Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 879477: Hi,
1.Find the (x,y) coordinate of the maximum or minimum value
of the following quadratic equation: 0.125x2 - 1.625x + 5 = y
Express the y-coordinate value to the nearest thousandth.
2.The coordinate determined in the problem above is a(n)
a. mimumum value
b. maximum value
Click here to see answer by ewatrrr(24785)   |
Question 879478: hello,
part 1.Find the (x,y) coordinate of the maximum or minimum value
of the following quadratic equation:
1 1
- x^2 - x + 8 = y
6 3
part 2.The coordinate determined in the problem above is a(n)
a. maximum value
b. minimum value
Click here to see answer by ewatrrr(24785) |
Question 879481: hello,
1.What is the (x,y) coordinate of the maximum or minimum
value of the following quadratic equation: -0.1x2 + 0.1x + 3 = y.
2.The derivative of y = ax2 + bx + c is
a. y' = 2ax2 + 2bx + c
b. y' = 2ax + b
ax
c. y' = + bx
2
d. none of the above
Click here to see answer by ewatrrr(24785) |
Question 879489: Dear Math Tutor,
Please help me with: Write x^2 + 10x + 38 in the form (x+b)^2+c where the values of b and c are to be found.
a) State the minimum value of x^2 + 10x + 38 and the value of x for which this occurs.
b) Determine the values of x for which x2+10x+38 is greater than or equal to 22.
-----------------------------------------------------------------------
Completed square form of x^2 + 10x + 38 is (x+5)^2 + 13
therefore b=-5 and c=13
a) minimum value of x^2 + 10x + 38 is x less than or equal to 13
b) 12x+38=22
x=-1 and 1/3 or -4/3
so values for which x2+10x+38 is greater than or equal to 22 is x must be greater than or equal to -4/3.
--------------------------------------------------------------
Is all of that correct? I cant help but feel Im missing something as its out of 12 marks.
Please advise,
With gratitude
Nat
Click here to see answer by ewatrrr(24785) |
Question 879492: hello,
The solution
5 3
1. x = ± means
2 2
a. 1 1
x = 2 and x = 1
2 2
b. x = 1 and x = 4
c. x is a radical
d. none of the above
2. The first derivative of a quadratic equation, when set equal to zero,
allows for the determination of
a. the direction of upward or downward bending of the parabola
b. the slope at any point on the curve
c. the maximum or minimum y-coordinate
d. the maximum or minimum x-coordinate
Click here to see answer by ewatrrr(24785) |
Question 879523: Hello!
This is under Statistics and Probability
1.Selecting 5 students to participate in a math contest would require
the calculating of a
a. permutation
b. combination
2.Selecting a lead and an understudy for a special drama performance
would require the calculating of a
a. permutation
b. combination
Click here to see answer by ewatrrr(24785) |
Question 879527: Hello!
This is under Statistics and Probability
1.There are 16 juniors and 8 seniors in the Chess Club. If the club
members decide to send 9 juniors to a tournament, how many different
possibilities are there?
2.
How many ways can 20 objects be arranged into groups of 5? (order
does not matter)?
Click here to see answer by ewatrrr(24785) |
Question 879524: Hello!
This is under Statistics and Probability
1.How many different ways are there to select 5 starters from a team
of 12 players? (Order is not important.)
2.How many different 2-letter words can you form from the word
TABLES?
3. There are 16 juniors and 8 seniors in the Chess Club. How many
different ways are there to select a group of 4 students to attend the
state championships?
Click here to see answer by ewatrrr(24785) |
Question 879540: 6. Your company uses the quadratic model y = -7x2 + 350x to represent how many units y of a new product will
be sold x weeks after its release. How many units can you expect to sell in week 27?
Click here to see answer by rfer(16322) |
Question 879707: The quadratic function f(x)= px^2 + qx + r has f(0)= 35,f(1)=20 and f(2)=11.
Find the values of the constants p,q,r.
Express f(x) in the form a(x+b)^2+c. Use your answer to find the smallest value of f(x).
please help
thank you
Click here to see answer by ewatrrr(24785) |
Question 879813: determine which of the following sttements are ture if parabola 1 has the equation y= x^2-4x-12 and parabola 2 has zeros at x=4 and x=-2?
does parabola 1 has a lower minimun then parabola 2?
does parabola 1 crosses the y-axis higher then parabola 2?
Click here to see answer by josgarithmetic(39613) |
Question 879813: determine which of the following sttements are ture if parabola 1 has the equation y= x^2-4x-12 and parabola 2 has zeros at x=4 and x=-2?
does parabola 1 has a lower minimun then parabola 2?
does parabola 1 crosses the y-axis higher then parabola 2?
