Questions on Algebra: Matrices, determinant, Cramer rule answered by real tutors!

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Question 44238This question is from textbook College Algebra
: Solve each system by substitution. Determine whether each system is independent, inconsistent, or dependent
3x - 2y = 7
-3x + y = 5
This question is from textbook College Algebra

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Question 44233This question is from textbook College Algebra
: Solve each system by substitution. Determine whether each system is independent, inconsistent, or dependent
5x - 6y = 32
x = 6 - 3y
This question is from textbook College Algebra

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Question 44541: Hi, I need to find the line passing through (1,42) and (17,314) using Gaussian Elimination. I think that is using matrices.
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Question 44746This question is from textbook College Algebra
: Solve each system in three variables using Gaussian elimination. State whether each system is independent, dependent, or inconsistent.
x - y + z = 2
-x + y + z = 4
-x + z = 2
This question is from textbook College Algebra

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Question 44742This question is from textbook College Algebra
: Solve each system using Gaussian elimination. State whether each system is independent, inconsistent, or dependent.This question is from textbook College Algebra

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Question 44742This question is from textbook College Algebra
: Solve each system using Gaussian elimination. State whether each system is independent, inconsistent, or dependent.This question is from textbook College Algebra

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Question 44744This question is from textbook College algebra
: Solve each system using Gaussian elimination. State whether each system is independent, dependent, or inconsistent.
2x - 3y = -1
3x - 2y = 1
This question is from textbook College algebra

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Question 44740This question is from textbook College Algebra
: Solve each system using Gaussian elimination. State whether each system is independent, dependent, or inconsistent.
x - y = 2
3x - y =12
This question is from textbook College Algebra

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Question 44943: I have asked this question before but may not have written it properly. Can someone please help?
Solve the matrix equation:
|4-5||m|=|32|
|1 2||n|=|-5|

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Question 45394This question is from textbook College Algebra
: Solve each system of equations by using A^-1. Note that the matrix of coefficients in each system is a matrix from exercises 23-44.
x + 4y = 5
3x + 8y = 7
This question is from textbook College Algebra

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Question 45392This question is from textbook College Algebra
: Find the inverse of each matrix A if possible. Check that AA^-1=I and A^-1 A=I.
[1 -1 2]
[1 2 3]
[2 1 5]
This question is from textbook College Algebra

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Question 45432This question is from textbook Finite math
: The elements in the set {x x is an integer less the 5}. My answer is 1,2,3,and4. Is this right. I know this is a easy one but I would like o make sure. Thanks for any help given.This question is from textbook Finite math

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Question 45444This question is from textbook Finite math
: For sets A and B, n(A union B) = 48,n(A)=35, and n(A intersection B)=12. Find n(B). My answer is 13 but I'm not sure. Thanks for checking.This question is from textbook Finite math

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Question 45442This question is from textbook Finite math
: U = {a,b,c,d,e,f,g,h}, A = {b,c,d}, A'=
My answer is {a,e,f,g,h} Thanks for checking my answer.
This question is from textbook Finite math

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Question 45437This question is from textbook Finite math
: Find A intersection B where
A={x x is an integer that is a multiple of 3
B={x x is an integer that is a multiple of 7
My answer is {x x is an integer that is a multiple of 21} Thanks so much for looking over my answer.
This question is from textbook Finite math

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Question 46069This question is from textbook Finite math
: The augmented matrix for the system of equations below is
3x-2y=5
4x+7y=2
My answer is
3 -2 5
4 7 2 thanks for chcking.
This question is from textbook Finite math

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Question 46526This question is from textbook Finite Mathematics
: The following matrix is obtained from a system of equations
1 0 6 5
0 1 -4 3
0 0 2 -6 The solution to the system is
My answer is no solution after using Excel. thanks for looking at this problem.
This question is from textbook Finite Mathematics

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Question 46727This question is from textbook Finite Mathematics
: For the input-output matrix A, find the output required to meet the demand D.
A= 0.2 0.4, D= 700,400.
0.3 0.6,
My answer is 200,150. is this rigth. thanks for checking as always.
This question is from textbook Finite Mathematics

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Question 47337: Solve using Cramer's Rule.
-2x + 3y = 16
4x = -3y + 40

