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

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Question 1128603: You want to get rid of the y by elimination in the system below: x-6y=35;
10x-2y=35. If you multiply the top equation by 4, by which number will you multiply the bottom equation?

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Question 1128650: The expense, in dollars, to manufacture a asks of 100% Organic Guru Energy drink is +k%28a%29+=+10a%2B100+ , +a+%3E=+0+.
The price-demand function, in dollars per ask, is +p%28a%29+=+35-a+ , +0+%3C=+a+%3C=+35+.
Solve k(a)=0 and interpret.
Solve p(a)=0 and interpret.
(Please notice the comma between k(a) and the inequality, alongside p(a) and the inequality. The problem calls to interpret, I don't think that really means anything... This is a 'basic college algebra' class problem, not so basic for me though)

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Question 1129625: A number increased by unity is equal to twice the number decreased by 2.
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Question 1129626: 1.Half of an integer exceeds one-third of the next integer by unity. Find the integer.
2. The denominator of a fraction is 2 more than the numerator if 1 is added to both,the fraction is reduced to to 4/5 find the fraction.
3.divide 50 into two parts such that if 6is subtracted from one part and 12is added to the second part , we get the same number.

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Question 1129644: Prove that if {v1, v2, v3} is a linearly independent set of vectors, then so are {v1, v2}, {v1, v3}, {v2, v3}, {v1}, {v2}, and {v3}.
Will anyone provide me some guideline how to solve this problem, please?
Thank you in advance.

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Question 1129644: Prove that if {v1, v2, v3} is a linearly independent set of vectors, then so are {v1, v2}, {v1, v3}, {v2, v3}, {v1}, {v2}, and {v3}.
Will anyone provide me some guideline how to solve this problem, please?
Thank you in advance.

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Question 1129923: Use any method to solve the nonlinear system. (If there is no solution, enter NO SOLUTION.)
−x^2 + y = 8
8y= −x
Could someone assist in explaining how to to correctly solve the equation as my previous answer was wrong. Previously I got: (x, y)= (-1/6 + i +sqrt%28+2047+%29+/ 16) , (1/ 128 -i+sqrt%28+2047+%29+/ 128).

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Question 1129997: Could someone assist in explaining how to correctly solve the question. My previous answer was -40-x-3z/2.
Solve the system by Gaussian elimination. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter a general solution in terms of one of the variables.)
0.1x − 0.2y + 0.3z = 4
0.5x − 0.1y + 0.4z = 16
0.7x − 0.2y + 0.3z = 16

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Question 1130011: y=-3x-2 passes through 3, -4 needs to be parallel
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Question 1130231:
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Question 1130385:
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Question 1130809: 11/59 (11p-5) = 9q+16
59q = 11p-5
using both equations, I need to find a common point.

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Question 1131274:
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Question 1131506:
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Question 1131830: If fA(x)=x^2+x-3, and fَ(1)=5. What is the value of the constant A?
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Question 1131987: can you give me a example of writing quadratic equation with roots

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Question 1131987: can you give me a example of writing quadratic equation with roots

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Question 1132137: A truck of mass 20kg moving at 5m/s overtakes another truck of mass 15kg moving at 3m/s. If the first truck reduces its speed to 45m/s, find the speed of the second truck and the loss in energy of the system.

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Question 1132321:
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Question 1133396: A dealer marks his goods 20% above cost,but allows 5% discount to the customer. If he sells an article for ₹228, what does he gain on it?
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Question 1133396: A dealer marks his goods 20% above cost,but allows 5% discount to the customer. If he sells an article for ₹228, what does he gain on it?
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Question 1133405: find the equation of the line that passes through (3,-1) and is perpendicular to the line that passes through (-5,2) and (-1,7).
please show work thank you!!

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Question 1133419: Hi How do I solve for x the problem is 0.15(x+40)-0.08(x-60)=15
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Question 1133430: What percent above cost price must a dealer mark his goods so that after allowing a discount of 10% for cash he may still gain 35%
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Question 1133430: What percent above cost price must a dealer mark his goods so that after allowing a discount of 10% for cash he may still gain 35%
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Question 1133546: City Cabs charges a ​$2.75 pickup fee and ​$1.75 per mile traveled.​ Diego's fare for a​ cross-town cab ride is ​$15.00. How far did he travel in the​ cab?