Click here to see answer by lwsshak3(11628) |
Question 879938: The quadratic function f(x)= px^2 + qx + r has f(0)= 35,f(1)=20 and f(2)=11.
Find the values of the constants p,q,r.
Express f(x) in the form a(x+b)^2+c. Use your answer to find the smallest value of f(x).
The only thing I know is r = 35 (and that was with the help of someone)
please help
thank you
Click here to see answer by ewatrrr(24785) |
Question 880671: can you please help me factor this 2a^2-8b^2+16b-8
I get the following
2(a^2-4b^2+8b-4)
2[-a^2(4b^2-8b+4)]
2[-a^2(2b+2)^2]
then the book gives the following answer
but I am unable to "see" how the signs translate in the answer
2(a+2b-2)(a-2b+2)
Click here to see answer by KojackDavis(3)  |
Question 880694: quadratic applications:
A Paper company has determined that when x Boxes of paper are produced,then the average cost of box of paper is given by
-> C(X)=0.1x^2-15.2x+579.1
where C(X)is the average cost in dollars. How many boxes should be produced in order to minimize the average cost? i am so confused we can use the graphing calc but i plug it in and nothing shows up also have to find the min or max value.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 881071: I guess it would be really easy for a lot of people out there but I just do not know how to solve this problem:
Edna paid at least Php1,200 for a pair of pants and a blouse. The cost of the pair of pants is Php600 more than the cost of the blouse.
I've tried using these two formulas but I don't think either of them is right.
Let x= blouse
x+600= pair of pants
1200= total
x+x+600+1200
2x+600=1200
2x=600+(-1200)
2x=600
2x=600/2
x=300
and
Let x=blouse
x-600= pair of pants
 = total
()/x
2=x
It would be a great help if someone could help me out. Thank you for reading!
Click here to see answer by Boyen(12) |
Question 881083: Hi,
Can somebody please help me out?
Our teacher instructed us to answer a few questions and I'm unfortunately stuck here on the third which is:
A motorcycle driver travels 15 kph faster than a bicycle rider. The motorcycle driver covers 60 km in two hours less than the time it takes the bicycle rider to travel the same distance.
I figured it would be something like
Speed
Let x = bicycle driver
x+15 = motorcycle rider
Time
Let x = motorcycle driver
x+2 = bicycle driver
60 = total
x+x+2=60
2x+2=60
2x+2-60
2x-58
x=29
x+x+15=60
2x+15=60
2x+15-60
2x-45
x=22.5
Any help would be appreciated! I'm still trying to solve this though.
Click here to see answer by Fombitz(32388)  |
Question 881195: In "completing the square" to derive the quadratic equation, there is a step in which the square root is taken of both sides of the equation. This yields x + b/(2a) on the left. Meanwhile on the right, the square root of the numerator (b^2 - 4ac) is taken separately from the square root of the denominator (4a^2), so that the denominator can be expressed as 2a. The square root in the numerator is left in the finished quadratic formula and given a +/- symbol. I was wondering if anyone could help me understand why the square root in the denominator is 2a instead of +/-(2a). Why +/- in the numerator but NOT the denominator?
Click here to see answer by josgarithmetic(39613) |
Question 881195: In "completing the square" to derive the quadratic equation, there is a step in which the square root is taken of both sides of the equation. This yields x + b/(2a) on the left. Meanwhile on the right, the square root of the numerator (b^2 - 4ac) is taken separately from the square root of the denominator (4a^2), so that the denominator can be expressed as 2a. The square root in the numerator is left in the finished quadratic formula and given a +/- symbol. I was wondering if anyone could help me understand why the square root in the denominator is 2a instead of +/-(2a). Why +/- in the numerator but NOT the denominator?
Click here to see answer by KMST(5328)  |
Question 881234: The width of a rectangle is 8 less than twice its length. If the area of the rectangle is 79 cm^2 what is the length of the diagonal?
I am having trouble setting up my initial problem. I know that L X W = A and L X H = 79 cm^2.
So if the width is 8 less than twice its length, I set it up as: W = 2L - 8. Then I substituted 2L - 8 into my equation and came up with L(2L-8) = 79
2L^2 - 8L = 79.
Since I can't factor that, I used the quadratic formula to try to solve it. I come up with my length being 8.6. I plugged that into my formula to find the length. I came up with 9.2. I then multiplied 8.6 by 9.2 and came up with 79.12 so I figured I was ok on my area.