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Question 47339: Solve using Cramer's Rule.
7x + 6z = 48
4x + 6y + 6z = 42
8x - 8y = 32

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Question 47668This question is from textbook College Algebra
: Please , I need help with this one.
Evaluate the indicated minor and cofactor for the determinant

3 -2 3
1 3 0
6 -2 3 M23, C23
How will I know which row and column to delete? What does 23 signifies?
This question is from textbook College Algebra

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Question 47751: I am having trouble finding the determinant on a 4x4 matrix/Triangular Form. Please explain...
4 0 3 -2
3 1 2 -1
1 -6 -2 2 D = 39
2 2 0 -1
I tried exchanging Rows 3 and 4 over 1 and 2 but I can't get the 39. What should I remember when dealing with this form? Thanks a lot.

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Question 48433: find the inverse of the matrix.
[-9 5]
[6 -3]
note -the numbers are suppossed to be in one big bracket,not separate brackets

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Question 48455: Please lend me a helping hand. I would really appreciate your help and may God bless you for your continued services.
1)What are the factors of x3 + 6x2 - x - 30?
a. (x + 1)(x - 2)(x + 15)
b. (x + 1)(x + 3)(x - 10)
c. (x - 2)(x + 3)(x + 5)
d. (x - 1)(x + 5)(x + 6)
2)What are all the possible rational zeros for f(x) = x3 + 8x + 6?
a. +1, +6
b. +1, +2, +6
c. +1, +2, +3, +6
d. +1, +2, +3, +6, +12
3)What are all the possible rational zeros for f(x) = 6x3 + 6x2 - 15x - 2?
a. +1, +2, +1/2, +1/3, +2/3, +1/6
b. +1, +2, +1/3, +2/3
c. +1, +2, +3,
d. +1, +2, +3, +6,
4)Identify all rational zeros for f(x) = x3 + 4x2 - 3x - 18.
a. 1, -3, -6
b. -1, 2, -9
c. 2, -3, -3
d. -1, -3, 6
5)Identify all the rational zeros for f(x) = x3 - x2 - 8x + 12.
a. 2, 2, -3
b. 2, -2, 3
c. -1, 3, 4
d. 1, -3, 4
6)Identify all the rational zeros for f(x) = x3 + 4x2 - 2x + 15.
a. 1
b. 3
c. -5
d. 1, 3, -5
7)
How many positive real zeros does the funtion f(x) = x4 + x3 - 7x - 1 have?
a. 3 or 1
b. 1
c. 2 or 0
d. 0
8)How many negative real zeros does the function f(x) = x5 + x4 - x2 - x + 1 have?
a. 4, 2, or 0
b. 3
c. 2 or 0
d. 3 or 1

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Question 48440: using the five step method .the sum of a number and its reciprocal is 10/3.what is the number? please show step one through 5. thanks
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Question 48491This question is from textbook College Algebra
: The system of linear equations has a unique solution. Find the solution using Gaussian elimination or Gauss-Jordan elimination.
x + y + 6z = 3
x + y + 3z = 3
x + 2y+ 4z = 7
I know this has to do with combining rows and eliminating variables until only one is left, then back-substituting into the system to find the remaining variables, but I honestly don't know where to begin the elimination.
Thank you so very much for all your help!
This question is from textbook College Algebra

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Question 48509This question is from textbook College Algebra
: The system of linear equations has an unique solution. Find the solution using Gaussian elimination of Gauss-Jordan elimination.
These equations use sub-exponents, though.
2x sub(1) + x sub(2) = 7
2x sub(1) - x sub(2) + x sub(3) = 6
3x sub(1) -2x sub(2) +4x sub(3) = 11
How do you treat these sub-exponents?
Thank you so much!
This question is from textbook College Algebra

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Question 48587This question is from textbook College Algebra
: Solve the system of linear equations
y - z + 2w = 0
3x+2y + w = 0
2x + 4w = 12
-2x -2z + 5w = 6
Do you begin by elinimating x, y z and w in that order?
Thank you so very much!
This question is from textbook College Algebra

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Question 48587This question is from textbook College Algebra
: Solve the system of linear equations
y - z + 2w = 0
3x+2y + w = 0
2x + 4w = 12
-2x -2z + 5w = 6
Do you begin by elinimating x, y z and w in that order?
Thank you so very much!
This question is from textbook College Algebra

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Question 49110: what is the sum of the roots of the equation ax exponent 2+bx+c=0?




