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

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Question 183458: How would you change x^2-6x+5 to vertex form
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Question 183783: I am absolutely baffled by this one. I am terrible at fractions anyway, but that to a word problem and I am lost.
A goldsmith has two alloys that are different purities of gold. The first is three-fourths pure gold and the second is five-twelfths pure gold. How many ounces of each should be melted and mixed in order to otain a 6 ounce mixture that is two-thirds pure gold?

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Question 183783: I am absolutely baffled by this one. I am terrible at fractions anyway, but that to a word problem and I am lost.
A goldsmith has two alloys that are different purities of gold. The first is three-fourths pure gold and the second is five-twelfths pure gold. How many ounces of each should be melted and mixed in order to otain a 6 ounce mixture that is two-thirds pure gold?

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Question 183986: f(x)=2^x, then f(3) + f(-3) = ?
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Question 184242: An inlet pipe can fill Dominica's pool in 7 hr, while an outlet pipe can empty it in 11 hours. In his haste to watch television, Dominica left both pipe open. How long did it take to fill the pool.

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Question 184241: I believe the answers are 60, 30, 10 but can't figure out the formula to get there. Thanks! The management of Bozo Rent-A-Car has allocated $1.5 million to buy a fleet of new automobiles consisting of compact, intermediate-size and full-size cars. Compacts cost $12,000 each, intermediates cost $18,000 and full-size cost $24,000 each. If they purchase twice as many compacts as intermediate and the total number of cars to be purchased is 100, determine how many cars of each type will be purchased. The entire budget must be spent.


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Question 184241: I believe the answers are 60, 30, 10 but can't figure out the formula to get there. Thanks! The management of Bozo Rent-A-Car has allocated $1.5 million to buy a fleet of new automobiles consisting of compact, intermediate-size and full-size cars. Compacts cost $12,000 each, intermediates cost $18,000 and full-size cost $24,000 each. If they purchase twice as many compacts as intermediate and the total number of cars to be purchased is 100, determine how many cars of each type will be purchased. The entire budget must be spent.


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Question 184870: If you subtracr a number from its square, the result is 12 Find all such numbers

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Question 184870: If you subtracr a number from its square, the result is 12 Find all such numbers

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Question 184873: 1. Simplify {(c+3)^2} / (c^2 -9)

2. Simplify (x^2+7x+12)/(x^2-9)
3. Simplify (6y^5)/(24y^3)
4. Multiply and simplify (4a^2/b) * (3b/8a)
5. Multiply and simplify (r^2)/(r^2-9) * (r^2 +6r +9)/ (r^2 +3r)
6. {(a^2-1)/(a+1)} * {(2a + 4) / (a^2 +4)/ (a^2 + 5a +6)}

Thanks for your help

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Question 183623: When solving Linear Systems algebraically, there are the three main methods; Substitution, Elimination, and the Special Case ones.
I have already found the answer in the Elimination Method, but I was wondering if you could help me solve it in the Substitution Method.
This is the system;
x+y=5
3x-y=3
(I appreciate any help on how to work out this method!)

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Question 184993This question is from textbook
: i need help. please help me.
(a^3b^2c)^2
2x^2y^3(x^3y^4 + 5x - 2xy)
This question is from textbook

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Question 185044This question is from textbook
: please help me i need help
9x2 - 81 = 0
n2 - 25 = 0
This question is from textbook

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Question 185217This question is from textbook Algebra 2
: A sporting goods manufacturer makes a 5$ profit on soccer balls and $4 profit on volleyballs. Cutting requires 2 hours to make 75 soccer balls and 3 hours to make 60 volleyballs. Sewing needs 3 hours to make 75 soccer balls and 2 hours to make 60 volleyballs. Cutting has 500 hours available, and Sewing has 450 hours available.
1. How many soccer balls and volleyballs should be made to maximize the profit?
2. What is the maximum profit the company can make from these two products?
This question is from textbook Algebra 2

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Question 185247: Please help me with this problem as soon as possible Thank You
Solve the system of equations
8x-y+z=34
3x + 2y - 3z=-15
x-3y+2z=29
Type an exact answer in simpliest form

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Question 185311: solve using substition method 4x+7y=40; x=28-4y
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Question 185774: localboy1023
The defining equation of the machine  f  which takes a number, cubes it, then subracts 7 from the result is:
Choose one answer.
a. f(x) = 3x - 7

b. f(x) = x^2 - 7

c. f(x) = x^3 - 7

d. f(x) = x^3 - 7^3

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Question 185856: I could really use some help on these problems. I am working on Quadratic Equations and do not get it. They keep giving me problems from a section called SYNTHESIS and it really goes beyond what they are teaching me and there is no explanation on how to solve the problem.
ANY HELP WOULD BE GREAT!

x² + √22x = 0


4/(m²-7) = 1


(y + 5) (y – 1) = 27


Solve h = 16t² + vt + s for t.

