Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1151212: 2x-7=-1

Click here to see answer by ikleyn(52776)

Question 1151218: Hi. How would you solve this using the Quadratic Formula?
The rectangle has an area of 180 square inches. Find the value of x. Solve algebraically, using the quadratic formula.
And help is appreciated! Thank you!

Click here to see answer by Alan3354(69443)

Question 1151222: Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit. Let
p(x) represent Primo Pizza's profit (in dollars) x days after June 1. Let s(x)represent Pizza Supreme's profit (in dollars) x days after June 1.

C. Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit. Let
p(x )represent Primo Pizza's profit (in dollars) x days after June 1. Let s(x)represent Pizza Supreme's profit (in dollars) x days after June 1.
i. Write a function formula for p using the function s.
p(x)=
ii.Write a function formula for s using the function p.
s(x)=
Click here to see answer by ikleyn(52776)

Question 1151285: y=a(x-r)(x-s)
x -intercepts:-4,4
Click here to see answer by Edwin McCravy(20054)

Question 1151312: If (s - 3) ^ 2 = 0 , what is the value of (s + 3)(s + 5) ?
Click here to see answer by ikleyn(52776)

Question 1151314: If r and a represent the solutions of the equation (3k + 14) * k = 5 and r > s, what is the value of the difference of r - s?
Click here to see answer by ikleyn(52776)

Question 1151314: If r and a represent the solutions of the equation (3k + 14) * k = 5 and r > s, what is the value of the difference of r - s?
Click here to see answer by greenestamps(13198)

Question 1151571: Find the maximum/minimum value and the value of x when it occurs by completing the square.
a) y=5x^2-40x+81
b) y=-3x^2-30x-79
Click here to see answer by Boreal(15235)

Question 1151571: Find the maximum/minimum value and the value of x when it occurs by completing the square.
a) y=5x^2-40x+81
b) y=-3x^2-30x-79
Click here to see answer by MathLover1(20849)

Question 1151571: Find the maximum/minimum value and the value of x when it occurs by completing the square.
a) y=5x^2-40x+81
b) y=-3x^2-30x-79
Click here to see answer by MathTherapy(10551)

Question 1151576: How to find x-intercepts from this equation: f(x) = 3x^2 + x -4. Then round answers to two decimal places.
Click here to see answer by math_helper(2461)

Question 1151577: If the x-intercepts are 1 and 5, what is a possible equation to represent the function.
Click here to see answer by MathLover1(20849)

Question 1151572: Determine the maximum sales and optimal price.
a) Bob can sell 200 cars at $20 000 each but finds that every $10 000 increase in price causes a 5-car drop in sales
Thanks :)
Click here to see answer by ikleyn(52776)

Question 1151586: Determine the maximum sales and optimal price.
a) Bob can sell 200 cars at $20 000 each but finds that every $1000 increase in price causes a 5-car drop in sales
Thanks :)
Click here to see answer by ikleyn(52776)

Question 1151585: Determine the maximum sales and optimal price.
Tom can sell 200 cars at $20 000 each but finds that every $1000 increase in price causes a 5-car drop in sales

Click here to see answer by ikleyn(52776)

Question 1151600: 2x+12y=-7,4x-3y=7
Click here to see answer by Edwin McCravy(20054)

Question 1151629: i)Find the maximum/minimum height in h metres.
ii) time when it occurs in t seconds
iii) initial height
a) h=0.03t^2-0.6t+4
b) h=-5t^2+20t

Click here to see answer by ikleyn(52776)

Question 1151830: fireworks are shot upward with an initial velocity of 128 feet per second from a platform that is 3 feet above the ground. What is the peak of the fireworks? When does it get to the peak.
Click here to see answer by Alan3354(69443)

Question 1151789: Marcus states that the polynomial expression

is in standard form. Ariel states that it should be
. Explain which student is correct and why.
Click here to see answer by Edwin McCravy(20054)

Question 1152067: A quadrilateral (A four sided figure) Is constructive so that Shortest three Lengths are consecutive odd integers. The longest side is 15 feet longer than the shorter side, The perimeter of the quadrilateral is 305 feet.
Click here to see answer by josgarithmetic(39616)

Question 1152139: (a)The area of a rectangular field is 8415 m2 .
If the length of the field is 99 m , what is its width?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1152181: A piece of wire 10 m long is to be cut into two pieces. One piece is bent into a square, and the other into a circle. How can the wire be cut so that the area enclosed by the two shapes is minimized? Give your answer to the nearest tenth.
Click here to see answer by math_helper(2461)

Question 1152184: A rectangle is inscribed in an isosceles triangle with one of the sides of the rectangle on the base of the triangle. Prove that the rectangle of greatest area occupies half the area of the triangle,
Click here to see answer by MathLover1(20849)

