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

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Question 316864: a pool measuring 20 meters by 30 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 1344 sqaure meters, what is the width of the path?
Click here to see answer by palanisamy(496)

Question 317124: Find a system of two linear equations in the variables x1, x2, and x3 whose solution set is given by the parametric equations x1 = t, x2 = 1 + t, and x3 = 2 � t.

Click here to see answer by Fombitz(32388)

Question 317184: Find the mean for the following data. Round to the nearest hundredth.
Valve Frequency
1 5
3 8
5 10
7 3
9 4
Click here to see answer by Fombitz(32388)

Question 317370: The initil tableau of a linear programming problem is given below. Use the simplex method to solve.

Click here to see answer by Edwin McCravy(20054)

Question 317708: I can use some help in solving this linear equation. I have tried many different solution and continue to come up with different answers based on the LCM used. Here is the question.
Solve by the addition method if possible
3*x+9*y +9
-x+5*y=-3
Click here to see answer by Earlsdon(6294)

Question 318137: What is the solution to:
(6x^2-24)/(6x^2-12)
Click here to see answer by edjones(8007)

Question 318447: John made a rectangle pen for his dog using 28 feet of fencing. If the width of the pen is 2 feet more than one-half the length, what is the length and width of the pen?
Click here to see answer by rfer(16322)

Question 318446: One number is 6 more than twice another. If their sum is 51, find the numbers.
Click here to see answer by rfer(16322)

Question 318483: -4x+4y=4
Click here to see answer by Fombitz(32388)

Question 318927: Find the value of k so that the ordered pair satisfies the equation:
3x - y = k; (1,3)

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Question 318926: Complete the ordered pair to solve: -x + 4y = 9; (-1, ___ )
Click here to see answer by rfer(16322)

Question 318925: The domain of x is {-1, 0, 2}. Solve the equation:
-2x + y = -3

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Question 318928: Solve the equation if the variables represent whole numbers:
5x + 2y = 30

Click here to see answer by Fombitz(32388)

Question 318938: Can you please help me with these?
Factor, if possible. (If not possible, enter PRIME.)
y^4-256
and
Factor, if possible. (If not possible, enter PRIME.)
3u^2-12
Andy
Click here to see answer by dabanfield(803)

Question 318932: Find the value of k so that the line has slope m:
6x + ky = 10 and m = -2

Click here to see answer by dabanfield(803)

Question 318942: Can someone please help me with a homework question?
Factor, if possible. (If not possible, enter PRIME.)
t^3+8
Andy
Click here to see answer by Earlsdon(6294)

Question 318943: Solve the following system of equations:
3x + 2y =4
2x - 5y = -29

Click here to see answer by Fombitz(32388)

Question 318933: Find the value of k so that the line has slope m:
(k + 1)x + 2y = 6 and m = -
1
3

Click here to see answer by Fombitz(32388)

Question 318962: An airplane flies 840 mi in 3 hours with a tail wind. The return trip at the same airspeed takes 3.5 hours. Find the wind speed and the airspeed.
Click here to see answer by Fombitz(32388)

Question 319048: f(x) = 12x - 7

g(x) = -8x + 15
Find f(2) + g(4)

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Question 319054: Can you find the coordinates of B given A(3,8) and M(5,4)?
M is the midpoint of.
Graph:
A-----M-----B

Click here to see answer by Edwin McCravy(20054)

Question 319047: f(x) = -3x + 9

g(x) = 8x + 7
Find f(x) + g(x)

Click here to see answer by checkley77(12844)

Question 319242: saidhari bought a toaster oven for $105. this price was 1/4 off the list price.
what was the list price?
Click here to see answer by josmiceli(19441)

Question 319240: celeste wants to have her hair cut and permed and also go to lunch. she knows she will need $50 the perm cost twice as much as her haircut and she need $5 for her lunch.
how much does the perm cost?
Click here to see answer by josmiceli(19441)

Question 319239: the perimeter of a rectangle is twice the sum of its length and its width. the perimeter is 46 meters and its length is 2 meters more than twice its width.
what is its length?
Click here to see answer by mananth(16946)

Question 319243: the ratio of man to women in a certain factory is 3 to 4. there are 216 men
how many workers are there?
Click here to see answer by Fombitz(32388)

Question 319363: i have tried these so many times and I just cannot get them please help!
9. Find f(�2) for f(x) = �x3 � 2x2 + 7x + 1.
1. �1
2. �6
3. �13
4. �29
10. Identify the factors of the polynomial x3 + x2 � 14x � 24.
1. (x � 2)(x + 2)(x + 6)
2. (x + 2)(x + 3)(x � 4)
3. (x + 1)(x � 3)(x + 8)
4. (x � 1)(x + 4)(x + 6)
11. Identify all rational zeros of the polynomial function f(x) = x3 + 2x2 � 5x � 6.
1. �1, 2, �3
2. �1, �2, 3
3. 1, �2, �3
4. 1, 2, 3
12. Identify all zeros of the polynomial function f(x) = x4 � 9x3 + 24x2 � 6x � 40.
1. �2, 4, 1 � i, 1 + i
2. �2, 4, 2 � i, 2 + i
3. �1, 4, 2 � i, 2 + i
4. �1, 4, 3 � i, 3 + i
13. Find f(g(�2)) if f(x) = 4x + 5 and g(x) = x2 � 1.
1. 8
2. 17
3. 12
4. 21

