Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1168581: Explain how you know when using the quadratic formula that a quadratic relation has zero, one or two x-intercepts.

Click here to see answer by math_helper(2461)

Question 1168586: The cost, C, in dollars, to hire landscapers to weed and seed a local park can be modelled by C equals 9 x squared minus 72 x plus 1050, where x is the number of landscapers hired to do the work. How many landscapers should be hired to minimize the cost? What is the minimum cost?
Click here to see answer by htmentor(1343)

Question 1168633: The product of two numbers is 88. One number is less than the other. What are the numbers?
Click here to see answer by josgarithmetic(39616)

Question 1168633: The product of two numbers is 88. One number is less than the other. What are the numbers?
Click here to see answer by ikleyn(52776)

Question 1168634: Lucas increased the area of his rose garden by 165m^2. The rectangular garden was originally by 16m and 12m, and he increased the length and width by the same amount. Find the final dimension of the garden.

Click here to see answer by josgarithmetic(39616)

Question 1168779: larry's time to travel 156 kilometers is 1 hour more than terrell's time to travel 108 kilometers. Terrell drove 2 kilometers per hour faster than larry. how fast did each one travel?
Click here to see answer by ikleyn(52776)

Question 1168783: prove that if the sum of the sequence of the roots of the equation ax^2+bx+c=0 is 1 then b^2=2ac+a^2
Click here to see answer by math_tutor2020(3816)

Question 1168806: Can I please have help with this question? Thank you in advance.
A man has marked off an area in his yard where he will plant a garden. Find the dimensions of the rectangular area if the length is 3 feet more than 3 times the width and the area is 396 square feet.
Click here to see answer by ikleyn(52776)

Question 1168782: prove that if the sum of the sequence of the roots of the equation ax^2+bx+c=0 is 1 then b^2=2ac=a^2
Click here to see answer by ikleyn(52776)

Question 1168993: Can you please help me understand how to solve
Y = -x2 + 2x + 4
x+y = 4
(that is -x squared)
Click here to see answer by ikleyn(52776)

Question 1168987: Find a formula for a quadratic function whose graph has
x-intercepts at (1, 0) and (5, 0), and y-intercept at (0, 7).

Click here to see answer by josgarithmetic(39616)

Question 1169125: A rectangle has perimeter 56 feet and it’s area is 180 sq feet find the dimensions of this rectangle.
Length =
Width =
Thank you
Click here to see answer by MathLover1(20849)

Question 1169124: h = -16t^2 + 131t + 100
Find the two points in time when the object is 148 feet above the ground . Round your answer to the nearest hundredth of a second (two decimal places)
Click here to see answer by ikleyn(52776)

Question 1169150: For what values of x is the quantity x−3 negative? Enter your answer as an inequality.

Click here to see answer by josgarithmetic(39616)

Question 1169150: For what values of x is the quantity x−3 negative? Enter your answer as an inequality.

Click here to see answer by ikleyn(52776)

Question 266899: what are the zeroes of 5x^2-13x=-6
Click here to see answer by gsmani_iyer(201)

Question 1169177: Determine the quadratic function that has x-intercepts -4 and -7 and passes through (-1, 36).
Click here to see answer by josgarithmetic(39616)

Question 1169345: If the sum and product of a quadratic equation is -4 and 4 respectively, then the quadratic equation is
Click here to see answer by ikleyn(52776)

Question 1169381: Consider solving the following formula for the variable r. See Example 4. (Objective 2)
A = 2𝜋r2 + 2𝜋hr
(the formula for the surface area of a right circular cylinder)
Write the formula in
ar2 + br + c = 0
form with
a > 0.
1. = 0
Identify the values a, b, and c.
2.a =

3.b =

4.c =

Solve the formula for r. (Enter your answers as a comma-separated list.)
5. r =

Click here to see answer by josgarithmetic(39616)

Question 1169337: The approximate pulse rate (in beats per minute) of an adult who is t inches tall is given by the following formula.
p2 = 348,100 over t
Find the pulse rate of an adult who is 75 inches tall. (Round your answer to the nearest integer.)
The rate is about beats per minute?
Click here to see answer by The Troll Kid(22)

Question 1169406: xsquared+8x-20=0
Click here to see answer by Solver92311(821)

Question 1169453: 4x^2-24x-28=0
Click here to see answer by ikleyn(52776)

