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Question 191331: I do not know how to find the x-intercept and the vertex of a quadratic equation. For example I have this problem: y=X^2+8x+8 and I do not know how to find the x-intercept and the vertex. This is a worksheet that my teacher hand wrote.
Click here to see answer by scott8148(6628)

Question 191351: How do you find the x-intercept of a quadratic equation.
Click here to see answer by kara!(17)

Question 191563: y to the 2nd power -18y+81=64

Click here to see answer by dancinsavy546(1)

Question 191570: f(x)=3x^2-7x-11 I was able to get the solutions but now i need to find the x intercepts. I am having problems find the solutions. this is from a teacher handout
Click here to see answer by jim_thompson5910(28476)

Question 191497: Solve for X Show algebraic steps.
4/x+3 - 2/x-3 = 2
Click here to see answer by bsmath(21)

Question 191655: Solve by completing the square. First divide to make sure that the coefficient of x^2 is 1
9x^2+18x=-8
I completed the square but dividing to make sure that the coefficient is 1 I am not understanding. Here is what I did...
9x^2+18x+8=0
(3x+4)(3x+2)
3x+4=0 3x+2=0
3x=-4 3x=-2
x=-4/3 x=-2/3
Click here to see answer by nerdybill(6948)

Question 191715: solve quadratic equation
x^2=6x-3
Click here to see answer by nerdybill(6948)

Question 191816: 9*(x+2/x+3)^2-6*(x+2/x+3)+1=0
Click here to see answer by Earlsdon(6287)

Question 191815: What is the maximum product of two numbers that add to -12? What numbers yield this product?
I came up with 36; -6 and -6 but I am not sure if that is correct
Click here to see answer by Alan3354(30924)

Question 191814: An architect is designing an atrium for a hotel. The atrium is to be rectangular with a perimeter of 720ft of brass piping. What dimensions will maximize the area of the atrium?
Click here to see answer by Earlsdon(6287)

Question 191813: The value of a share of I.J. Solar can be represtented by V(x)=x^2-6x+13, where x is the number of months after January 2004. What is the lowest value V(x) will reach and when did that occur?
Click here to see answer by Earlsdon(6287)

Question 191817: (a) Find a quadratic function that fits the following data. (b) Use the function to estimate the number of daytime accidents that occur at 50km/h
Travel Speed #of daytime accidents
(in km/hr) (for every 200 million km driven)
60 100
80 130
100 200
Click here to see answer by RAY100(1637)

Question 191862: 2x^2-x=-9
Click here to see answer by orca(409)

Question 191893: A cyclist traveled at arate of 32mph to visit a nearby town. The cyclist averaged 10 mph on hte return trip. If the round trip took 6.3 hours, find the distance to the nearby town.
Click here to see answer by tvandenberg(45)

Question 191892: A cyclist traveled at arate of 32mph to visit a nearby town. The cyclist averaged 10 mph on hte return trip. If the round trip took 6.3 hours, find the distance to the nearby town.
Click here to see answer by tvandenberg(45)

Question 191926: Solve:
s-4√s-1=0
Click here to see answer by solver91311(16868)

Question 192030: This one is driving up the wallll. 2/y=3/y-1/2
Click here to see answer by scott8148(6628)

Question 192007: A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank?
Click here to see answer by Mathtut(3670)

Question 192032: I have never tried one like this can someone help me. the equation is 15x^4-13x^2+2=0
Click here to see answer by Earlsdon(6287)

Question 192033: The text asks us to solve the following statements using either the "object dropped" or "object thrown" formulas.
Given formulas:
Object dropped
Object thrown
h=height (ft)
s=initial height (ft)
t=time in motion
v=initial velocity (feet/second)
The statement:
An acorn falls 45 feet from the top of the tree.
This is what I have tried:
The acorn falls so I used the "object dropped formula". The height (feet) that the acorn fell was 45 feet and the initial height of the acorn was 45 feet. This is how I wrote that out:

Then I attempted to solve for 't'.
I subtracted 45 from both sides ending up with:

I noticed right away that in order to make this true 't' had to be 0. But if t=0 then that means it took the acorn 0 seconds to fall down from the top of the tree. Impossible right???
What am I doing wrong? Please help.

