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

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Question 5979: Can you give me the answer.
8x +9 and 6x - 7 = (8x +6x) + (9-7)

Click here to see answer by Abbey(339)

Question 6334: How would you find the sum and product of the root of this quadratic equation?
1.
Click here to see answer by ichudov(404)

Question 6345: integral of e (r/l)v(t) with respect to t
Click here to see answer by longjonsilver(2297)

Question 6379: I am doing this problem for my college algebra class and have already asked in our homework help section how to do it and got 2-3 answers.The directions are to find the variable that satisfies the equation.This is the problem:
-7x=-26+6x
Click here to see answer by minerva(22)

Question 6446: Hello, My name is Lavalle!
I need help with story problems. Some say there easy, I don't understand how. Its using equations to solve applied problems.
Please help.
1. Tom, Sam, and Stacy found a total of 13 eggs at the Easter Egg hunt. Sam found 2 times less 4 than Tom. Stacy found 5 times and 2 less than Sam. How many eggs did each find?
2. Emiliy age is 4 years less than Korey, and Carter is 7 years less than Korey. Together their ages total 19. What is the age of each child?
3. A family consists of 4 children, a set of triplets and John who is 6 years younger. The combined age of all the children is 54. Find John's age.
4. The length of a buffet table is 4 more than 3 times the width. If the perimeter is 40 feet, find the dimensions of the table.
I just need an overview of How to do these. Please, Please help :(

Click here to see answer by minerva(22)

Question 6475: I am working on this problem and cannot remember how to do it.
3(x-2)+2=2(x-4)The directions say remove the variables and solve.
Thank you for your help..
Click here to see answer by digitalbeachbum(7)

Question 6497: Here is the question:
2v(3v2-1) - (6-8v3+14v)+3
here is my attempt:
6v3-2v - 6+6v2+3
4v2-3=6v2
What is the rule with exponents ?

~Tabitha
Click here to see answer by ichudov(404)

Question 6452: WHAT ABOUT THIS 6X-2>-4X+6 HOW SHOULD I WORK THIS?
Click here to see answer by arunpaul(104)

Question 6540: How do you determine the vertical asymptotes, given the equation
of a rational function?
----------------------------------------------------------------------
I think the denominator of the equation equal to zero would be it, but not sure how to explain it.
Click here to see answer by Mike(39)

Question 6542: Describe what happens to the graph of a function as the value of the
independent variable approaches its vertical asymptote.
---------------------------------------------------------------
It goes up to positive or negative infinity?
Click here to see answer by longjonsilver(2297)

Question 6541: How do you determine the horizontal asymptotes, given the equation of
a rational function?
--------------------------------------------------------------------------
look for the highest power of x? I'm not sure.
Click here to see answer by longjonsilver(2297)

Question 6570: If you let x take on very large positive values, and very small
negative values, what can this tell you about the far right and left
sides of the graph of a rational function that has a horizontal asymptote?
Click here to see answer by longjonsilver(2297)

Question 6569: Some "x-values" make the denominator of a rational function
undefined. Why can't the graph of that function cross the vertical lines
(vertical asymptotes) that have those values for "x-intercepts"?
Click here to see answer by longjonsilver(2297)

Question 6666: solve the systems of equations
3x-2y=5
-6x+4y=7
Click here to see answer by xcentaur(357)

Question 6688: HI,
I have the following vertices of a rectangle: (-2,1), (1,4), (3,2), and (0,-1). How do I find the length of the diagonal of the rectangle?
Click here to see answer by Earlsdon(4898)

Question 6733: I have been wracking my brain to solve this equation. It asked to solve for X.

3-x/(3x-1)(x+1)=0
Click here to see answer by prince_abubu(198)

Question 6726: Dear Sir/Madam,
I am confronted with the following problem:
"Find an equation of the polynomial function, f, that satisfies the given conditions.
i) Third degree polynomial that has zeros when x = 2,4
ii) f(1) = 2
iii) f(x) > 0 : (-infinity,2)
iv) f(x) < 0 : (2,4)u(4,infinity)"
I was really really lost on how to solve this question. I don't know what they mean when they say "that has zeros". Can you help me out?
Thanks in advance.
Regards,
-Mike
Click here to see answer by khwang(438)

Question 6725: Dear Sir/Madam,
I am confronted with the following problem:
"Find an exponential function of the form f(x) = a * e^(b/x) + c that has y-intercept (0,5), a horizontal asymptote y = 3, and whose graph passes through the point (4,10)."
I don't know how to use the fact that the function has a horizontal asymptote at y = 3 in order to solve this question. I know that the horizontal asymptote means that the function will never be equal to 3, but other than that, I don't know how to use it. Can you help me?
Thanks in advance.
Regards,
-Mike
Click here to see answer by khwang(438)

