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

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Question 1052176: A. ) If x represents the smallest of three consecutive integers , write an expression to represent each of the next two consecutive integers .
B.) if x represents the largest of three consecutive integers , write an expression to represent each of the previous two consecutive integers

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Question 1052516: Good evening. I'm having hard time on how to differentiate an eigenvalue from eigenvector. I can't understand the examples on there internet Kindly provide a more specific example and a step-by-step explanation on how we solve the abovementioned problem. One problem/ example is so much credited. Thank you very much....

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Question 1052602: ja+ft=jx+y
Solve for j
I keep coming up with j/j=x+y
which, logically means 1=x+y
but it says I'm wrong

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Question 1052803: (3, 2) (-5, 8)
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Question 1053243: Which ordered pair is a solution to the system?
{y>-2
{x+y<4
A. (1,3)
B. (-3,5)
C. (0,-4)
D. (-2,-3)

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Question 1053352: Which of the following value/s of x will make the rational expression x + 11/ 2x undefined?
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Question 1053699: Decide if this statement is valid or invalid
if 3 points are on the same line, then they are colinear. points X,Y,Z are on line M so they are colinear

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Question 1053868: 1) If f(x) = 19-x find the value of f(0.5)
2) If f(x) = 30 - 4x find the value of f(4)

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Question 1053914: Which one of the following is a function?
a. 4x – 2y^2 = 9
b. 4x^2 – 2y^2 = 9

c. 4x – 2y = 9

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Question 1053915: Which of the following statements are true about functions and relations?
No trigonometric functions are relations.
All trigonometric functions are relations.
A trigonometric function may or may not be a relation.
The vertical line test will not work for trigonometric relations.

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Question 1053913: Find the minimum value of the function f(x) = x^2 + 9x – 16.
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Question 1053913: Find the minimum value of the function f(x) = x^2 + 9x – 16.
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Question 1053913: Find the minimum value of the function f(x) = x^2 + 9x – 16.
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Question 1053912: A box is to be constructed from a sheet of cardboard that is 10 cm by 50 cm by cutting out squares of length x by x from each corner and bending up the sides.
What is the maximum volume this box could have? (Round your answer to two decimal places.)

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Question 1054144: please help me to solve this problem.
After a certain number is diminished by 8, the amount remaining is multiplied by 8; the result is the same as if the number were diminished by 3 and the amount remaining multiplied by 3. What is the number?
The number is =

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Question 1054144: please help me to solve this problem.
After a certain number is diminished by 8, the amount remaining is multiplied by 8; the result is the same as if the number were diminished by 3 and the amount remaining multiplied by 3. What is the number?
The number is =

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Question 1054144: please help me to solve this problem.
After a certain number is diminished by 8, the amount remaining is multiplied by 8; the result is the same as if the number were diminished by 3 and the amount remaining multiplied by 3. What is the number?
The number is =

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Question 1054139: please help me to solve this problem.
During a certain week, a small wind generator and a small hydro unit together produce 5880 kWh, with the wind generator operating only 85.0% of the time. During another week, the two units produce 6240 kWh, with the wind generator working 95.0% of the time and the hydro unit down 7.50 h for repairs. Assuming that each unit has a constant output when operating, find the number of kilowatts produced by each in 1.00 h.
Do not round intermediate results. Round only final answers. Round to the nearest integer.
wind generator:
hydro unit:

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Question 1054225: Please help me.
After a certain number is diminished by 8, the amount remaining is multiplied by 8; the result is the same as if the number were diminished by 3 and the amount remaining multiplied by 3. What is the number?
The number is

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Question 1054224: Please help me to solve this problem.
A certain paint mixture weighing 305 kg contains 22% solids suspended in water. How many kilograms of water must be allowed to evaporate to raise the concentration of solids to 27%?
Treat the percents given in this exercise as exact numbers, and work to three significant digits.
Quantity of water =


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Question 1054224: Please help me to solve this problem.
A certain paint mixture weighing 305 kg contains 22% solids suspended in water. How many kilograms of water must be allowed to evaporate to raise the concentration of solids to 27%?
Treat the percents given in this exercise as exact numbers, and work to three significant digits.
Quantity of water =


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Question 1054223: Please help me to solve this problem.
A certain mine yields low-grade oil shale containing 18.0 U.S. gallons of oil per ton of rock, and another mine has shale yielding 30.0 gal./ton. How many tons of each must be sent each day to a processing plant that processes 23000 tons of rock per day, so that the overall yield will be 22.0 gal./ton?

