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

Tutors Answer Your Questions about Linear Algebra (FREE)

Question 30148: Question:
Solve the system: x^2+y^2=4
x+y=2
Possible solutions:
(a) [{2,-2), (-2,-2)]
(b) [{0,-2), (-2,0)]
(c) [(0,2), (2,0)]
(d) [(0,0), (2,-2)]
Please help thanks!
Click here to see answer by josmiceli(19441)

Question 30144: Please help:
2x^2+3x=20

Click here to see answer by checkley71(8403)

Question 30147: Please help
x^4-6x^2+5=0
Click here to see answer by checkley71(8403)

Question 30152: Question:
x^2+5x>24
Possible Answers:
a. none of these
b. -3 c. x<-3 or x>8
d. X<-8 or x>3
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30145: x^3+3x^2-25x-75=0
Please slove
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30083: if f(a)=2a-1 and g(a)=a2, then g(f(a))=?

how does this work out step by step?

Thank you
f(a)=2a-1 If this is true, then that part of the problem (f(a))is solved! Te answer is 2a-1.
G(a)= a2 If this is true then the variable g and a or the same thing. I hope that that is "a" to the second notation!
the answer to this problem is g(2a-1)or
2ga-g or
2a2<---(second notation)-a
Click here to see answer by johnpaul(2)

Question 30212: Questions:
(x-5) (x+6)/ x-4 <0

Possible Answers:
(a) x<-6 or 4 (b) 4 (c) x>5 or -6 (d) x<-6 or x>-5
Please be specific as to which letter answer is correct. Thanks a bunch!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30229: Find the coordinates of the vertex for the function f(x)=x^2+6x+4
POssible Answers:
(1) (-3,-5)
(2) (6,4)
(3) (3,-5)
(4) (-6,4)
Thank you
Click here to see answer by Fermat(136)

Question 30239: Question:
Solve 4x^2+3x=10
(a) (2,-4/5)
(b) (-2, 4/5)
(c) (2, -5/4)
(d) (-2, 5/4)
Please choose one the answers from above- thanks in advance
Click here to see answer by checkley71(8403)

Question 30243: Question:
Solve x^4-10x^2+9=0
Possible Answers:
(a) +1, +3
(b) 1, 9
(c) +1, +9
(d) none of these
Click here to see answer by checkley71(8403)

Question 30242: Solve 28x^-2 -3x^-1+1=0
Possible answers
(a) x=4, x=1/7
(b) x= -1/4, x+ -1/7
(c) x=4, x=-7
(d) no solution
Thanks!
Click here to see answer by checkley71(8403)

Question 30241: Question: Solve 125x^3 -64 =0
Thanks!
Click here to see answer by checkley71(8403)

Question 30338: Solve:
x^2+y^2=16
x^2/25 + y^2/16 =1
(a) no solutions
(b) [(0, -1), (0,4)]
(c) [(0, -5), (0,5)]
(d) [(-5, 0), (5, )]
Click here to see answer by longjonsilver(2297)

Question 30339: Quesion:
Solve x^2+y^2=9
x+y=3
(a) (3, -3) (-3, -3)
(b) (0, -3) (-3, 0)
(c) (0,0) (3, -3)
(d) 0, 3) (3, 0)
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30334: Question:
What can you say about the solutions of this nonlinear system?
y=4x^2+4
y=2x^2-4
(a) the system has no solution
(b) the system has two real solutions
(c) the system had two imaginary solutions
(d) the system has on solution of multiplicity 2.
Click here to see answer by josmiceli(19441)

Question 30357: Use Descartes rule of signs to determine how many positive and how many negative real zeros that polynomial functions may have. Do not attmept to find the zeros.
f(x) =x^6-2x^5+4x^4+4x^3+5x^2=5x+3
(a) 5, 3, or 1 positive real zero; 2 or no negative real zeros
(b)4,2, or no positive real zeros; 2 or no negative real zeros
(c)2 or no positive real zeros; 4, 2, or no negatitive real zeros
(d) 4, 2, or no positive real zeros; 3 or 1 negative real zero
Click here to see answer by mukhopadhyay(490)

Question 30350: Question:
x^4-6x^2+5=0

Click here to see answer by mukhopadhyay(490)