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Question 185908: Yet more issues, will this homework never end?
1. Find the x-intercepts
y = x² + 4x – 1

2. Evaluate the discriminant b² - 4ac. Then use the answer to state how many real number solutions exist for the equation.
y = x² + 8x + 16

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Question 186588This question is from textbook saxon algebra 2
: Solve the system of equations.
2x+y+z=9
-2x+3y+z=5
3x-y+2z=10
This question is from textbook saxon algebra 2

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Question 186685This question is from textbook introuctory algebra
: im having difficulty with this problem.Please help me.
Mari Lopez has twice as much money invested at 5% simple annual interest as she does at 4%.if her yearly income from these two investments is$350,how muc does she have invested at each rate.
This question is from textbook introuctory algebra

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Question 186068This question is from textbook
: please help me!
find the greatest common factor of
4y^10 and 14x^10
This question is from textbook

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Question 187019: I have tried to get some of these but I have a problem of being just a little off and then blowing the whole deal. Please help.
Write standard form and identify a, b, and c.
4x² + 4 = 2x + 3
I need to solve this equation.
x(x-3) = 40 Would it be -5,-8?

Find the x-intercepts
Y = x² +4
And yet another one.
Y = x² -4x -32
Find the ordered pair for the vortex.
Y = 2x² -4x +6 Could it be (4,1)?
Solve the specified variable.
a/(l-r) for r Could it be r = a/s ?

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Question 187108This question is from textbook
: please help me. i need help i cant figure this out.

if the roots of y = x2 + 10x + 24 are(x + 6)(x + 4) , what is the axis of symmetry?
This question is from textbook

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Question 187229This question is from textbook
: y=3x^2-5x+2This question is from textbook

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Question 187324: Factoring completely:
5x^8 – 1280 Could the answer be: 5(x^4 + 16)(x^4 -16) ?
__________________
2x²(p+q³) – (p + q³) Could the answer be (2-x^2) (p + q^3) ?
__________________
Simplify: (6+ 1/3)/(4- 2/9) Could the answer be 57 / 17 ?
__________________
Solve the problem:
The perimeter of a rectangle is 62m. If the width were doubled and the length were increased by 21m, the perimeter would be 120m. What are the length and width of the rectangle?
__________________
Solve the equation:
3/y = y/(Sy-12)
__________________
Subtract. Simplify if possible.
(2x+5)/(x²+8x+15) – (x+2)/(x²+8x+15) Could the answer be 1 / x+5 ?
___________________

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Question 188204: 2r+3s=9
3r+2s=12

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Question 188203: 2r+3s=9
3r+2s=12

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Question 188803: how to solve a graPHIC EQUATION
-6X+6Y=6
-6X+3y=-12
PLEASE HELP SOLVE

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Question 188860This question is from textbook Contemporary Linear Algebra
: Please help me solve this problem:
Solve using any method: w + 3x + z = 0
w + 4x + 2y = 0
- 2x - 2y - z = 0
2w - 4x + y + z = 0
w - 2x - y + z = 0
This question is from textbook Contemporary Linear Algebra

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Question 188874: 2x+6=2x/5
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Question 188994: If E is any n x n matrix with E^2 = Identity matrix, what is
(Identity matrix + E)(Identity matrix - E)?
What is (Identity matrix - E)(Identity matrix + E)?

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Question 188202: x=2y+1
3x+y=17

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Question 189212: how do you solve 8x^-6x-5=0
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Question 189592This question is from textbook saxon algebra 2
: Find the inverse of the matrix, if it exists.
[4 -2]
[-5 5]
I worked it out to:
x=(4)(5)-(-2)(-2)=20-4=16
x^-1=1/16 matrix [5 2] and [5 4] on the bottom.
What now?
This question is from textbook saxon algebra 2

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Question 190034This question is from textbook algebra and trigonometry structure and method book 2
: Let a, b, c and d be positive. Prove the following properties of the proportion a/b=c/d. ( Hint: For exercises 13-16, multiply both sides of a/b=c/d by an expression that will produce the given equation.)
d/b=c/a
please explain and thank you so much.
This question is from textbook algebra and trigonometry structure and method book 2

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Question 190034This question is from textbook algebra and trigonometry structure and method book 2
: Let a, b, c and d be positive. Prove the following properties of the proportion a/b=c/d. ( Hint: For exercises 13-16, multiply both sides of a/b=c/d by an expression that will produce the given equation.)
d/b=c/a
please explain and thank you so much.
This question is from textbook algebra and trigonometry structure and method book 2

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Question 190317This question is from textbook algebra and trigonometry structure and method book 2
: The stretch on a wire under a given tension varies directly as the length of the wire and inversely as the square of its diameter. A wire having length 2m and diameter 1.5mm stretches 1.2 mm. If a second wire of the same material(and under the same tension) has length 3m and diameter 2.0mm, find the amount of stretch.
Please help as i keep on messing the decimals up and can't seem to get the right answer. Please explain also. thank you!
This question is from textbook algebra and trigonometry structure and method book 2

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Question 190318This question is from textbook algebra and trigonometry structure and method book 2
: A beam 3cm. wide and 5 cm deep can support a load of 630 kg. What load can it support when turned on it's side?
I don't understand what to do with this question.
This question is from textbook algebra and trigonometry structure and method book 2

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Question 190714: Determine whether the equation y=-2/3+6 has the ordered pair (-9,12) as a solution. Answer yes or no and show work
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Question 190716: Given the equation y=-5x+7
a.Find the slope of the graph of the line
b. Find the y-intercept of the graph of the line. Write your answer as an ordered pair.

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Question 190719: Find the slope of the line passing through the given points. without graphing. Show your work. (5,1) and (-3,2).
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Question 190722: Find the slope of the line passing through the given points. without graphing. Show your work. (5,1) and (-3,2).
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Question 190730: Given: 3y+6x=12
Solve the equation for y and graph the equation

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Question 190739: Given -2x+5=13
Graph the equation using the method of your choice. What is the slope of the line?

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