Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 925988: You have a pool that measure 15 yards by 10 yards. You want to build a deck around all four sides of the pool and you want to increase the total area to 250 square yards. What is the width of the deck?
Click here to see answer by josgarithmetic(39613)

Question 925986: Write the equation of the quadratic function with roots -9 and and -3 and a vertex at (-6, -1)
Click here to see answer by Theo(13342)

Question 926011: Find the slope m of the line passing through the given points, if possible.
(6, −2) and (3, 4)
Click here to see answer by Fombitz(32388)

Question 926014: Graph the line that passes through the given point and has the given slope.
(-1,-5), m = 5/4

Click here to see answer by ewatrrr(24785)

Question 926013: Find the slope of the line, if possible.
x=7
Click here to see answer by ewatrrr(24785)

Question 926029: what are the roots of (x-76)^2 =y

Click here to see answer by ewatrrr(24785)

Question 926029: what are the roots of (x-76)^2 =y

Click here to see answer by Alan3354(69443)

Question 926012: Find the slope m of the line passing through the given points, if possible.
(-4, 4) and (-4, 8)
Click here to see answer by Alan3354(69443)

Question 926017: The following graph approximates the amount of milk produced per cow in the United States for the years 1996-2005. Find the rate of change.

lb/yr
http://www.webassign.net/tgintroalgp4/3-4-079.gif

Click here to see answer by MathLover1(20849)

Question 926018: Find the rate of change in the percent of individuals free of headache pain over the given time span after taking Ibuprofen.
% per hour

http://www.webassign.net/tgintroalg3/9-c-030.gif
Click here to see answer by MathLover1(20849)

Question 926016: To measure the amount of fall (slope) of a concrete patio slab, a 15-foot-long 2-by-4, a 1-foot ruler, and a level were used. Find the amount of fall in the slab.
Explain what it means.
The slab has a 1-in. fall for every in. of horizontal run.

http://www.webassign.net/tgintroalgp4/3-4-070.gif

Click here to see answer by rothauserc(4718)

Question 926078: If f(x) = 2x^2+5 The square root symbol (x-2 ), complete the following statement: f(6)= ?
Click here to see answer by Fombitz(32388)

Question 926010: Find the slope m of the line http://www.webassign.net/waplots/7/c/17cc61341062288626e82362bc4893.gif
Click here to see answer by Alan3354(69443)

Question 926130: 4x^2+x-20=0
Click here to see answer by jim_thompson5910(35256)

Question 926173: Write an equation of the line with the given slope and y-intercept. Then graph it.
m = −2, (0, 3)
Click here to see answer by jim_thompson5910(35256)

Question 926179: Find the slope m and the y-intercept of the graph of the equation. Then graph it.
26x - 13y = 39
slope m =
y-intercept (x, y) = ( , )

Click here to see answer by jim_thompson5910(35256)

Question 926177: Find the slope m and the y-intercept of the graph of the equation. Then graph it.
x + 5y = 15
slope m =
y-intercept (x, y) = ( , )

Click here to see answer by josgarithmetic(39613)

Question 926270: Hi,
I'm having a spot of trouble with the below question:
Find the points of intersection between:
the line y = 3x - 6 and
the curve y = x^3 - 6x^2 + 11x - 6
I've been doing this as a simultaneous equation, and working to:
0 = x^3 - 6x^2 + 8x
I have then tried to solve this by using the Factor Theorem, where f(2) = 0, therefore (x-2) is a factor, and then comparing coefficients to get an answer, which turns out to be (x-2)(x-1)(x-3). I can see that these are wrong from both the graph and because f(0) = 0 and f(4) = 0.
As such, if someone would explain where I'm going wrong here I'd be grateful - if there is no constant in the equation is there no need to work through the coefficient comparisons? Or am I missing something else entirely?
Thanks,
R
Click here to see answer by josmiceli(19441)

Question 926356: find the value of k that leads to two equal real roots for y=x^2+(k+2)x+2k
Click here to see answer by josgarithmetic(39613)

Question 926297: please help me in which form is y+20=8(x+7)^2 function written in?
Click here to see answer by MathLover1(20849)

Question 926380: The equation of the axis of symmetry of the graph of a quadratic function is x=-6. In addition the graph passes through the points (4,5) and (-6,4). Find the equation of this quadratic function in standard form.
Click here to see answer by josgarithmetic(39613)

Question 926521: Mr. Hanson wants to enclose a rectangular portion of his yard for his dog Gigi. He has 200 feet of fencing. He wants to maximize the amount of area.
Sketch and label the sides of the rectangle with variables.
Write and maximize a quadratic function for the AREA of his barking lot.
Click here to see answer by josmiceli(19441)

Question 926536: f(x)=.01(x-5)^2+17 represents the population of Happytown (in thousands) during the years 1884 to 1906, where x is the number of years after 1884.
a) What was the population of Happytown for the years 1901, 1884, and 1906?
b) In what year was the population the least? What was that population?
Click here to see answer by ryanprakohairy(10)