I then used a^2 + b^2 = c^2 and came up with 12.59 for my diagonal. The computer tells me I'm wrong. How do I solve this?
Can anyone help me?
Click here to see answer by KMST(5328) |
Question 881234: The width of a rectangle is 8 less than twice its length. If the area of the rectangle is 79 cm^2 what is the length of the diagonal?
I am having trouble setting up my initial problem. I know that L X W = A and L X H = 79 cm^2.
So if the width is 8 less than twice its length, I set it up as: W = 2L - 8. Then I substituted 2L - 8 into my equation and came up with L(2L-8) = 79
2L^2 - 8L = 79.
Since I can't factor that, I used the quadratic formula to try to solve it. I come up with my length being 8.6. I plugged that into my formula to find the length. I came up with 9.2. I then multiplied 8.6 by 9.2 and came up with 79.12 so I figured I was ok on my area.
I then used a^2 + b^2 = c^2 and came up with 12.59 for my diagonal. The computer tells me I'm wrong. How do I solve this?
Can anyone help me?
Click here to see answer by josgarithmetic(39613) |
Question 881234: The width of a rectangle is 8 less than twice its length. If the area of the rectangle is 79 cm^2 what is the length of the diagonal?
I am having trouble setting up my initial problem. I know that L X W = A and L X H = 79 cm^2.
So if the width is 8 less than twice its length, I set it up as: W = 2L - 8. Then I substituted 2L - 8 into my equation and came up with L(2L-8) = 79
2L^2 - 8L = 79.
Since I can't factor that, I used the quadratic formula to try to solve it. I come up with my length being 8.6. I plugged that into my formula to find the length. I came up with 9.2. I then multiplied 8.6 by 9.2 and came up with 79.12 so I figured I was ok on my area.
I then used a^2 + b^2 = c^2 and came up with 12.59 for my diagonal. The computer tells me I'm wrong. How do I solve this?
Can anyone help me?
Click here to see answer by MathTherapy(10549)  |
Question 881296: my friend has $828 to spend on a fence for her rectangular garden. She wants to use cedar fencing which costs $14/foot on one side, and cheaper metal fencing which costs $9 foot on the other three sides.
What are the dimensions of the garden with the largest area she can enclose.
length for cedar side
width for the other side
What is the largest area that can be enclosed?
Click here to see answer by josmiceli(19441)  |
Question 881317: The demand equation for a certain product is given by p = 132 - 0.015x, where p is the unit price (in dollars) of the product and x is the number of units produced. The total revenue obtained by producing and selling x units is given by R=xp.
Determine the prices that would yield a revenue of 9340 dollars
lowest price ___
highest price ___
I set up an equation 9430 = x(132-0.015x)
I thought I should solve for x and the substitute in to find p.
-132/(2 X -0.015) = 4400
I substituted 4400 for x in p=132-0.015x thinking I would get the a price -- $66.00 that was wrong.
I also tried to solve the above equation with the quadratic formula and couldn't come up with the answer either.
I put in 4400 and came up with 66 -- but that answer is neither the highest nor lowest price.
Click here to see answer by Fombitz(32388) |
Question 881317: The demand equation for a certain product is given by p = 132 - 0.015x, where p is the unit price (in dollars) of the product and x is the number of units produced. The total revenue obtained by producing and selling x units is given by R=xp.
Determine the prices that would yield a revenue of 9340 dollars
lowest price ___
highest price ___
I set up an equation 9430 = x(132-0.015x)
I thought I should solve for x and the substitute in to find p.
-132/(2 X -0.015) = 4400
I substituted 4400 for x in p=132-0.015x thinking I would get the a price -- $66.00 that was wrong.
I also tried to solve the above equation with the quadratic formula and couldn't come up with the answer either.
I put in 4400 and came up with 66 -- but that answer is neither the highest nor lowest price.
Click here to see answer by Theo(13342)  |
Question 881469: The line y = mx+3 and the curve x^2+c intersect only at one point. Where " c" and "m" are constants.
A. Find the possible set of values for "c" & " m"
B. find the coordinates of the point of intersection using the values obtained in A.
Click here to see answer by Fombitz(32388) |
Question 881994: A garden 7 m by 12 m will be expanded by planting a border of flowers. The border will be of the same width around the entire garden and has an area of 92 m2.
im very confused on this problem. it also needs to be identified if its quadratic equation or not. please do tell if it is.
Click here to see answer by rothauserc(4718)  |
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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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
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