Tutors Answer Your Questions about Linear-equations (FREE)
Question 78980: Business and finance- The cost of producing a number of items x is given by C=mx+b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item)
(a) If the fixed cost is $40 and the variable cost is $10, write the cost equation.
(b) Graph the cost equation
(c) The revenue generated from the sale of x items is given by R=50x. Graph the revenue equation on the same set of axes as the cost equation.
(d) How many items must be produced for the revenue to equal the cost (the break-even point)?
Click here to see answer by renevencer22(21)  |
Question 79162: Can someone help me with this problem? I'm stuck!!! I'm in a class that is over my head. Help!!!!!!!!!!!!!!!!!!!!
For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space.
b) What is the equation for the line of symmetry for the graph of this function?
Answer:
c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Show graph here.
Explanation of graphing.
d) In your own words, describe how this graph compares to the graph of y = x2?
Answer:
Click here to see answer by Earlsdon(6294) |
Question 79214: Can anyone give me any insight into this? I'm stuck! Any help would be deepley appreciated. Thanks.
When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminant is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation
Click here to see answer by scott8148(6628)  |
Question 79339: How do I go about finding the slope of of the line through the following pairs of points? (-5, -3) and (-5, 2)
I am guessing that the answer to the second one is -5/2..Am I right? Please explain, Thank You...
Click here to see answer by stanbon(75887) |
Question 79384: Complete the ordered pairs so that each is a solution for the given equation.
3x+4y=12 (0,_), (_,3/4), (_,0), (8/3,_) I do not have a clue as to where to start with this problem. I would really appreciate it if someone would please explain it step by step to help me understand the problem.
Click here to see answer by tutorcecilia(2152)  |
Question 79398: please help me with these problems.
Write the equation of the line passing through each of the given pairs, write your result in slope-intercept form, when possible.
(-1,3)and (4,-2)
(2,-3)and (2,4)
Thank you for your help
Click here to see answer by checkley75(3666) |
Question 79513: The cost of producing a number of items x is given by c=mx+b, in which b is the fixed cost and m is the variable cost ( the cost of producing one more item.
a)If the fixed cost is $40 and the variable cost is $10, write the cost equation.
Click here to see answer by stanbon(75887) |
Question 79543: Can someone please help me with this problem? It is due today.
Technology. Driving down a mountain, Tom finds that he has descended 1800 ft in evevation by thr time he is 3.25 mi horizontally away from the top of the mountain. Find the slop of his descent to the nearest hundredth.
Click here to see answer by stanbon(75887) |
Question 79544: Can someone please help me with this problem? It is due today.
In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. find the equation that relates C and x
Click here to see answer by stanbon(75887) |
Question 79505: 2x+y+4=0
x-y+2=0
Note to student: i have changed your equations by adding =0 to each one. There is no other way to have a linear equation - in an equation there is always an equal sign.
Click here to see answer by erimir(14) |
Question 79607: Does anyone have any idea what this problem means? Any help would be appreciated!
Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a) What is the function that describes this problem?
Answer:
b) The ball will be how high above the ground after 1 second?
Answer:
c) How long will it take to hit the ground?
Answer:
d) What is the maximum height of the ball?
Answer:
Show work in this space.
Click here to see answer by stanbon(75887) |
Question 79676: Can anyone make any sense out of this problem? I don't understand at all the statements about calculus and/or how it would even look or where I would even begin. Any suggestions?
The perimeter = 2L +2W = 400 or L+W = 200
The area = LW so if you substitute for L you get (200-W)W = A
or A = 200W -W^2
If you're allowed to use calculus, you can show easily that the maximum
area occurs when W = 100 which, of course, means that L = 100 and you have a square plot.
If you can't use calculus, you can simply put in a value for W, calculate A, and keep trying until you find the maximum value for A.
Click here to see answer by jim_thompson5910(35256) |
Question 79648: Hello,I'm having problems with some slope-intercept problems that I really need help with,The first one is,Write an equation in slope-intercept form of a line with the following characteristics:perpendicular to the graph of:2x-3y=12 and passes through (4,3).The next one is,Write an equation in slope-intercept form of a line with the following characteristics.Perpendicular to the graph of:y=3/2x-3 with a y-intercept of 5.The third one is,Write an equation in slope-intercept form of a line with the following characteristics:parallel to the graph of:-4x+3y=12 and passes through the origin.And the last one is,Change y=x-3 so that the graph of the new equation has a steeper,negative slope and the same y-intercept,thanks to whoever can help.
