Tutors Answer Your Questions about Linear Algebra (FREE)
Question 181471: If x=a, it follows that x^2=ax
Thus x^2 - a^2 =ax - a^2
or (a+x)(x-a) = a(x-a)
therefore x+a = a
2a = a
2= 1
Now I know 2 is not = 1. I am strugglling to figure out where I went wrong in the sum I tried to solve above. Please help!!
Click here to see answer by Alan3354(69443)   |
Question 183119: 17. In each part, sketch the vector u + v+ w, and express it in component form.
(What am I doing wrong? I got the coordinate points of each initial point of the vectors and head of each vector, then I applied the formula and I am not getting the same answer as the book which is (-2,5). The head point for u is (5,-5), v is (-5,-3), and W is (-2,5). The coordinates for the initial points are u = (0,0), v = (5,-5), and w is (-5,-3).
Initial points: u= (0,0) V= (5, -5), w = (-5,-3)
Terminal Points u= (5,-5), v= (-5,-3) and w= (-2,5)
Click here to see answer by stanbon(75887) |
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?
Click here to see answer by stanbon(75887) |
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?
Click here to see answer by josmiceli(19441)  |
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.
Click here to see answer by solver91311(24713)  |
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 $24,000 each. If they purchase twice as many compacts as intermediate and the total number of cars to be purchased is 100, determine how many cars of each type will be purchased. The entire budget must be spent.
Click here to see answer by josmiceli(19441) |
Question 184873: 1. Simplify {(c+3)^2} / (c^2 -9)
2. Simplify (x^2+7x+12)/(x^2-9)
3. Simplify (6y^5)/(24y^3)
4. Multiply and simplify (4a^2/b) * (3b/8a)
5. Multiply and simplify (r^2)/(r^2-9) * (r^2 +6r +9)/ (r^2 +3r)
6. {(a^2-1)/(a+1)} * {(2a + 4) / (a^2 +4)/ (a^2 + 5a +6)}
Thanks for your help
Click here to see answer by stanbon(75887) |
Question 183623: When solving Linear Systems algebraically, there are the three main methods; Substitution, Elimination, and the Special Case ones.
I have already found the answer in the Elimination Method, but I was wondering if you could help me solve it in the Substitution Method.
This is the system;
x+y=5
3x-y=3
(I appreciate any help on how to work out this method!)
Click here to see answer by alaccalac(13) |
Question 185217: A sporting goods manufacturer makes a 5$ 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?
Click here to see answer by josmiceli(19441) |
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
Click here to see answer by edjones(8007)  |
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.
Click here to see answer by Alan3354(69443) |
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
Click here to see answer by Alan3354(69443) |
Question 186685: 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.
Click here to see answer by uday1435(57)  |
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 ?
Click here to see answer by user_dude2008(1862) |
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