Question 1169435: An express train is 50 kph faster than the freight train. If it takes 2 hour less for the express train to travel 600 km as compare to the freight train, how fast is the express train?
Click here to see answer by Boreal(15235)

Question 1169474: The product of two consecutive odd integers is 323. Find the integers. (Hint: If one odd integer is x, the next consecutive odd integer is x + 2. Simplify your answers completely. Enter your answers as a comma-separated list.)
The negative integers are ?
.
The positive integers are
. ?
Click here to see answer by josgarithmetic(39616)

Question 1169491: the length of a triangle is 4 meters less than twice its width. The area of the triangle is 70m^2. find the dimensions of the rectangle
Click here to see answer by ikleyn(52776)

Question 1169606: Pls may I ask a question.thank you in advance.A certain pipe can fill up a tank 2hours faster than another pipe.It takes 3 and__hours both pipes to fill up the same tank.How many hours would the first pipe fill up the tank?
Click here to see answer by ikleyn(52776)

Question 1169607: The function Q (1)= 0.003r 0.625t 25 represents the amount of energy in a battery after t minutes of use.
(a) State the amount of energy held by the battery immediately before it was used.
(b) Calculate the amount of energy available after 20 minutes.
(c) Given that Q (10) = 19.05., find the average amount of energy produced per minute for the interval 10 S1320
(d) Calculate the number of minutes it takes for the energy to reach zero.
Click here to see answer by ikleyn(52776)

Question 1169608: The function Q (t)= 0.003r^2 - 0.625t 25 represents the amount of energy in a battery after t minutes of use.
(a) State the amount of energy held by the battery immediately before it was used.
(b) Calculate the amount of energy available after 20 minutes.
(c) Given that Q (10) = 19.05, find the average amount of energy produced per minute for the interval 10 ≤ t ≤ 20
(d) Calculate the number of minutes it takes for the energy to reach zero.
Click here to see answer by ikleyn(52776)

Question 1169609: The function Q (t)= 0.003t^2 - 0.625t + 25 represents the amount of energy in a battery after t minutes of use.
(a) State the amount of energy held by the battery immediately before it was used.
(b) Calculate the amount of energy available after 20 minutes.
(c) Given that Q (10) = 19.05, find the average amount of energy produced per minute for the interval 10 ≤ t ≤ 20
(d) Calculate the number of minutes it takes for the energy to reach zero.
Click here to see answer by htmentor(1343)

Question 1169663: Suppose the volume of the boxhill planter is modeled by (x3 + 7x2 + 6x ) ft3 , where x is the required height of the boxhill.

Click here to see answer by ikleyn(52776)

Question 1169668: Suppose the volume of the boxhill planter is modeled by (x3 + 7x2 + 6x ) ft3 , where x is the required height of the boxhill.

Find the length and width of the boxhill?
If the required height is 2 feet, how long and wide would the boxhill planter be?

Click here to see answer by josgarithmetic(39616)

Question 1169690: A model rocket is launched from the top of a building. The height (in meters) of the rocket above the ground is given by ℎ(𝑡) = −16𝑡^2 + 24𝑡 + 14, where t is the time (in seconds) since the rocket was launched. What is the rocket’s maximum height?
Click here to see answer by Boreal(15235)

Question 1169633: An athletic store sells about 200 pairs of basketball shoes per month when it charges $120 per pair. For each $2 increase in price, the store sells two fewer pairs of shoes. How much should the store charge to maximize monthly revenue? What is the maximum monthly revenue?
Click here to see answer by josgarithmetic(39616)

Question 1169986: You and a friend are driving on the road. Your path can be modeled by the equation y=X^2-4x-1 and your friends path can be modeled by the equation y=2x+8. Do your paths cross each other? If so, what are the coordinates of the point(s) where the paths meet?

Click here to see answer by ikleyn(52776)

Question 1170015: x3-y3 /z when x=3 y=2 and z=19
Click here to see answer by greenestamps(13198)

Question 1170073: The floor of a conference hall can be covered completely with tiles.Its length is 10m longer than its width.The area of the floor is grater than 600m²
How would you represent the width of the floor?how about its length?
What is mathematical sentence would represent the given situation?
What are the possible dimension of the floor?
What are the possible areas of the floor?
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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