Click here to see answer by checkley75(3666) |
Question 79724: Here is my problem. I have state the problem, as it has been put to us and just below it, I have shown what I have done to this point. I'm not sure I can get any more of it and make any sense with it. Can you help? Thanks in advance.
When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminant is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
• Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation.
• Search the Library and Internet. In the real world, where might these imaginary numbers be used?
ax2 + BX + C = 0
Move terms containing A to the left and the others to the right.
ax2 = - BX - C
ax2 = - (-XB+C)
Here Divide by X to isolate A.
-
A = + - (-XB+C)
2
X
ax2 + BX + C = 0
Solution
A = +- (-XB+C) ____
2
X
Click here to see answer by stanbon(75887) |
Question 79518: Hello out there,I have some point-slope problems that I need help with,the first one is,Write the point-slope form of the line that passes through (4,-1) with the slope of 2.The next one is,Write the point-slope form of the line that passes through (3,-3)and (5,1).The third one is,Write an equation in slope-intercept form of the line having the given slope and passing through the given point:m=-3,(4,-1).And the last one is,Write an equation in slope-intercept form of the line having the given slope and passing through the given point:m=0,(0,-3).Thank you to whoever can help.
Click here to see answer by tutor_paul(519)  |
Question 79766: Use FOIL to multiply:
(4x – 9)(3x – 5)
As you should already know, FOIL means, first-outer-inner-last
multiply:
F means to first multiply First terms, which are 4x and 3x and it = 12x^2
O means to secondly multiply the Outer terms, which are 4x and -5 and it= -20x
I means to thirdly multiply the Inner terms, which are -9 and 3x and it= -27x
L means to lastly multiply the Last two terms, which are -9 and -5 and it= 45
Now you have come up with the solution, 12x^2-20x-27x+45 since you have two variables(-20x and -27x) that are alike you may add them together.
The outcome should be 12x^2-47x+45 is the solution to the product of those two binomials.
6. Multiply:
(x4 + 3x2 – 1)(x2 – x + 2) I am going to introduce to you the vertical method for this one.
In the vertical method, you simply multiply the equations as you would do any other math multiplication problem.(Set the problem up as if were a regular problem as demonstrated below):
x4+3x2-1
x2-x+2
---------
4x4+6x2-2
x5-3x3+1x
+ x6 +3x4-1x2
----------------------
x6+x5-3x3+x+7x4+5x2-2
this is your product. now all you have to do is put your equation in order from least to greatest by exponents in this case because sometimes its by varibles.
x6+x5+7x4-3x3+5x2+x-2
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 79766: Use FOIL to multiply:
(4x – 9)(3x – 5)
As you should already know, FOIL means, first-outer-inner-last
multiply:
F means to first multiply First terms, which are 4x and 3x and it = 12x^2
O means to secondly multiply the Outer terms, which are 4x and -5 and it= -20x
I means to thirdly multiply the Inner terms, which are -9 and 3x and it= -27x
L means to lastly multiply the Last two terms, which are -9 and -5 and it= 45
Now you have come up with the solution, 12x^2-20x-27x+45 since you have two variables(-20x and -27x) that are alike you may add them together.
The outcome should be 12x^2-47x+45 is the solution to the product of those two binomials.
6. Multiply:
(x4 + 3x2 – 1)(x2 – x + 2) I am going to introduce to you the vertical method for this one.
In the vertical method, you simply multiply the equations as you would do any other math multiplication problem.(Set the problem up as if were a regular problem as demonstrated below):
x4+3x2-1
x2-x+2
---------
4x4+6x2-2
x5-3x3+1x
+ x6 +3x4-1x2
----------------------
x6+x5-3x3+x+7x4+5x2-2
this is your product. now all you have to do is put your equation in order from least to greatest by exponents in this case because sometimes its by varibles.
x6+x5+7x4-3x3+5x2+x-2
Click here to see answer by AmberLRO(1) |
Question 79795: A professor stared a project with a group of students, 60% of whom were boyus. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boxys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initially.
Click here to see answer by ankor@dixie-net.com(22740) |
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17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045
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