Question 30362: Question: Find the equation of the ellipse whose center is (5,-3) that has a vertex at 13,-3) and a minor axis of lenght 10.
POssible Answers:
(A) (x-5)^2/64 + (y+3)^2/25 = 1
(B) (x+5)^2/64 + (y-3)^2/25 = 1
(C) x^2/64 + y^2/25 = 1
(D) none of these
Click here to see answer by venugopalramana(3286)

Question 30349: Question:
Solve
2x^2+3x=20
(a) [4, -2/5]
(b) [4, -5/2]
(c) [-4, 5/2]
(d) [-4, 2/5]
Thanks!
Click here to see answer by mukhopadhyay(490)

Question 30240: Quesion: Solve x^3+2x^2-16x-32=0
(a) 2, 4
(b) -4, 2, 4
(c) -2, 16
(d) -2, -4, 4
Please choose from the above answers- thank you for your help!
Click here to see answer by mukhopadhyay(490)

Question 30331: Quesion: Which wquation below is the quadratic equation in standard form that results whsn you substitute u+x^-2 into the equation x^-4 -32 = 4x^-2 ?
Answers:
(a) 1/u^2 - 4/u -32 =0
(b) u^2 -4u -32 = 0
(c) u^4 -4u^2 -32 =0
(d) u^-2 -4u +32 = 0
(e) 1/u^2 +4/u -32 =o
Click here to see answer by Cintchr(481)

Question 30332: Quesion: Which wquation below is the quadratic equation in standard form that results whsn you substitute u+x^-2 into the equation x^-4 -32 = 4x^-2 ?
Answers:
(a) 1/u^2 - 4/u -32 =0
(b) u^2 -4u -32 = 0
(c) u^4 -4u^2 -32 =0
(d) u^-2 -4u +32 = 0
(e) 1/u^2 +4/u -32 =o
Click here to see answer by Cintchr(481)

Question 30249: Solve:
x^2+y^2=16
x^2/25 +y^2/16 =1
Solutions:
a. no solution
b. [(0,-4), (0,4)]
c. [(0,-5), (0,5)]
d. [(-5,0), (5,0)]
Click here to see answer by Fermat(136)

Question 30250: How many real solutions does the nonlinear system have?
x^2+y^2=13
-x^2+2y^2=14
(a) 0
(b) 1
(c) 2
(d) 3
(e) 4
Click here to see answer by Fermat(136)

Question 30395: 2a/3=8+4a
Click here to see answer by raiderluvr4ever(2)

Question 30436: On the vector space M2,2 of 2*2 real matrices, show that defining = tr(A(B^T))
Click here to see answer by venugopalramana(3286)

Question 30361: Question:
Find the center and radius of x^2+y^2-6x-2y-6=0
Possible Answers:
(A) none of these
(B) center (3,1) radius 16
(C) center (3,1) radius 4
(D) center (-3,-1) radius 16
Thanks!
Click here to see answer by Fermat(136)

Question 30351: Question:
Solve the system:
x^2+y^2=20
x^2=2y^2=8
Thanks!
Click here to see answer by ikdeep(226)

Question 30360: Question:
Find the equation for the parabola with focus at (-1,-1) and vertex at (4,-1)
POssible Answers:
(a) x^2-8x+20y+28=0
(b) -4x^2-7x-4y^2+5y-5+0
(c) 5y^2-7x-5y=-8
(d)5x^2-7x+10y^2-5y=-3
Thanks!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30464: (M) Question:
Find an equation for the parabola with focus at (-1,1) and vertex at (4,1)
(A) x^2-8x+20y+28=0
(B) x^2-8x+20y+12=0
(C) y^2-2y+20x+81=0
(D) y^2+2y+20x-79=0
Thanks!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30460: Solve the system:
x^2+y^2=63
x^2-3y^2=27
(A) (3 sqrt 6, 3) (3 sqrt 6, -3) (-3 sqrt 6, 3) (-3 sqrt6, -3)
(B) (-3 sqrt6, 3) ( -3 sqrt6, -3)
(C) 3 sqrt6, 3) (3 sqrt 6, -3)
(D) 1, sqrt 62) (1, -swrt 62) (-1, sqrt 62) (-1, -sqrt 62)
Please be specific as to which letter answer is correct.
Thanks
Click here to see answer by mukhopadhyay(490)

