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Question 1025687: The height of a ball thrown straight up into the air can be modeled by
h(t) = −16t2 + 30t + 3.5
where h(t) is the height of the ball in feet t seconds after it is thrown.
When will the ball be at a height of 15 feet? (Round your answers to two decimal places. Include units with your numerical answers.)
The ball is at a height of 15 feet_______(smaller value) after being thrown and again_______(larger value) after being thrown.
Click here to see answer by Boreal(15235)

Question 1025681: I have collected data has follows for a projectile we threw in class:
Estimated launch height - 1.0m
Estimated max height - 2.6m
Estimated horizontal distance traveled - 6.4m
flight time - 1.33s
With this data, I want to make an equation in vertex form - y=a(x-h)2+k
Where y is the vertical distance traveled and x is the horizontal distance traveled. How would I complete the equation with that information?
Click here to see answer by solver91311(24713)

Question 1025746: A baseball is hit so that its height in feet t seconds after it is hit can be represented by the following equation.
h(t) = −16t2 + 40t + 3
(a) What is the height of the ball when it is hit? (Include units with your numerical answers.)
The ball is at a height of______ when it is hit.
(b) When does the ball reach a height of 15 feet? (Round your answers to two decimal places. Include units with your numerical answers.)
The ball reached a height of 15 feet about______(smaller value) and again______(larger value) after being hit.
(c) When does the ball reach its maximum height? (Round your answers to two decimal places. Include units with your numerical answers.)
The ball reached its maximum height_______after being hit.
(d) What is the ball's maximum height? (Include units with your numerical answers.)
The ball reached a maximum height of_________.

Click here to see answer by Alan3354(69443)

Question 1025519: Draw a graph to show a counterexample to the following statement. Explain.
All quadratic equations have two different solutions.
Click here to see answer by richard1234(7193)

Question 1025899: x^-5x+4=0. The question is how do I start this? I am suppose to graph it. So far I have x^-5x=-4 (^ = squared). Where do I go from here?
Click here to see answer by ikleyn(52756)

Question 1025891: The average fuel consumption of vehicles driving the roads can be modeled by
F(t) = 0.425t2 − 16.442t + 840.325
where F(t) represents the gallons per vehicle per year t years since 1970.
(a) What was the average fuel consumption in 1975? (Round your answer to two decimal places. Include units with your numerical answers.)
According to the model, in 1975 the average fuel consumption per vehicle per year was______.
(b) What was the average fuel consumption in 1985? (Round your answer to two decimal places. Include units with your numerical answers.)
According to the model, in 1985 the average fuel consumption per vehicle per year was_______.
(c) Find the vertex for this model and explain its meaning. (Round your answer to two decimal places. Include units with your numerical answers.)
The vertex is (t, F) (______), which means that in______the average fuel consumption per vehicle per year was_______.
Click here to see answer by stanbon(75887)

Question 1025908: The average fuel consumption of vehicles driving the roads can be modeled by
F(t) = 0.425t2 − 16.442t + 840.325
where F(t) represents the gallons per vehicle per year t years since 1970
(a) What was the average fuel consumption in 1975? (Round your answer to two decimal places. Include units with your numerical answers.)
According to the model, in 1975 the average fuel consumption per vehicle per year was_______
(b) What was the average fuel consumption in 1985? (Round your answer to two decimal places. Include units with your numerical answers.)
According to the model, in 1985 the average fuel consumption per vehicle per year was______
(c) Find the vertex for this model and explain its meaning. (Round your answer to two decimal places. Include units with your numerical answers.)
The vertex is
(t, F) =( ), which means that in________the average fuel consumption per vehicle per year was_______.
Click here to see answer by stanbon(75887)

Question 1025971: Write a quadratic equation with no real solutions. Explain how you know there are no solutions. Thanks!
Click here to see answer by Fombitz(32388)

Question 1025971: Write a quadratic equation with no real solutions. Explain how you know there are no solutions. Thanks!
Click here to see answer by ankor@dixie-net.com(22740)

Question 1025972: Describe three different ways to solve x^2 - 2x - 15 = 0. Which method do you prefer and why? Thanks!
Click here to see answer by Fombitz(32388)

Question 1025972: Describe three different ways to solve x^2 - 2x - 15 = 0. Which method do you prefer and why? Thanks!
Click here to see answer by MathTherapy(10549)

Question 1025840: For what values of x is
{x^2 + x + 3}/{2x^2 + x - 6} >= 0?
Note: Be thorough and explain why all points in your answer are solutions and why all points outside your answer are not solutions.
Click here to see answer by Fombitz(32388)

Question 1026057: While on the golf course last weekend Marc hit into the rough landing the ball behind a
tall tree. His best option was to get it high enough to get over the tree and hopefully
come down in the fairway for his next shot. So with a mighty swing he hit the ball into
the air and was surprised to see the ball hit near the top of a 300 foot tall tower that
he had not noticed.
The formula for this shot is: 2
h x x x ( ) 16 120 where h is the height of the ball and
x is the number of seconds the ball is in the air.
A. How high did Marc actually hit the ball?
Click here to see answer by Alan3354(69443)

Question 1026155: Hitting the ball into the parking lot
As Juan continued his hitting practice showing off his abilities, one of the balls flew
over the center field stands and into the parking lot. �Did you see that shot�, he yelled
at the girls. �The ball hung in the air for at least 10 seconds�, he exclaimed.
The formula for this hit is: h(x) = -16x^2+83x+4 where h is the height of the ball and x is the number of seconds the ball is in the air.
How long did the ball hang actually hang in the air?
Click here to see answer by rothauserc(4718)

