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

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 Algebra: Linear Algebra (NOT Linear Equations) Solvers Lessons Answers archive Quiz In Depth

 Question 28550: A small company produces both doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Identify 2 points that satisfy the inequalities. Click here to see answer by stanbon(57967)

 Question 28699: The relationship between the air temperatur t (in degrees Fahrenheit) and the altitude h ( in feet above sea level) is approcimately linear. At 1000 ft, the temperature is 60*. At 5000ft the temperature is 42*. Express t in therms of h. Use proper or improper fractions or exact decimals only no decimal approcimations. Click here to see answer by josmiceli(9817)

 Question 28706: use factoring to solve the following equations: 9x^2-16=0 i tried (3x-4)(3x-4) but this is wrong. then I thought about using the square root property, but the instructions say factoring. Click here to see answer by longjonsilver(2297)

 Question 28841: i need help with graphing linear equations x+y=7 -x+y=6 -x+5y=5 y=-2x+7 Click here to see answer by elima(1433)

 Question 28969: use completing the square to find the vertex of the quadratic function y=-2x^2+16x+4 This is what i tried y=-2(x^2-8x)+ 4 Y= -2(x-4)^2 +16-16+4 Y=-2(x-4)^2-12 vertex= (-4,-12) the answer is supposed to be vertex= (4,36) Thanks for the help in advance Click here to see answer by sdmmadam@yahoo.com(530)

 Question 29238: Let V be the plane 6x1 + 4x2 - 2x3 = 0 in R^3 and let x= (6 -2 4) a) find the orthogonal decomposition of x with respect to V b) find the point in V which is closest to x Click here to see answer by venugopalramana(3286)

 Question 29300: 0 = 5(x^3) + 10 + 10(x^2) solve for x? or factor? Click here to see answer by longjonsilver(2297)

 Question 29236: how do i prove W^(perpendicular sign) is a subspace of R^n Click here to see answer by venugopalramana(3286)

 Question 29237: how do i prove W^(perpendicular sign) is a subspace of R^n Click here to see answer by venugopalramana(3286)

 Question 29411: What is the equation of the line with a slope of -5/2 that goes through the point (-4,-1)? Click here to see answer by stanbon(57967)

 Question 29816: If f(x) =x^3 and g (x) = -6+3x, find g(f(x)). Click here to see answer by Earlsdon(6294)

 Question 29839: I have to solve this proof but dont understand it all. Here it is: Let v and w be independent column vectors in R^3, and let A be an invertible 3X3 matrix.Prove that the vectors Av and Aw are independent. Click here to see answer by khwang(438)

 Question 29823: Express in terms of logarithms of x, y, and z: log [a] 7xy^5/ [z]^4 Click here to see answer by sdmmadam@yahoo.com(530)

 Question 29873: Question: Given log[10]3=S and log[10]11=T, find log[10]33 Here are the possible answers: S+T ST 10^st 10^s+t Click here to see answer by jb007mi6(53)

 Question 29868: Given f(x) =x^3 and g (x) = 3+6x^2, find (g o f) (x). Here are the possible answers: a. none of these b. 3+6x^2/x^3 c. 3+6x^6 d. 3+6x^2 Thanks for helping Click here to see answer by jb007mi6(53)

 Question 29869: Let f(x)=9-x^2, g(x)=3-x. Find (f+g) (x). Here are my four choices: (1) -x^2-x+12 (2) 3+x (3) -x^2+x+6 (4) x^3=3x^2-9x+27 Thanks! Click here to see answer by sdmmadam@yahoo.com(530)

 Question 29871: Express in terms of logarithms of x, y, and z: log[a] 7xy^5/ z^4 Possible answers: (1) 35+log[a]xy-4loga^z (2) log[a]7+log[a]x+5log[a]y-4log[a]z (3)log[a]7+log[a]x+5log[a]y/ 4log[a]z (4) 7+log[a]x+5log[a]y-4log[a]z Click here to see answer by sdmmadam@yahoo.com(530)