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Question 49111: if the parabola y-2=a(x-3)exponent 2 goes through the point (2,0), what is the value of a ?
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Question 49123: indicate whether the graphs of the following will have a maximum or a minimum.
1. f(x)=x exponent 2-9
2.f(x)=8x-3x exponent 2
3.f(x)=-(3-x)exponent 2

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Question 49125: use synthetic division to find the value of f(-2) for f(x)=x exponent 3 -3x exponent 2 -x-9
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Question 49124: if y varies directly as x and inversely as z exponent 2 and,y=3 when x=2 and z=4,what is the value of x when y=9 and z =4?
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Question 50798: Write the system of equations as a matrix equation. Then solve the system, if possible, by using a matrix equation. If not possible, classify the system.
2x+6y=-36
2x+6y=-29

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Question 51975: I know this isn't that right topic for my question. But I'm in algebra 3 and today we got this sheet that my teacher made up and one of the questions was...

What letter comes next?
O T T F F S S

and another question was...
A shop specializing in gift baskets of fruit has seven kinds of fruit available. How many different assortments of one or more kinds of fruit can the shop provide?


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Question 48432: use determinants to determine the number of solutions for each of the following systems.
3x-y=7
6x-2y=10

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Question 53802This question is from textbook Algebra 2 An Integrated Approach
: I am not understanding how to work this problem. please explain how to get the answerThis question is from textbook Algebra 2 An Integrated Approach

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Question 53811This question is from textbook
: x+2y+z=5
0+y+-z=3
0+0+2z=6
solve for x,y,and z
This question is from textbook

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Question 54159: prove that: A+B=B+A

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Question 54204: Find coefficients a, b, c, and d so that the curve shown in Figure Ex-26 (text page 22) is given by the equation ax^2 + ay^2 + bx + cy + d = 0.(Three points: (4, -3), (-4, 5), (-2, 7))
The answer I got was:
Therefore, the coefficients in the equation for this curve would be as follows:
a = a, b = -2a, c = -4a, and d = -29a, where a is any real number.
Is that possible?

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Question 54360: Solve Using Cramer's Rule
x+2y=5
2x-y=-3
SOULTION:_______________

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Question 54952: Use the Gauss-Jordan method to solve the system of equations.
4x-3y+z+w=21
-2x-y+2x+w=2
10x -5z-20w=15

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Question 54940: JANE , THE SALES REPRESENTATIVE OF DT.COM EQUIPMENT LTD IN 3 DAYS OF TRIAL SALES IN WESTERN REGION OF THE COUNTRY SOLd 2 P'CS AND 3 CD PLAYERS AND 4 TV'S ON THE FIRST DAY;3 PC'S AND ONE CD PLAYER , AND 2 TV'S ON THe SECOND DAY ; 5 PC'S AND 2 C'D PLAYERS , AND ONE TV ON THE THIRD DAY . HE RECEIVED A TOTAL ( 000KSH) OF 250,190, AND 280 ON THE FIRST, SECOND AND THIRD DAY RESPECTIVELY . WHEN HE WAS HANING OVER THE MONEY TO THE ACCOUNTANT HE WAS UNABLE TO ANSWER OF HOW HE SOLD A UNIT OF EACH ITEM .
QUESTION :
ASSIST THE ACCOUNTANT WHO ACTUALLY REQUIRED THESE FIGURS FOR PROPER RECORD KEEPING

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Question 55558: hi, i'm having trouble with one specific problem which you use "substitution" in order to solve two equations by using inverse matrices. My teacher told us the answer, but not how to solve it. the answer he gave is: (2,4,8) and the equations are >>>>>sorry it wouldn't show up if i highlighted it>>>>>> 2|x-1|-|y+3|=-1 and 5|x-1|-2|y+3|=1 < he told us to 'substitute' to make it easier, for example make a= |x-1| and b=|y+3| that way it would be and but when i do that, and i create the matrices, the inverse always ends up with [[3][7]] ex: a=3 b=7 . but thats where i lose it? i don't understand how he got (2,4,8) when x=4, -2 and y= 4, -10. so if you could help me, or show me what i did wrong and what steps to take please help
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