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Question 1134350: For lines c, d, and e:

A.) If ∠3 = 5x - 1, and ∠5 = 3x + 11, then x =
B.) If ∠3 = 5x - 1, and ∠5 = 3x + 11, then the measure of ∠3 =
C.) If ∠3 = 5x - 1, and ∠5 = 3x + 11, then the measure of ∠1 =
D.) If ∠3 = 5x - 1, and ∠5 = 3x + 11, then the measure of ∠2 =

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Question 1134409: Find four numbers in G.P whose sum is 85 and product is 4096.
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Question 1134407: Find four numbers in A.P whose sum is 20 and the sum of whose squares is 120.
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Question 1134407: Find four numbers in A.P whose sum is 20 and the sum of whose squares is 120.
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Question 1134534: 3x^2 - 12x - 7 factorise by completing the square
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Question 1135053: Prove or show a counterexample.
If v1, v2, v3 are vectors in R4 and v3 is not a linear combination of v1 and v2, then {v1, v2, v3} is a linearly independent set.

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Question 1135129: In 25 years, a bond that paid 4.75% simple interest earned $4,750 interest. What was the principal of the bond in dollars?
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Question 1135128: Margaret's car loan statement said she would pay $6,568.80 in simple interest for a five-year loan at 8.4%. How much, in dollars, did Margaret borrow to buy the car?
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Question 1135535: Macario is making 15 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25 per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario use for the mixture to cost $7.25 per pound to make?
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Question 1135536: Carmen wants to tile the floor of his house. He will need 1,000 square feet of tile. He will do most of the floor with a tile that costs $1.50 per square foot, but also wants to use an accent tile that costs $4.00 per square foot. How many square feet of each tile should he plan to use if he wants the overall cost to be $2 per square foot?
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Question 1135534: The ice rink sold 99 tickets for the afternoon skating session, for a total of $868. General admission tickets cost $10 each and youth tickets cost $8 each. How many general admission tickets and how many youth tickets were sold?
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Question 1135538: Two boats leave the same dock in Cairo at the same time. One heads north on the Mississippi River while the other heads south. The northbound boat travels five miles per hour. The southbound boat goes seven miles per hour. How many hours will it take them to be 66 miles apart?
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Question 1135537: Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 5.2% interest per year. He will put some of the money into Fund A that earns 2% per year and the rest in Fund B that earns 10% per year. How much should he invest into each fund (in dollars) if he wants to earn 5.2% interest per year on the total amount?
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Question 1135537: Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 5.2% interest per year. He will put some of the money into Fund A that earns 2% per year and the rest in Fund B that earns 10% per year. How much should he invest into each fund (in dollars) if he wants to earn 5.2% interest per year on the total amount?
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Question 1135620: An organic juice bottler ideally produces 435,000 bottles per day. But this total can vary by as much as 7,500 bottles. What is the maximum and minimum expected production at the bottling company?
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Question 1135619: A chicken farm ideally produces 500,000 eggs per day. But this total can vary by as much as 25,000 eggs. What is the maximum and minimum expected number of eggs produced at the farm?
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Question 1135619: A chicken farm ideally produces 500,000 eggs per day. But this total can vary by as much as 25,000 eggs. What is the maximum and minimum expected number of eggs produced at the farm?
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Question 1135622: At Lilly's Bakery, the ideal weight of a loaf of bread is 32 ounces. By law, the actual weight can vary from the ideal by 1.5 ounces. What range of weight (in oz) will be acceptable to the inspector without causing the bakery to be fined?
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Question 1135618: Elouise is creating a rectangular garden in her back yard. The length of the garden is 14 feet. The perimeter of the garden must be at least 44 feet and no more than 56 feet. Use a compound inequality to find the range of values for the width, w, of the garden.
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760