Question 30461: (8) Question:
Solve the system:
x^2 +y^2=20
x^2-2y^2=8
(THIS PROBLEM IS WRITTEN EXACTLY AS IT APPEARS!)
(A) (1, sqrt19) (1, -sqrt19) (-1, sqrt19), (-1, -sqrt19)
(B)(4,2) (4, -2)
(C) 04, 2) (-4, -2)
(D) 4, 2) (4, -2) (-4, 2) (-4, -2)
Please be specific as to which letter answer is correct
Thanks
Click here to see answer by mukhopadhyay(490)

Question 30456: (7) Solve 125x^3 -64=0
(A) -4/5, -2+2 sqrt 3i/5
(B) 4/5, -2+2 sqrt 3i?5
(C) -4/5, 4/5
(D) 4/5
Please be specific as to which letter answer is correct.
Thanks!
Click here to see answer by mukhopadhyay(490)

Question 30463: (M) Question:
Find the center, vertices, and foci for the ellipse:
4x^2+16y^2=64
(A) center (0,0) vertices (0, +4) foci (0, +3.5)
(B) center (2, 4) vertices (4, 0) and (4,8) foci (4, -1.5) and (4, 5.5)
(C) center (0,0) vertices (+4, 0) foci (+3.5,0)
(D) center (4,2) vertices (0,2) and (4,2) foci (0.5,2) and (7.5,2)
Please be specific as to whcih letter is correct
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30354: Question:
Factor: 2x^4-5x^3-10x^2+15x+18
(a) (2x-3) (x+1) (x+2) (x-3)
(b) 2x+3) (x-1) (x-2) (x+3)
(c) (2x+3) (x+1) (x-2) (x-3)
(d) (2x-3) (x-1) (x+2) (x+3)
Thank you
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30459: (8) Question: Choose the nonlinear systesm below that have (x,y)=(4,3) as on of their solutions.
(A) x^2+y^2=25
x+y=7
(B) y=x^2+2x-21
x-y+1
(C) x^2-y^2=7
2x+7=0
(D) both a and b
(E) both b and c
Please be specific as to which letter answer is correct.
Click here to see answer by venugopalramana(3286)

Question 30455: (7) Question:
How many solutions for x are there in this equation:
sqrt x-4 - sqrt x+8 =2?
DO NOT count extraneous solutions.
(A) 0
(B) 1
(C) 2
(D) 3
Please be specific as to which letter answer is correct. Thanks!
Click here to see answer by josmiceli(19441)

Question 30525: please help! I'm getting stuck in the middle of this problem. I know to separate the radicals square both sides, then isolate radical but I am not coming up with the correct answer. Any help is appreciated!
Thanks
Jane P.
sqrt(2x+5) + sqrt(x+6) = 9
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30214: Question:
Factor: 2x^4-5x^3-10x^2+15x+18
POssible Answers to choose from:
(a) (2x-3) (x+1) (x+2) (x-3)
(b) (2x+3) (x-1) (x-2) (x+3)
(c) (2x+3) (x+1) (x-2) (x-3)
(d) (2x-3) (x-1) (x+2) (x+3)
Please be specific in which answer is correct. Thanks a bunch!
Click here to see answer by ikdeep(226)

Question 30369: Question:
Solve for y:-2y-2= sqrt2y^2-7-7 (You may include extraneous solutions.)
Possible Answers:
(A) 2,8
(B) -2, 8
(C) -2,-8
(D) 2, -8
Thank you
Click here to see answer by ikdeep(226)

Question 30374: Question:
How many solutions for x are there is the equation:
sqrtx-4 -sqrtX+8 =2? (Do not count extraneous solutions!)
Possible Answers:
(A) 0
(B) 1
(C) 2
(D) 3
Thanks for your help!
Click here to see answer by ikdeep(226)

Question 30142: can you help me solve these quadratic equations by factoring.. m^2+8m+16=0,
6r^2-r-2=0, 9s^2+12s=-4, m^2-100=0 thank you
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30437: Find the Fourier expansion on [pi, pi] of the function f(x)= x
Click here to see answer by venugopalramana(3286)

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