Question 1026154: Hitting the baseball over the lights
Meanwhile at the ballpark Juan was practicing his hitting while talking to the girls
standing around watching. He started telling them how he hit the ball over the 50 foot
light tower yesterday. The girls were unsure that he really did that.
The formula for this hit is: H(x)=-16x^2+60x+4 where h is the height of the ball and x is the number of seconds the ball is in the air.
How high did Juan actually hit the ball?
Click here to see answer by rothauserc(4718)

Question 1026167: Using our quadratic equation knowledge match the following scenarios
1. Hitting a golf ball on the moon ____
2. Hitting a golf ball on Earth from the top of a tall building____
3. Hitting a baseball on Jupiter_____
4. Hitting a baseball on Earth by a bionic man____
5. Hitting a baseball on Earth by a 10 foot tall person_____
A. h(x)= -16x^2+500x+4
B. h(x)= -50x^2+50x+4
C. h(x)= -8x^2+100x
D. h(x)=-16x^2+75x+8
E. h(x)= -16x^2+150x+300

Click here to see answer by Edwin McCravy(20054)

Question 1026165: Rewrite the golf equation of h(x)=-16x^2+120x to show Marc hitting the ball
while standing on top of a platform that is 10 feet off the ground.
Click here to see answer by Alan3354(69443)

Question 1026308: One way to factor a trinomial such as x^2 - 8x - 3 is to assign a value such as 10 to and evaluate the expression.
Try the above method to factor x^2 - 8x + 15. Show your work and explain each step did the method give you the correct factors?
Click here to see answer by Edwin McCravy(20054)

Question 1026466: Find the last term (or the C) to make the trinomial into a perfect square:
x^2-4/5x+
When this is factored, it becomes:
Click here to see answer by ikleyn(52756)

Question 1026528: Solve the quadratic equation by taking the square root.
x=
x=
Click here to see answer by EdenWolf(517)

Question 1026530: Solve the quadratic equation (x-1)(x-5)=0
x=
x=
I am stuck, thanks for your help
Click here to see answer by josgarithmetic(39614)

Question 1026530: Solve the quadratic equation (x-1)(x-5)=0
x=
x=
I am stuck, thanks for your help
Click here to see answer by MathTherapy(10549)

Question 1026533: "diane gray and lucy hoag together can prepare a crawfish boil for a large party in 4 hours. lucy alone can complete the job in two hours less time than Diane alone. find the time in which each person can prepare the crawfish boil alone."
Click here to see answer by josgarithmetic(39614)

Question 1026594: The length of a rectangle is 6 inches longer than it is wide. If the area is 216 square inches, what are the dimensions of the rectangle?
The width, or shorter side is
The length, or longer side is
Click here to see answer by ikleyn(52756)

Question 1026595: Each side of a square is increased 4 inches. When this happens, the area is multiplied by 9. How many inches in the side of the original square?
Click here to see answer by ikleyn(52756)

Question 1026597: I need to use the factoring method to answer the following question (( factoring using the diamond/x method))
A rectangular garden has one side 3 feet shorter than twice the other side. Find i
the sides if the area is 209 square feet.
Click here to see answer by stanbon(75887)

Question 1026593: A farmer bought a number of pigs for $252. However, 7 of them died before he could sell the rest at a profit of 9 per pig. His total profit was $126. How many pigs did he originally buy?

Click here to see answer by stanbon(75887)

Question 1026592: Kristina went on a 260 mile trip to a soccer game. On the way back, due to road construction she had to drive 13 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game?
She drove how many mph on her way to the soccer game?
Click here to see answer by stanbon(75887)

Question 1026727: Determine the x-coordinate at which the maximum/ or minimum occurs for the function f(x) = -3x^2 + 30X -30 Also find the coordinates of the vertx.
Click here to see answer by Boreal(15235)

Question 1026733: For f(X) = X^4, the derivative is known to be -4 at X = -1. find the equation of the tangent line to the graph of y = f(X) at the point with x-coordinate -1
Click here to see answer by Boreal(15235)

Question 1026732: Find f'(x), the derivative of f at X, for F(X) = 1/x
Click here to see answer by stanbon(75887)

Question 1026731: Find f'(x), the derivative of f at X, for F(X) = to the square root of X + 2
Click here to see answer by stanbon(75887)

Question 1026730: Find the following derivative of f'(3) when f(X) 4x-5
Click here to see answer by stanbon(75887)

Question 1026764: Consider the following expression.

Write the expression in standard form and state the values of a, b, and c.
Thanks again for all your help!!!
Click here to see answer by stanbon(75887)

Question 1026762: I am stuck, yet again :)
Express the quadratic function p(x)=a(x-h)^2+k in standard form, and identify a, b and c.
Thanks,in advance, for your help
Click here to see answer by stanbon(75887)

Question 1026783: If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4?

Click here to see answer by ikleyn(52756)

Question 1026802: The temperature of a point (x,y) in the plane is given by the expression x^2 + y^2 - 4x + 2y. What is the temperature of the coldest point in the plane?

Click here to see answer by ikleyn(52756)

Question 1026796: Completing the square.
1.)x^2+6x=7
2.) x^2+8x=9
3.) 9x^2+19x=-8 (solve by completing the square an coefficient of x^2 is 1)
I'm looking for the processes of these. The book examples don't help.

Click here to see answer by ikleyn(52756)

Question 1026782: If s is a real number, then what is the smallest possible value of 2s^2 - 8s + 19?
Click here to see answer by KMST(5328)

Question 1026809: 1.) 9x^2+18x=-8 (solve by completing the square an coefficient of x^2 is 1)
I'm looking for the processes of these. The book examples don't help.
Click here to see answer by josgarithmetic(39614)

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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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