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

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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(182)

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(182)

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(182)

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)

Question 30479: (m) Question:
^3 sqrt 9x-4=^3 sqrt 2x+9
Answers:
(a) -8/13
(b) 13/7
(c) 2
(d) -7/13
Please be specific as to which letter answer is correct. thanks for your help!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30476: (7)Question:
Solve: ^3 sqrt x^2-4x+2=^3 sqrt x+2
(a) 0,5
(b) 1/2, 5
(c) 0, 11/2
(d) 1/2, 11/2
Thanks for your help in advance!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30462: (m) Question: 3 sqrt 9x-4 =3 sqrt 2x+9
(A) -8/13
(B) 13/7
(C) 2
(D) -7/13
Thank you very much!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30547: (18)
Use the factor theorem t determin which of th following is not a factor of
f(x)=3x^4-x^3-68x^2+76x+80
Thanks!
Possible answers:
(A) x-2
(B) 3x+2
(C) 3x-2
(D) x+5
Click here to see answer by longjonsilver(2297)

Question 30375: Question:
Solve:
^3 sqrt x^2-4x+2=^3 sqrt x+2
POssible Solutions:
(A) 0, 5
(B) 1/2, 5
(C) 0, 11/2
(D) 1/2, 11/2
Please be specific as to which letter answer is correct please
Thanks for your help!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30544: (#7) Question:
Solve the system:
x^2+y^2=20
x^2-2y^2=8
Answers:
(A) (04,2) (-4,-2)
(B) (1, sqrt19) (-1, -sqrt19)
(-1 sqrt 19) (-1. -sqrt 19)
(C) (4,2) (4, -2)
(D) (4,2) (4, -2)
(-4,2) (-4, -2)
Please be specefic as to which letter answer is correct.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30457: (7) Question:
Solve 3 sqrt x^2 -4x+2= 3 sqrt x+2
(A) 0, 5)
(B) 1/2, 5
(C) 0, 11/2
(D) 1/2, 11, 2
Please be specific as to which letter answer is correct. Thanks!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30340: Solve the system:
x^2+y^2=63
x^2=3y^2=27

Click here to see answer by sdmmadam@yahoo.com(530)

Question 30337: Quesion: 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+y=9
(d) a and b
(e) b and c
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30330: Quesion : Solve for y: y^4-4y^2=40y-10y^3
y= or y= or y= or y=
Possible Answers:
(a) 0, 10, 2, -2
(b) 0, -10, -2, 4
(c) 0, -10, 2, -2
(d) 0, 10, -2, -4

Click here to see answer by Fermat(127)

Question 30458: (8) Question:
How many solutions does this nonlinear system have?
2y=2x^2+4x+9
y=x^2+2x+3
(A) 0
(B) 1
(C) 2
(D) 3
(E) Infinite solutions
Thanks!
PLEASE NOTE THIS IS THE CORRECT QUESTION AND WRITTEN EXACTLY HOW IT IS FOUND IN MY WORK ~
Click here to see answer by Fermat(127)

Question 30548: #25
Find the rational roost of f. List any irrational roots correct to two decimal places.
f(x)=x^4-3x^3-4x^2+18x-12
(A) rational roots: -1, -2; irrational roots~ 2.45, -2.55
(B) rational roots: -1,2; irrational root~ 2.55, -2.55
(C) rational roots 1,2; irrational roots~ 2.45,-2.45
(D) rational roots: 1,-2; irrational roots ~ 2.55,-2.45
Thanks for your help
Click here to see answer by khwang(438)

Question 30546: #16
Use the remainer theorem to find P(-3) if P(x) = x^6+2x^5+5x^3-8x^2+26
Also find the quotient polynomials that leads tothe remiander.
(A) 62; x^5+5x^4+3x^3+14x^2-20x-12
(B) 62; x^5-x^4+3x^3-4x^2+4x-12
(C) -3; x^5-x^4+3x^3-4x^2+4x-12
(D) -3; x^5+5x^4+3x^3+14x^2-20x-12
Please be specific as to which letter is correct.
Click here to see answer by ikdeep(182)

Question 30352: Question:
Use the synthetic division to find f(-4) if f(x) =x^4+20x^3+396+405.
Possible Answers:
(a) none of these
(b) 6
(c) 7
(d) 5
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30246: Question is:
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 has two imaginary solutions
(d) The system has one solution of multiplicity 2
Please be specific on which is the correct answer- thank you
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30237: Question:
Solve for y: y^4-4y^2=40y-10y^3
y=________ or y+_________ or y= _____________ or y= _______________
Possible Answers:
(a) 1, 10, 2, -2
(b) 0, -10, -2, 4
(c) 0, -10, 2, -2
(d) 0, 10, -2, -4
Please help and be specific as to which answer is correct.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30545: (#15)
Use synthetic division to find f(-4) if f(x) = x^4+20x^3+138x^2+396+405
(A) none of these
(B) 6
(C) 7
(D) 5
Please choose a letter answer.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30580: I want to find about(three things)the set, W={(1,0,0),(0,1,0),(0,0,1),(-7,8,-9)}
Is this linearly dependent? Does this spans R3? Is this a basis for R3?
I think this set spansR3 because the first three vectors span R3, so adding the last one does not change it. Also, I think it is linearly dependent as there are nontrivial solutions. But, I am not sure if it is not a vasis for R3. Could you give me advice???
Click here to see answer by venugopalramana(3286)

Question 30252: How many solutions does this nonlinear system have?
2y=2x^2+4x+9
u=x^2+2x+3
(a) o
(b) 1
(c) 2
(d) 3
(e) infinite solutions
Click here to see answer by Fermat(127)