Click here to see answer by stanbon(57203)

Question 192049: Use the following functions and answer the questions? f(x)=4x^2-9x+2
a. Does the parabola open up or down?
b. What is the vertex?
c. What is the axis of symmetry? x=
d. What are the x-intercept (include the factors that you used to find them)
e. What are the y-intercept (include the factors that you used to find them)
Click here to see answer by stanbon(57203)

Question 192069: 1.How many mililiters of a 20% acid solution should Annie mix with a 60% acid solution to make 100 mililiters of a 50% acid solution?

Smeagol kicked a ball. The function h(t)= -16t2 +80t describes the height of the ball, in feet, t seconds
after he kicked it. How many seconds did the ball take to first reach 64 feet?
Click here to see answer by Mathtut(3670)

Question 192104: find the solution of x^2-21=4x. if the solution is a fraction, enter it in simplest form?
Click here to see answer by checkley75(3666)

Question 192104: find the solution of x^2-21=4x. if the solution is a fraction, enter it in simplest form?
Click here to see answer by RAY100(1637)

Question 192102: what is the coefficent A,B,C, in the quadratic equation
2x^2-5x=1?
Click here to see answer by RAY100(1637)

Question 192092: Consider the Quadratic function f(x)= 9 x^2 - 1
Its vertex is ( , )
Its x-intercepts are x =
Its y-intercept is y =
Click here to see answer by checkley75(3666)

Question 192101: A gareen is currently 4 m wide and 7 m long. If the area of the garden is to be doubled by increasing the width and length by the same number of meters, find the new dimensions of the garden.
Click here to see answer by RAY100(1637)

Question 192110: The vertex form of a quadraion is 3(x-7)^2-4. Find the usual y=ax^2+bx+c form of the quadratic.

Click here to see answer by checkley75(3666)

Question 192112: Use the Completing the Square method to find the vertex form of the quadratic function y=2x^2+8x+18
Click here to see answer by jim_thompson5910(28476)

Question 192008: Junior’s boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9miles upstream then what is the speed of the current
Click here to see answer by ankor@dixie-net.com(15622)

Question 192114: Give the usual ax^2+bx+c form of the quadratic function which has a= 1, and has two zeros z= -5 and z= 3
Click here to see answer by edjones(7569)

Question 192114: Give the usual ax^2+bx+c form of the quadratic function which has a= 1, and has two zeros z= -5 and z= 3
Click here to see answer by Mathtut(3670)

Question 192114: Give the usual ax^2+bx+c form of the quadratic function which has a= 1, and has two zeros z= -5 and z= 3
Click here to see answer by solver91311(16868)

Question 192217: The number of new cars purchased in a city can be modeled by the equation C =18t^2 + 174t + 6241, where C is the number of new cars and t = 0 corresponds to the number of new cars purchased in 1972. In what year will the number of new cars reach 35,000? I have tried using the quadratic equation, but I get a strange answer.

Click here to see answer by solver91311(16868)

Question 192232: Solve x^2 + 8x + 10 = 0
Click here to see answer by solver91311(16868)

Question 192242: 12x^2 - 6x = 0
Click here to see answer by Mathtut(3670)

Question 192229: Please help.
Write without exponents.
4^3/2
Click here to see answer by Mathtut(3670)

Question 192279: b^4 + 13b^2 + 36 = 0 find all real and imaginary solutions to the equation
Click here to see answer by Alan3354(30924)

Question 192279: b^4 + 13b^2 + 36 = 0 find all real and imaginary solutions to the equation
Click here to see answer by Earlsdon(6287)

Question 192312: -3x² +7x = 0 Solve
Click here to see answer by shamivk(1)

Question 192312: -3x² +7x = 0 Solve
Click here to see answer by orca(409)

Question 192324: Factor 9b^3 - 6b^2
Click here to see answer by checkley75(3666)

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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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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