Click here to see answer by Alan3354(69443)

Question 319364: I have been trying to do these over and over I just can't seem to get them. Your help would be awesome. thankyou! sorry theres so many but please help!
Find f(g(�2)) if f(x) = 4x + 5 and g(x) = x2 � 1.
a. 8
b. 17
c. 12
d. 21

Identify the inverse of the function f(x) = �7x + 2.

Find the equations of the vertical and horizontal asymptotes for the graph of the rational function with the following equation.
f(x)= 4/(x - 1)(x + 5)
a.x = 1, x = �5, y = 1
b. x = 1, x = �5, y = 0
c. x = �1, x = 5, y = 1
d. x = �1, x = 5, y = 0

If y varies inversely with x, and y = 6 when x = 18, find y when x = 8.
a. 13 �
b. 2 ⅔
c. 12
d. 24

If y varies jointly as x and z, and y = 60 when x = 10 and z = �3, find y when x = 8 and z = 15.
a. �240
b. �120
c. �15
d. �9.6

Solve the following equation.
(2x + 1)/(x^2 - 25) - 1/(x - 5)= (x^2 - 4)/(x^2 - 25)
a. no solution
b. �2
c. 3
d. 3, �2

Chase can do a job in 4 hours, while Campbell can do the same job in 2 hours. How long will it take the two of them to do the job together?
a. 6 hours
b. 3 hours
c. 2 ⅔ hours
d. 1 ⅓ hours

Solve the equation 4(x + 2) = 8(x � 1).
a. 4
b. 5
c. 7
d. 8

Solve the equation log8 (x2 + 4x) = log8 12.
a. 2
b. 6
c. �2, 6
d. 2, �6

Solve the equation log2 3 = log2 (7x � 8) � log2 x.
a. no solution
b. 1
c. 2
d. 4

Find the antilogarithm of 1.7.
a..2304
b. .5306
c. 5.47
d. 50.12

Solve the equation ln x = 2. Round the answer to four decimal places.
a. 7.3891
b. .3010
c. .6931
d. 100

Solve the equation 8(x � 2) = 5x. Round the answer to three decimal places.
a. 9.578
b. 8.850
c. 5.293
d. 6.147

Click here to see answer by solver91311(24713)

Question 319771: what is the answer to this equition: 2x+y=10
3x-2y=8
________
Click here to see answer by mananth(16946)

Question 320560: if y=1/3 and x=-18, find why.
Click here to see answer by jim_thompson5910(35256)

Question 321030: A steady current of 1 ampere flowing through a solution of silver nitrate will deposit 1.12 x 10-3 grams of silver in 1 second. How much silver will be deposited by 12.0 amperes in one hour? Write your answer with three significant digits.
Click here to see answer by ankor@dixie-net.com(22740)

Question 321027: The estimated masses of a proton and an electron are 1.67 x 10-24 grams and 9.11 x 10-28 grams, respectively. Find the ratio to three significant digits of the mass of the proton to the mass of the electron.
Click here to see answer by ankor@dixie-net.com(22740)

Question 321316: Write the linear equation 5x - 2y = -8 in slope-intercept form.
Find the y-intercept of the line whose equation is 3x + 2y = 11.
Click here to see answer by jim_thompson5910(35256)

Question 322255: Hi;
Can you help me with this problem?
Solve the inequality for 5x+7>or= 4/3x - 1.
Thank you for your help!

Click here to see answer by stanbon(75887)

Question 322224: Find the value of 8u-2 given that -7u-5=9
Click here to see answer by Fombitz(32388)

Question 322970: 3(2x-5)-x=-7(x+3)
Click here to see answer by Jk22(389)

Question 321114: 4(x-13)+8 > 11x - 2
need a solution to the inequality
Click here to see answer by Jk22(389)

Question 322969: How do you solve 3=2p+5
Click here to see answer by Jk22(389)

Question 322561: The domain of x is {-1, 0, 2}. Solve the equation: -2x + y = -3
Click here to see answer by Jk22(389)

Question 317960: solve 10x^3+20x^2= -6x^3+6x
Click here to see answer by Jk22(389)

Question 323008: Assume that x,y,z and b are positive numbers Use the properties of logarithms to write each expression in terms of logarithms of x,y and z
log[b]3xz
Click here to see answer by Fombitz(32388)

Question 323435: two angles are complementary. one angle is 3 degrees less than twice the other. find the measure of each angle?
Click here to see answer by checkley77(12844)

Question 323430: Mrs Stuart invested part of $4200 at 7% and the rest at 7.5%. If her total annual income from these investments was $306, how much did she invest at each rate?
Click here to see answer by checkley77(12844)

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