Question 30335: Question:
How many solutions does this nonlinear system have?
2y=2x^2+4x+9
y=x^2+2x+3
(a) no soltuion
(b) 1 solution
(c) 2 solutions
(d) 3 solutions
(3) infinite solutions
Click here to see answer by Fermat(127)

Question 30477: (8) Question:
How many solutions does this nonlinear system have?
2y=2x^2+4x+9
y=x^2+2x+3
(a) no solutions
(b) 1
(c) 2
(d) 3
(e) infinite solutions
Click here to see answer by Fermat(127)

Question 30594: Can you please help.
(33)
Find the vertex, focus, and directrix of the graph of the equation 8(y+2) =(x+6)^2
(A) vertex (-6,-2) focus (-6,0) directrix is y=-4
(B) vertex (6, -2) focus (-6, 4) directrix is y=-8
(C) vertex (6, -2) focus (6,0) directrix is y=4
(D) vertex (-6, -2) focus (6,4) directrix is y=o
thanks for your help
Click here to see answer by Nate(3495)

Question 29492: Let U and V be subspaces of Rn. Prove that the intersection, U n V, is also a subspace of Rn.
Click here to see answer by venugopalramana(3286)

Question 30216: Question:
Use the synthetic division to determne which pair of integers prvodes both a lower and an upper bound for the zeros of f(x) =2x^4-14x^3+22x^2-14x-24
Possible Answers:
(a) 0,6
(b) none of these
(c) -1,7
(d) 1,6
Please be specific in which letter answer is correct. Thanks!
Click here to see answer by Nate(3495)

Question 30480: (m) Question: Use synthetic division to find f(-4) if f(x) =x^4+20x^3+138x^2+396x+405
Possible Answers:
a. none of these
b. 6
c. 7
d. 5
Please be specific as to which letter answer is correct.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30336: Question:
How many real solutions does this nonlinear system have?
x^2+y2=13
=x^2+2y^2=14
(a) 0
(b) 1
(c) 2
(d) 3
(e) 4
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30336: Question:
How many real solutions does this nonlinear system have?
x^2+y2=13
=x^2+2y^2=14
(a) 0
(b) 1
(c) 2
(d) 3
(e) 4
Click here to see answer by Nate(3495)

Question 30621: 1/4 (3m - 2) = 6/7 (8m - 2) + 9
Click here to see answer by Nate(3495)

Question 30475: (7) Question:
Solve for y: -2y-2=sqrt2y^2-7-7. You many include extraneous solutions.
(a) 2, 8
(b) -2,8
(c) -2, -8
(d) 2, -8
Please be specific as to which letter answer is correct. Thanks!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30454: (7) Question:
Solve for y: -2y-2 = sqrt 2y^2-7 -7 (You may include extraneous solutions)
(A) 2, 8
(B) -2, 8
(C) -2, -8
(D) 2, -8
Please be specific as to which letter answer is correct- thanks!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30358: Question:
Find all the real and complex zeros of the polynomial x^4+8x^3+8x^2=72x-153
Possible Answers:
(a) none of these
(b) 4, -4, 3-2i, 3+2i
(c) 3, -3, -4-i, -4+i
(d) 3, -3, -4-2i, -4 + 2i
Thanks!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30213: Question:
Use the factor between therorm to determin whichofhte following is not a factor of f(x) =3x^4-x^3-68x^2+76x+80
Possible Answer:
(a) a-2
(b) 3x+2
(c) 3x-2
(d) x+5
Please be specific in which possible answer is correct. thank you!!!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30781: The question is:
Determine the vertices, asymptotes, and foci of the hyperbola defined by 144x^2-81y^2=81
Answers are:
(A) vertices (0, +1) asymptotes: y=+4/3x, foci (0, +5/4)
(B) vertices (0, +1) asymptotes: y=+3/4x, foci: (0, +5/4)
(C) vertices (+3/4,0) asymptotes: y=+3/4x. foci: (+5/4,0)
(D) vertices (+3/4,0) asymptotes: y=+4/3s, foci: (+5/4,0)]
Thanks for your help with this.
Click here to see answer by Nate(3495)

Question 30983This question is from textbook Linear Algebra and Its Applications, Update

: Let P be the vector space of polynomials in "t" with real coefficients. Show that the inner product < f,g > = the integration from -1 to 1 of f(t)g(t)dt defines an inner product on P.
I went to speak with my professor about this but I am still not sure what the question even means. I understand inner products and integration, and how integration can be used to represent inner products, but this question is giving me blanks. Also, if you find the textbook, is this question like Example 7 on page 434 in Chapter 6 only with different numbers>This question is from textbook Linear Algebra and Its Applications, Update

Click here to see answer by acerX(62)

Question 30776: The Question Is:
Find the third-degree polynomial with real coefficients and with zeros 1 and 3+i.
The possible answers are:
(A)z^3-7z^2+16z-10
(B)z^3+7z^2+16z+10
(C)z^3-7z^2+4z-10
(D)z^3-5z^2+4z+10
Thanks for your help!

Click here to see answer by venugopalramana(3286)

Question 30946: I cannot fill out the book infromation because this is an independent study course for college algebra at Brigham Young Univeristy. This is a paper coruse, no book was provided!
Question:
Choose the ordered pair(s) below that satisfy the function y=3^x.
A. {1/2,-3)
B. (-1,1/3)
C. (-2, 1/9)
D. (0, -3)
E. both b and c
Thanks!
Click here to see answer by askmemath(368)

Question 31075: how do I use substitution to solve the linear system for
X + 3/4y = 3/4
2y = 4x + 16

by the way its not from a text book

Click here to see answer by aussie7us(3)

Question 31086: " how do you graph y is less than or equal to 4"
Click here to see answer by blubunny01(20)

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