Tutors Answer Your Questions about Linear-systems (FREE)
Question 6600: Dear Sir/Madam,
I am confronted with the following problem:
"Solve the equation.
3/(2x-5) + 2/(2x+5) = (10x + 5)/(4x^2 - 25)"
When you work out the left side of the equation (i.e. the addition) you get exactly the same thing as on the right side, so it is just like saying 1 = 1 is it not? I don't understand why the answer is all real numbers except +-5/2. Can you help me please?
Thanks in advance.
Regards,
-Mike
Click here to see answer by prince_abubu(198)  |
Question 6611: Dear Sir/Madam,
I am confronted with the following problem:
"A box with an open top is to be constructed by cutting 3-in squares from the corners of a rectangular sheet of tin, whose length is twice its width, and then folding up the sides. What size sheet of tin will produce a box having a volume of 60 cubic inches?"
I did the following:
1) Volume = l * w * h
l = 2w
h = 3
2) 60 = 2w * w * 3
3) 6w^2 = 60
4) w^2 = 10
5) w = 
But that is not correct. The right answer for the width is 8 inches. What did I do wrong?
Thanks in advance.
Regards,
-Mike
Click here to see answer by prince_abubu(198) |
Question 6520: Dear Sir/Madam,
in finding the vertex of a parabola, I have been taught the following:
Rewrite the formula in point slope form, which means y - a = m(x - b), where the vertex is (b,a).
I tried to use this procedure for the following parabola: x^2 - 4x - 2y - 4 = 0. Thus, I rewrote it as follows: 2(y + 2) = x(x - 4), which would in theory mean that the vertex is (4,-2). However, this is not the case. Instead, the vertex is (2,-4). What did I do wrong?
Thanks in advance.
Regards,
-Mike
Click here to see answer by prince_abubu(198) |
Question 6608: Dear Sir/Madam,
I am confronted with the following problem:
"Simplify the expression.
(3x + 1)^6 * (1/2) * (2x - 5)^(-1/2) * (2) + (2x - 5)^(1/2) * (6) * (3x + 1)^5 * (3)."
I did the following:
[(3x + 1)^6 / (2x - 5)^(1/2)] + 18(2x - 5)^(1/2) * (3x + 1)^5
but now I don't know how to proceed. I tried setting (2x - 5)^(1/2) as a common denominator and actually doing the addition, but I couldn't get it to work. Can you help me out please?
Thanks in advance.
Regards,
-Mike
Click here to see answer by rapaljer(4671)  |
Question 6647: Dear Sir/Madam,
I am confronted with the following problem:
"Find the equation of the line that is tangent to the circle x^2 + y^2 = 25 at the point P(-3,4)."
I did the following:
1) 
2) 
3) f'(x) = 
4) f'(-3) = 
5) 
6) -3(x + 3) = 4(y - 4)
7) -3x - 9 = 4y - 16
8) 4y = -3x + 7
9)  which should be the equation of the tangent.
Instead however,  is the equation of the tangent. Why?
Thanks in advance.
Regards,
-Mike
Click here to see answer by rapaljer(4671) |
Question 6647: Dear Sir/Madam,
I am confronted with the following problem:
"Find the equation of the line that is tangent to the circle x^2 + y^2 = 25 at the point P(-3,4)."
I did the following:
1)
2)
3) f'(x) =
4) f'(-3) =
5)
6) -3(x + 3) = 4(y - 4)
7) -3x - 9 = 4y - 16
8) 4y = -3x + 7
9) which should be the equation of the tangent.
Instead however, is the equation of the tangent. Why?
Thanks in advance.
Regards,
-Mike
Click here to see answer by Mike(39) |
Question 6644: Dear Sir/Madam,
I am confronted with the following problem:
"Find the center and radius of the circle with the following equation:
x^2 + y^2 - 10x + 8y -40 = 0"
I have absolutely no idea how to approach this question. I want to use the x^2 + y^2 = r^2 formula, but I don't how to integrate that into this problem. Can you please help me?
Thanks in advance.
Regards,
-Mike
Click here to see answer by rapaljer(4671) |
Question 6650: Dear Sir/Madam,
I am confronted with the following problem:
"A tiger named Montecore has to leap 6 meters horizontally to jump over a small ravine. Imagine the tiger begins his jump at the origin (0,0). The tiger reaches a maximum height of 2 meters above the line that joins the points where he jumps and lands (i.e. the x-axis). Assume Montecore's leap follows a parabolic path. Find the equation of the tiger."
