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Tutors Answer Your Questions about Linear Algebra (FREE)
Question 137759: Can you show that, given two equations y = m1x + c1 and y = m2x + c2 where c1 and c2 are different, there is no solution if i>m1 = m2. Interpret this result graphically. Also show that if c1 = c2 then there will be at least one solution no matter what m1 and m2 are. Interpret this result on a graph.
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Question 137915: I am having problems with this question.
Suppose that a market research company finds that a price of p=$20, they sell x=42 tiles each month. If they lower the price to p=$10, then more people would purchase the tile, and they can expect to sell x=52 tiles in a month's time. Find the equation of the line for the demand equation. Write your answe in the p=mx+b. I think I am getting this wrong. I think the equation looks like $20 = m(42)+b if this is wrong please send me the proper equation. Thank you if you can help.
This is not in a book.
Click here to see answer by stanbon(26259)  |
Question 138200: using matrix calculations the question is as follows
A total of $ 50,000 is invested in three funds paying 6%,8%, and 10% simple interest. The yearly interest is $3700.00. Twice as much moneyu is invested at 6% as invesated at 10%. How much is invested in each of the funds.
My professor wants us to accomplish the following items.
a. set up the 3 linear equations in 3 variables
b. put the coeficients into a matrix
c. solve the matrix any method you like
d. provide the solution for x,y, and z.
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Question 139395This question is from textbook 
: a chemist needs 10 liters of a 25 % acid solution. the solution is to be mixed from three solutions whose acid concentrations are 10% 20% 50% how many liters of each solution should the chemist use to satisfy the following
a use as little as possible the 50% solution
b use as much as possible of the 50% solution
c use 2 liters of the 50% solution this is a three part question This question is from textbook
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Question 139527: Hi i hope i dont confuse you with this. The thing is ive tried to figure out what it's asking me.. but i dont know what to do. The intergral from 0 to 1 sign i couldnt find. So i hope you get it. Thanks alot.
For V = C[0,1] with inner product = intergral from 0 to 1 f(x)g(x)dx if f(0) = 0 = f(1) show that f'(x) and f(x) are orthogonal.
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Question 139993This question is from textbook an intermediate course in algebra
: a highschool counselor was interested in how many students are planning to volunteer for military servie after graduation. she randomly selectred and questioned 50 students and 15 answered that they planned to enlist after graduating. using statistical techniques, she found that she could predict the percentage P of students that would enlist in military service after graduation. her computations resulted in the inequality.
(the p and - 30 are in absolute value form)
{{P-30is less than or equal to 12.3}}}
determine the range for the percent of students who plan to enlist in the military services after grad. if 580 seniors graduate from this school, what is the range for the number of graduates planning to enlist?This question is from textbook an intermediate course in algebra
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Question 139994This question is from textbook an intermediate course in algebra
: an airplane manufacturer is producing a ball bearing whose diameter is to measure 1.7500 inches. the manufacturing process is required to be extremely accurate. the tolerance allowed on the ball bearing is one ten-thousanth of an inch.
a. on a number line, graph the range of acceptable diameters for the ball bearing.
b.write a compound inequality for the range of acceptable diameters for the ball bearing.
c.write an absolute value inequality for the range of acceptable diameters for the ball bearing
d.write and absolute value inequality for the range of diameters of ball bearings that are rejected by the manufacturer.
if u cant show me the number line one is okay. i could probably figure that one out but it would be nice to be shown how to do all a-d =] thank u.This question is from textbook an intermediate course in algebra
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Question 140426: The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company’s fixed costs allotted to this product is $300, and the supplier’s cost for a set of tile is $6 each. Let x represent the number of tile sets.
c. If b represents a fixed cost, what value would represent b?$300
d. Find the cost equation for the tile. Write your answer in the form C = mx + b.
The profit made from the sale of tiles is found by subtracting the costs from the revenue.
e. Find the Profit Equation by substituting your equations for R and C in the equation . Simplify the equation.
f. What is the profit made from selling 20 tile sets per month?
g. What is the profit made from selling 25 tile sets each month?
h. What is the profit made from selling no tile sets each month? Interpret your answer.
i. Use trial and error to find the quantity of tile sets per month that yields the highest profit.
j. How much profit would you earn from the number you found in part i?
k. What price would you sell the tile sets at to realize this profit (hint, use the demand equation from part a)?
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Question 140778: a two-digit number is equal to 3 times the sum of its digits.if the number obtained by reversing the digits is divided by the original number, the quotient is 2 and the remainder is 1. Find the original number
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Question 141323: the original problem was 4x-1=3x+15, I was told that my answer was algebraically correct but not graphically correct(The answer I got was x=16). I should look at it like y=4x-1 and y=3x+15. I don't understand where this came from or how to do this because if the equations are equal how will the intercept will they not be parallel lines?
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Question 143033: Well, I'm stuck on this one, I'm not even sure I know where to start. I can find all sorts of examples of the formula to practice with but they all involve whole numbers rather than the fraction and that is what is messing me up. The question wants me to determine what either x or y would be given the other and then what (x,y) would be. I'm lost. Thanks for any help you can provide
Suppose you want to add a sprinkler system, and the location of one section of the sprinkler line can be described by the equation
y = -1/2x-4
Complete the table for this equation.
if x = -2 then y = (what) and(x,y)= (what)
if x = (what) then y= -4 and (x,y)= (what)
if x = 2 then y = (what) and(x,y)= (what)
if x = 8 then y = (what) and(x,y)= (what)
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Question 144057: The fifth number plus the third number equals fourteen.
The fourth number is one more than the second number.
The first number is one less than twice the second number.
The second number plus the third number equals ten.
The sum of all five numbers is 30.
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Question 144279: How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation and put an inequality sign in its place, is there ever a time when the same value will be a solution to both the equation and inequality? Write an inequality and provide a value that may or may not be a solution to the inequality.
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Question 144527: Lost again, this one seems like it is not even in the book for how to solve it. Any help would be appreciated.
In 1920, the record for a certain race was 45.4 sec. In 1960, it was 44.6. Let R(t)= the record in the race and t= the number of years since 1920.
a) Find a linear frunction that fits the data.
b) Use the function in (a) to predict the record in 2003 and in 2006.
c) Find the year when the record will be 43.6 sec.
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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
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