18.0 gal./ton=
30.0 gal./ton=

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Question 1054305: Determine if the vectors v1 = (1,2,3), v2 = (1,0,-1), v3 = (2,2,2), v4 = (2,4,6) span R^3
What I have done is create a matrix and Im not sure where to go next
1 2 3
1 0 -1
2 2 2
2 4 6
I assume I have to use Gaussian Elimination, but I am lost afterwards

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Question 1054581: Where is the function 4(x + 2)(x – 3)^3 > 0?
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Question 1054580: ind f[g(x)] if f(x) = x^4 + 1 and g(x) = x^2.
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Question 1054582: Which of the following relations are functions?
y = x + 2
x = y + 2
x + y = 2

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Question 1054692: Use logarithmic properties to compress the statement into a single logarithm:

1/2logx+3logy

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Question 1054694: (Calculator) The demand d for a specific product, in items per month, is given by d(0)=25+880e^-0.18p . What will be the monthly demand, to the nearest unit, when the price of the product is 8$ ?
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Question 1054690: Use logarithmic properties to expand into several logarithms : In(x^2y/z^4)
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Question 1054687: Write the equation in logarithmic form: log4 (1/256)=-4
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Question 1054687: Write the equation in logarithmic form: log4 (1/256)=-4
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Question 1054806: What is the equation of the line that has a slope of-1/3 and a y-intercept of 5/2?
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Question 1054785: Form a third-degree polynomial function with real coefficients such that -7+i and -4 are zeros
F(x)=

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Question 1054883: please help me.
A stone is thrown upward with a horizontal velocity of 80 ft./s and an upward velocity of 60 ft./s. At t seconds it will have a horizontal displacement H equal to 80t and a vertical displacement V equal to 60t – 16t2. The straight-line distance S from the stone to the launch point is found by the Pythagorean theorem. Write an equation for S in terms of t, and simplify.


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Question 1054921: I need help with the steps to solve this problem
3b cubed minus 5b squared plus 2b
I really would like en explanation to the steps on how the answer can be obtained and what the answer is. I am stuck on question 11 on my homework and I'd like to understand the process

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Question 1054689: (Calculator) The function r(t)=0.69607+.60871InT gives the annual interest rate r, as a percent, a bank will pay on its money market accounts, where t is the term in months. What interest rate, to the nearest tenth of a percent, will the bank pay on a money market account with a term of 9 months?
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Question 1055035: N=3
2 and 5i are zeros
F(-1)=78

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Question 1055132: g(0)=-1/2
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Question 1055117: If the same integer is added to the numerator of the fraction 2/7 and subtracted from the denominator , the fraction becomes 2 . what is the integer ?
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Question 1055117: If the same integer is added to the numerator of the fraction 2/7 and subtracted from the denominator , the fraction becomes 2 . what is the integer ?
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Question 1055117: If the same integer is added to the numerator of the fraction 2/7 and subtracted from the denominator , the fraction becomes 2 . what is the integer ?
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Question 1055572: form a third-degree polynomial function with real coefficients such that 3+i and -9 are zeros
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Question 1055719: x-5y-2z=6
-5x-5y+z=9
2x+5y-4z=-3

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Question 1055571: Find the nth-degree polynomial function with real coefficients satisfying the given conditions: n=4; -3; 1/4, 2i are zero f(-2)=-144

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Question 1056217: Form a polynomial
f(x) with real coefficients having the given degree and zeros.
Zeros:4-5i, 3
multiplicity:2

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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