Question 1152182: Point P (u,v) is in the first quadrant on the graph of the line connecting the points (0,4) and (4,0). A shaded triangular region is shown in the diagram. For what point P will the area of the shaded triangular region be a maximum?
Click here to see answer by MathLover1(20849)

Question 1152314: Point P (u,v) is in the first quadrant on the graph of the line connecting the points (0,4) and (4,0). A shaded triangular region is shown in the diagram. For what point P will the area of the shaded triangular region be a maximum?
Click here to see answer by ikleyn(52776)

Question 1152321: if one of the roots of the equation 3x^2+19x+k=0 is -7 Find the value of k
Click here to see answer by MathLover1(20849)

Question 1152328: Write the quadratic equation whose rights are -4 and 1 and who's leading coefficient is five
Click here to see answer by MathLover1(20849)

Question 1152376: Find the vertex form of the parabolic equation with -21 and -5 as x intercepts
and -24 as the minimum value
Click here to see answer by josgarithmetic(39616)

Question 1152370: A public vegetable garden is divided up in different shapes for those who wish to grow vegetables there. Mitch’s piece is in the shape of a right triangle and has an area of 40 square feet. The longer leg is 6 feet less than twice the shorter leg. What are the lengths of the two legs of that triangle?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1152371: The profit P, in dollars, gained by selling x computers is modeled by the equation latex-2f58c590f278b5b25c646e23c6e663c3_5e389f2b2d085.png. How many computers must be sold to obtain a profit of $55,000.00?
Click here to see answer by ikleyn(52776)

Question 1152411: 3x^2+x-7=0
Click here to see answer by josgarithmetic(39616)

Question 1152482: 2.) x,y (3,1) xy (-3,4)
y=mx+b
3=6x+b=
-b+3=6x
-b=6x-3
b=-6x+3
-1x(-b)=-1x6x-1x(-3)
b=-1x6x-1x(-3)
b=-6-1x(-3)
b=-6x+3
-6/3 = -2
-(6/3)=-2
Rise= 6
Run= 3
I am not sure what I did wrong cam I please get some help??
Find the slope and the y-intercept of the line shown below. Then write its
equation in the slope-intercept form.
Click here to see answer by Boreal(15235)

Question 1152545: 4x − 11x^1/2 + 6 = 0
Showing all necessary working, solve the equation
Click here to see answer by ikleyn(52776)

Question 1152646: An object is launched straight up into the air at an initial velocity of 64 feet per second. It is launched from an initial height of 6 feet off the ground. Find all times t that the object is at a height of 54 feet off the ground.

Click here to see answer by ankor@dixie-net.com(22740)

Question 1152649: .American astronauts working on a space station on the moon toss a ball into the air. The height of the ball is represented by the equation f(t)=-2.7t^2+13.5t+14 where t represents time in seconds since the ball was thrown and f(t) represents the height of the ball in feet.
a. When will the ball hit the ground? seconds (round to the nearest hundredth)
b. What is the greatest height the ball will reach? feet (round to the nearest hundredth)
Click here to see answer by Boreal(15235)

Question 1152648: The profits of Mr. Unlucky’s company can be represented by the equation p(x)=-3x^2+18x-4 where p(x) is the amount of profit in hundreds of thousands of dollars and x is the number of years of operation. He realizes his company is on the downturn and wishes to sell before he ends up in debt.
a. When will Mr. Unlucky’s business show the maximum profit? ___ years
b. What is the maximum profit? ____ hundreds of thousands
c. During what time period will Mr. Unlucky expect his business’ profits to be on the downturn? After ___ years
Click here to see answer by Boreal(15235)

Question 1152645: The profit P, in dollars, gained by selling x computers is modeled by the equation P=-5x^2+1000x+5000 How many computers must be sold to obtain a profit of $55,000.00?
Click here to see answer by Boreal(15235)

Question 1152647: A square and rectangle have the same area. The length of the rectangle is five inches more than twice the length of the side of the square. The width of the rectangle is 6 inches less than the side of the square. Find the length of the side of the square.
Click here to see answer by Boreal(15235)

Question 1152739: A rectangular parking lot has a length that is 6 yards greater than the width. The area of the parking lot is 520 square yards. Find the length and the width.
Click here to see answer by josgarithmetic(39616)

Question 1152916: The length of a rectangle is 7cm less than twice the width. Find the perimeter of the rectangle if it’s area is 72cm squared
Click here to see answer by josgarithmetic(39616)

Question 1152916: The length of a rectangle is 7cm less than twice the width. Find the perimeter of the rectangle if it’s area is 72cm squared
Click here to see answer by ikleyn(52776)

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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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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, 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