I would assume that the answer is :  . 'a' will be negative, as the parabola is reflected across the x-axis, but how do you figure out the value of 'a'?
Thanks in advance.
Regards,
-Mike
Click here to see answer by ichudov(507)  |
Question 6671: How do you solve this function of operations:
Given:f(x) = x^2 - 4 (x squared minus 4) and g(x) = radical 2x + 4
Solve: Domain of f(g(x))
I understand that I have to plug in g(x) into f(x) but I don't understand the part about the Domain. Please help me. Thanks.
Click here to see answer by prince_abubu(198) |
Question 6664: Dear Sir/Madam,
I am confronted with the following problem:
"Let parallelogram ABCD have vertices on the xy-coordinate plane A(0,0), B(b,0), and C(a,c). Find an equation for the distances between the points B and D. Assume a, b, and c are all positive and assume a > b."
I visualize this parallelogram (well, at least partially) and have drawn myself a sketch of it, but how would you go about solving this question because I can't seem to figure it out?!
Thanks in advance.
Regards,
-Mike
Click here to see answer by prince_abubu(198) |
Question 6649: Dear Sir/Madam,
I am confronted with the following problem:
"A certain state taxes the first $30,000 of an individual's income at a rate of 2%, and all income over $30,000 is taxed at 5%. Find a piecewise-defined function T that gives the total tax on an income of x dollars."
I asssumed that T(x) = 0.02x if 0<=x<=30000, 0.05x if x > 30000. However, the answer is T(x) = 0.02x if 0<=x<=30000, 0.05x-900 if x > 30000. Why do you have to subtract 2% of 30000 (i.e. 900) when the income is greater than 30000? If the income is greater than 30000, I thought it simply taxed at a rate of 5%?!
Thanks in advance.
Regards,
-Mike
Click here to see answer by prince_abubu(198) |
Question 6302: Problem Solving Using Systems of Equations
Julie and Eric row their boat(at a constant speed) 55 miles downstream for 5 hours, helped by the current. Row at the same rate, the trip back against the current takes 11 hours. Find the rate of the current.
Click here to see answer by xcentaur(357) |
Question 6744: Even though I understand the foil process, we were asked a question like this;
I have the answer when solving for "a" which is 2, but how on earth did they get the answer. HELP! Can you I see the work on this type of problem. Thanks.
Click here to see answer by IA(6) |
Question 6911: 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
Note: This is another question I had already previously asked, and did not receive a comprehendable (at least not for me) answer for. Please could somebody walk me through this? Thanks so much.
Click here to see answer by longjonsilver(2297)  |
Question 7545: I am sorry but I am trying to help my son figure this out and just don't get it. Below you will find the problem. Please walk me through how to solve this problem, step by step so that I may help him.
I have 5 problems just like this
Thank you,
4(Sn-7)=10n+2
Click here to see answer by bonster(299) |
Question 7633: Could someone please explain how to do this problem and solve please?
(2x to the 4th power yz to the third power)squared
Also if anyone knows how to write out the fourt power I would really like to know.. Thank you
Click here to see answer by arunpaul(104) |
Question 8005: I know how to solve systems of linear equations using the substitution method, the addition/subtraction method, the graphing method, and the multiplication with addition/subtraction method. But I have recently come across a problem that asks me to solve the system 5x - 4y =2 and -2x + y = 1 by using the linear combination method. I would really appreciate it if someone could show me how to use this method.
Thanks!
Click here to see answer by Earlsdon(6294) |
Question 8043: I know this is a simple problem but I have so much trouble understanding word problems. I need to write an algebraic expression and solve for the below word problem:
Sara earns $580 more than one half of Karen’s salary. Write an expression for Sara’s salary.
My first thoughts were that the equation would begin 1/2x + 580 =
But I am not sure. My class is online and have NO interaction with an instructor except a few emials a day. Help please..
Click here to see answer by longjonsilver(2297) |
Question 8056: Numerator of a fraction is 4 less than its denominator. if 1 is added to both sides, its numerator and denomirator becomes 1/2. Find the fraction.Sir it is a question from my linear equation with one variable chapter.Kindly help me.
Click here to see answer by glabow(165) |
Question 8735: I need to know what x is. I have been working on one problem for two hours and I can't take it anymore... I don't know what to do from here and I've searched my notes and textbook... I will paste how far I've gotten.. (not very far!) Can you tell me how it's done from here?
2) (4/5)x + 18 = 12
-18 -18
(4/5)x = -6
(4/5) (4/5)
Click here to see answer by Earlsdon(6294) |
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