

Question 162974: Solve each system by elimination
3m+4n= -13
3m+6m= -19

Click here to see answer by checkley77(12569)

Question 162932: what is the solution set for
3(x+3) less than or equal to 5x-5
Click here to see answer by checkley77(12569)

Question 162933: how would i graph this inequality
x+2y<2
Click here to see answer by elima(1433)

Question 162919: solve. 2-x/5+1=x/3

Click here to see answer by checkley77(12569)

Question 162972: Solve each system by elimination
6x-2y=11
-9+3y=16
Click here to see answer by checkley77(12569)

Question 162970: Solve each system by elimination
3x+2y=6
3x+3=y

Click here to see answer by soar(1)

Question 158410: 2(4-2r)=-2(r+5)
Click here to see answer by consc198(59)

Question 163239: How would you find the maximum and minimum values, if they exist, of the objective function for the given constraints?:
P=5y+3x
Constraints:
x+y<6
x-y<4
x>0
y>0

Thank you!!!
Click here to see answer by Fombitz(13828)

Question 163304: x(x-2)=4
Click here to see answer by jojo14344(1512)

Question 163304: x(x-2)=4
Click here to see answer by Fombitz(13828)

Question 163356: How would you solve the following problem?:
A tourist agency can sell up to 1200 travel packages for a football game. The package includes airfare, weekend accomodations, and the choice of two types of flights: a nonstop flight or a two-step flight. The nonstop flight can carry up to 150 passengers and the two stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with a nonstop flight sells for $1200, each package with a two stop flight sells for $900. Assume that each plane will carry the maximum amount of passengers.
A. Write a system of linear equalities to represent the constraints.
B.Graph the feasible region.
C.Write an objective function that maximizes the revenue for the tourist agency, and find the maximum revenue for the given constraints.
Click here to see answer by ankor@dixie-net.com(15746)

Question 163534: this is a question on 3x3 systems
i need 3 seperate problems for this one question which is:
The sum of three numbers is 57. The second is 3 more than the first. The third is 6 more than the first. Find the numbers. I have no idea how to set this up. Please help. thank you.

Click here to see answer by Fombitz(13828)

Question 163703: It costs Ave Electronics Company $1900 to manufacture to 10 VCRs and $2200 to manufacture 16 VCRs. At this rate, what would be the cost of manufacturing 25 VCRS?
Click here to see answer by checkley77(12569)

Question 163717: 3. The points (3, 9), (5, 13), (15, 33), (34, 71), (678, 1359), and (1234, 2471) all lie on line M.
The points (3, -9), (5, -11), (15, -21), (34, -40), (678, -684), and (1234, -1240) all lie on line N.
a. Form the equations of both the lines. Show your work.
b. What are the co-ordinates of the point of intersection of lines M and N?
c. Write the co-ordinates of the intersections of lines M and N with the x-axis.
d. Write the co-ordinates of the intersection of lines M and N with the y-axis.

Click here to see answer by checkley77(12569)

Question 163867: this is a method of elimination
A-2B=16
B+3=3A

Click here to see answer by Fombitz(13828)

Question 163928: Please help! I am trying to solve this question on my homework and do not know where to begin. Any assistance you can provide is greatly appreciated!!!
Write an equation for a function that has the shape of y=x^3 but is shifted right 4 units and up one unit.

Click here to see answer by stanbon(57967)

Question 163927: Please help me solve the following problem:
It costs $28.95 per day plus $0.15 per mile to rent a car. How much is charged for renting the car for one day and driving 220 miles?

Click here to see answer by stanbon(57967)

Question 164188: Solve By completing the square: x^2-4x-2=0 show work
Click here to see answer by Fombitz(13828)

Question 164349: Given functions f(x)=3x-4, g(x)=2x^2-7, h(x)=square root of x+5
Find (f o g)(x)=
Find (h o f)(x)=
Evaluate (g o f)(-2)=
I really need this tonight - I've been out and missed this in class. Thank you very much for taking the time to help. I believe I know how to do this but am not real confident of my answers and really need to do well on this quiz. I will be working on the other problems I do know how to do.
Click here to see answer by scott8148(6628)

Question 164302: Graph the linear system and estimate the solution. Then check the solution algebraically.
x+2y=9
-x+6y=-1

thanks in advance
Click here to see answer by Fombitz(13828)

Question 164697: A tourist agency can sell up to 1200 travel packages for a football game. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers, and the two-stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with a nonstop flight sells for $1200, and each package with a two-stop flight sells for $900. Assume that each plane will carry the maximum number of passengers.

a. Write a system of linear inequalities to represent the constraints.
b. Graph the feasible region.
c. Write the objective function that maximizes the revenue for the tourist agency.
d. Find the maximum revenue.

------------------------------------------------------------------------
I need help with parts a and c.
Click here to see answer by ankor@dixie-net.com(15746)

Question 164711: solve the indicial equation -- 5^x = 3^(x+1)
Click here to see answer by Edwin McCravy(8999)

Question 164800: Please help me solve this equation:
x+2y+3z=6
y+2z=0
z=2
can you do this by substitution please.
thank you!>
Click here to see answer by Mathtut(3670)

Question 164842: As a homework problem, I am to construct a steel building 600 cu meters in size. My goal is to do it at the cheapest cost.
Bldg: W X L X H = 600 cu meters
Beams: $20W + $30L + $50H = Total Cost
I believe I have 4 unknowns, but I don't know how to set up the problem. Any help would be appreciated. THANK YOU!
Click here to see answer by MRperkins(300)

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