Question 926535: y=-16x^2+44x+30 represents the height of an object (in feet) that is fired up from an initial height and then lands on the ground some time (in seconds) later.
a) From what height was the object launched?
b) How high will the object reach? Atdfdfgtime will this occur?
c) For how many seconds will the object be in the air?
Click here to see answer by ryanprakohairy(10)

Question 926546: y=-16x^2+44x+30 represents the height of an object (in feet) that is fired up from an initial height and then lands on the ground some time (in seconds) later.
a) From what height was the object launched?
b) How high will the object reach? At what time will this occur?
c) For how many seconds will the object be in the air?
Click here to see answer by josmiceli(19441)

Question 926572: What is an equation of a quadratic function that has zero's at -3 and 5 and has a y-intercept at (0,30)?
Click here to see answer by MathLover1(20849)

Question 926813: If the width of a rectangle is equal to 1 cm what must the length be in order for its to be a golden rectangle?
Click here to see answer by stanbon(75887)

Question 926844: how do I multiply 2(15y+16)=
Click here to see answer by ewatrrr(24785)

Question 926844: how do I multiply 2(15y+16)=
Click here to see answer by MathLover1(20849)

Question 926885: Sketch the equation and label the equation -.5(x-0)(x-4) then rewrite into standard form, then write into vertex form.
I already have it sketched and labeled, I just need help rewriting into the last two forms, thanks!
Click here to see answer by josgarithmetic(39613)

Question 926964: How many terms are in this equation? Which integer is the coefficient? Check all the answers that apply.
4x + 5 = 15
Click here to see answer by ewatrrr(24785)

Question 927150: What is the equation of a parabola with a vertical stretch oshrink factor of 1/20th
Click here to see answer by josmiceli(19441)

Question 927198: Explain why 4x + 2(x + 3)+ 8 is equivalent to (4x + 2x)+ 6 + 8. Include the properties you used to justify your response.
Click here to see answer by TimothyLamb(4379)

Question 927004: Write a quadratic equation with leading coefficient of 1 having as its two roots the numbers obtained by increasing each root of x^2-2x-5 = 0 by the reciprocal of the other.

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

Question 927258: If h=-16t+96t represents the height of a rocket, in feet, t seconds after it was fired, when will the rocket hit the ground?
Click here to see answer by Alan3354(69443)

Question 927254: A rectangle and a square have the same area. The width of the rectangle is 6 cm less than the side of the square, and the length of the rectangle is 5 cm more than twice the side of the square. What are the dimensions of the rectangle?
Click here to see answer by ewatrrr(24785)

Question 927249: how to solve the equation by converting to the form ax^2+bx+c=0 then factoring and using the zero product property 8x^2-14x=15

Click here to see answer by MathLover1(20849)

Question 927385: The square of a number exceeds the number by 72. Find the number
Click here to see answer by TimothyLamb(4379)

Question 927379: Dear Tutor,
Your help in solving this problem is much appreciated. Thank you!
A rectangular field is 300 yards by 500 yards. A roadway of width x yards is to be built inside
the field. This problem concerns the region inside the roadway.
a. Write the length and width of the region as functions of x. What kind of functions are these?
)I found the answer but don't understand why it is so)
L for length(x) = 500-2x
w for width(x) = 300-2x (why 2x instead of x?)
Linear Function
500 (sorry not drawn to scale)
__________________
l l
l _____x_____ l
l l l l
l l l l 300
l l l l
l l l l
l ---------- l
l l
----------------
b. Write the area of the region as a function of x. What kind of function is this?
A (x) = (500-2x)(300-2x)
= 4x^2 -1600x + 150.000
Quadratic
c. Find the value of x which makes the roadway have an area equal to the area of the field.
Click here to see answer by rothauserc(4718)

Question 927524: The base of a triangle is 3cm longer than it's corresponding height. If the area is 44cm^2, find the length of it's base

Click here to see answer by MathLover1(20849)

Question 927524: The base of a triangle is 3cm longer than it's corresponding height. If the area is 44cm^2, find the length of it's base

Click here to see answer by ewatrrr(24785)

Question 927523: Twice a certain whole number subtracted from 3times the square of the number leaves 133. Find the number

Click here to see answer by ewatrrr(24785)

Question 927523: Twice a certain whole number subtracted from 3times the square of the number leaves 133. Find the number

Click here to see answer by MathLover1(20849)

Question 927655: please solve the symmetry and odd even or neither for the following equation:
x^3 - 9x / 4x^2 - 4x - 80
Click here to see answer by jim_thompson5910(35256)

Question 927663: I am stuck on f(x)= -(x-15)2-5
f(x) = 3(x -7.5)2
f(x) =-(x-3)2+2
f(x)=a(x+3)2+12

Click here to see answer by Alan3354(69443)

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, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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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, 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