Question 6724: Dear Sir/Madam,
I am confronted with the following problem:
"Which of the following are true of the function f(x) = -7sin(x/2 - pi/3)?
I. The maximum value of the function f is 7 and occurs when x = pi/2.
II. The period of the function is 4pi.
III. The phase shift of f is 2pi/3."
I figured out that the first one by looking at the first derivative, but the other two I couldn't figure out (at least not without the use of a graphing calculator). And what is meant by a phase shift?
Thanks in advance.
Regards,
-Mike
Click here to see answer by khwang(438)

Question 6803: solve

7x-2(7x-5)+6
Click here to see answer by glabow(165)

Question 6802: Simplify the algebraic expression

4[6-4(x-y)+ 6x]-16y
Click here to see answer by glabow(165)

Question 6829: How do I write the mathematical definition for a logarithm, like for
logb N?
Click here to see answer by prabhjyot(164)

Question 6851: y= 2x + 8 and y = 18 What is the value of X?
Click here to see answer by longjonsilver(2297)

Question 6852: If X=14 and y = 6x - 42 determine the value of Y?
Click here to see answer by longjonsilver(2297)

Question 6853: If y = -33 and y = -5x - 3, determine the value of X?
Click here to see answer by longjonsilver(2297)

Question 6854: If y = -38 and y = 24 + 8x, what is the value of X?
Click here to see answer by longjonsilver(2297)

Question 6855: If x = 72 and y = -54 - x/6, what is the value of y?
Click here to see answer by longjonsilver(2297)

Question 6858: If y = 32.56x + 27 and x = 0, what is the value of Y?
Click here to see answer by longjonsilver(2297)

Question 6857: If y = 39 and y = -x/4 + 15, what is the value of X?
Click here to see answer by longjonsilver(2297)

Question 6856: If y = 66 and y = 2/3x - 27, what is the value of X?
Click here to see answer by longjonsilver(2297)

Question 6884: Please hel me solve this problem. If y = 66 and y = 2/3x - 27, what is the value of x?
I had subtracted 27 from both sides.

Thank you!!!!
Click here to see answer by glabow(165)

Question 6883: Good afternoon, Please help me solve the following problem:
If y = 32.56x + 27 and x = 0, what is the value of y?
Click here to see answer by Mike(39)

Question 6913: write an equation for the line containing the indicated points
(-1/2,7) and(-4,1/2)

Click here to see answer by glabow(165)

Question 6831: Since a logarithm is an exponent, how do you think the log property
logb(xy) = logb (x) + logb (y) is related to the exponent property
(b^m)(b^n) = b^(m+n)?
Click here to see answer by prince_abubu(198)

Question 7034: Good morning, Please help me with this problem.
If y = -38 and y = 24 + 8x, what is the value of x?
Thank you.
Click here to see answer by longjonsilver(2297)

Question 7000: How do you find out if an equation is linear?
Click here to see answer by prince_abubu(198)

Question 7093: I was trying to find out the answer to this problem.
Find the slope, x and y intercepts of:
y=3/4x
my answer is this
m= 3/4
y= 0
x= -3/4
is this right
Click here to see answer by longjonsilver(2297)

Question 6221: show that the sum of the first N even natural numbers is equal to (1+1/N) times the sum of the first N odd natural numbers.
Click here to see answer by khwang(438)

Question 7221: Hi Everyone:
We're studying Linear Equations this week and I'm having a hard time without a class friend who usually studies with me. Any help is appreciated. Thanks.
How many solutions are there for the equation 3x - 11y = 15?
How many points are on a line (such as the one whose equation is:
3x - 11y = 15)?
Do all the solutions for 3x - 11y = 15 also make 3x - 11y >= 15 true?
Click here to see answer by longjonsilver(2297)

Question 7284: State the property illustrated in each equation or statement.
1. (7 x s) x 7 x (s x t)
2. (6-2)a - 3b = 4a - 3b
Solve each equation.
3. 5r + 7 = 5r - 9
4. 5m - (5+4m) = (3 + m) - 8
Click here to see answer by glabow(165)

Question 7394: fourteen less than twice some number is 154. find the number
Click here to see answer by bonster(299)

Question 7389: sloving equations for an example -1.6r+5=-7.8
Click here to see answer by bonster(299)

Question 5452: Prove that a linear operator T on a finite-dimensional vector space is invertible if and only if zero is not an eigenvalue of T.
Click here to see answer by khwang(438)

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