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Question 1021026: I need help with this problem. Please help me and show all work. Thanks

A person standing close to the edge on top of a 144-foot building throws a ball vertically upward. The quadratic function h(t)=−16t^2+128t+144
h(t)=-16t^2+128t+144 models the ball's height about the ground, h(t)
in feet, t seconds after it was thrown.
a) What is the maximum height of the ball?
_________feet
b) How many seconds does it take until the ball hits the ground?
_________ seconds
Click here to see answer by MathTherapy(10552)

Question 1020970: Babe Ruth, a baseball player hits a "major league pop-up" so that the height of the ball, in metres is modelled by the function h(t) = 1+30t-5t^2, where t is the time in seconds. Evaluate the function for each of the given times in a table of values. Times: 0.0, 0.5,1.0,1.5,2.0,2.5,3.0,3.5
Click here to see answer by Fombitz(32388)

Question 1021185: Please help and show all work.

A rancher has 280 feet of fence with which to enclose three sides of a rectangular field (the fourth side is a cliff wall and will not require fencing). Find the dimensions of the field with the largest possible area. (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side).)
length = feet
width = feet
What is the largest area possible for this field?
area = feet-squared
Enter your answers as numbers. If necessary, round to the nearest hundredths.
Click here to see answer by rothauserc(4718)

Question 1021181: Please help me. Show all work.

The height y (in feet) of a ball thrown by a child is
y=−1/16x^2+2x+5
where x is the horizontal distance in feet from the point at which the ball is thrown.
(a) How high is the ball when it leaves the child's hand? feet
(b) What is the maximum height of the ball? feet
(c) How far from the child does the ball strike the ground? feet

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

Question 1021137: The equation of the circle,orthogonal to both the circles x�+y�+3x-5y+6=0and 4x�+4y�-28x+29=0 and whose centre lie on the line 3x+4y+1=0
Click here to see answer by Alan3354(69443)

Question 1021422: show how to solve 3x^2 + 10x = 8 by factoring
Click here to see answer by Alan3354(69443)

Question 1021422: show how to solve 3x^2 + 10x = 8 by factoring
Click here to see answer by stanbon(75887)

Question 1021439: Please solve this equation with quadratic formula or other method (if possible)
〖-8y〗^2+2y+7=0
Workings very much appreciated,
Sally
Click here to see answer by MathLover1(20849)

Question 1021424: Aleah's garden borders a wall. She buys 80 meters of fencing. What dimensions maximize the area of the garden.
Click here to see answer by Fombitz(32388)

Question 1021476: Suppose you have 80 feet of fence to enclose a rectangular garden. the Function A=40x-x^2 gives you the area of the garden in the square feet where x is the width in feet.
A. What is the maximum area?
B. What width will yield the maximum area?
Click here to see answer by Fombitz(32388)

Question 1021606: X^2-2x-3=-3
THANK YOU
Click here to see answer by stanbon(75887)

Question 1021512: Please solve and explain 2x^2-6>11
Click here to see answer by Fombitz(32388)

Question 1021644: A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height and the longer base to be 7 yards greater than the height. She wants the area to be 245 square yards. The situation is modeled by the equation . Use the Quadratic Formula to find the height that will give the desired area. Round to the nearest hundredth of a yard.
Click here to see answer by josgarithmetic(39617)

Question 1021841: Can you help me use the quadratic equation for these problems
6x=2-5x^2
X^2+6x=-8
X=6x^2-3

Click here to see answer by Cromlix(4381)

Question 1021814: x^4+2x^3=10x^2
Find the real or imaginary solutions of each equation by factoring.

Click here to see answer by Fombitz(32388)

Question 1021761: g(x)= (x+5)^2-1
Click here to see answer by Fombitz(32388)

Question 1021870: 2. Use completing the square to rewrite the following equation in transformational form:
y = x2 + 8x - 12

A. y = (x-4)2 - 28
B. y = (x+4)2 - 28
C. y = (x+4)2 + 4
D. y = (x-4)2 + 4

Click here to see answer by MathLover1(20849)

Question 1021905: Please show me how solve this quadratic equation by hand, plotting coordinates not needed, thanks so much.
-8y^2+2y+7=0
Click here to see answer by Alan3354(69443)

Question 1021905: Please show me how solve this quadratic equation by hand, plotting coordinates not needed, thanks so much.
-8y^2+2y+7=0
Click here to see answer by Fombitz(32388)

Question 1021923: (8-2x)*(11-2x)=50
Click here to see answer by Alan3354(69443)

Question 1021957: x^2-6x + ____ = 3 + ____
(x-3)^2 = ____
Click here to see answer by stanbon(75887)

Question 1021939: An archway over a road is cut out of rock. Its shape is modeled by the quadratic function for y≥0.
A) Write an inequality that describes the opening of the archway.
B) Critical Thinking- Can a camper 6 ft wide and 7ft high fit under the arch without crossing the median line? Explain.
Click here to see answer by josgarithmetic(39617)

Question 1022059: 2/x-2-3/x+2=1/2
Click here to see answer by Alan3354(69443)

Question 1022059: 2/x-2-3/x+2=1/2
Click here to see answer by Fombitz(32388)

Question 1022060: 1/x+1/x-1=3/2
Click here to see answer by Alan3354(69443)

Question 1022106: I need help with quadratic equation and I really don't understand it.
Click here to see answer by fractalier(6550)

Question 1022106: I need help with quadratic equation and I really don't understand it.
Click here to see answer by ikleyn(52780)

Question 1022104: I need help on the whole quadratic equation. I would greaatly appeciate it if someone will explain it to me. Thanks.
Click here to see answer by fractalier(6550)

Question 1022104: I need help on the whole quadratic equation. I would greaatly appeciate it if someone will explain it to me. Thanks.
Click here to see answer by ikleyn(52780)

Question 1022113: Hi! I have two questions. Well...kind of 1.5. Both involve finding vertex, x intercepts, and standard form. The first problem is
1/4x^2-2x-12
To find the vertex I did -(-2)/2*(1/4( -> 2/1/2 -> 4. Then I plugged in 2 where x is -> 1/4(2)-2(2)-12 and got -16. This would then make the vertex (4,-16). I'm wondering how I would get all of this into standard form, which would then allow me to find the x intercepts. I guess the fractions are just what throw me off.
The second question is 3/5(x^2+8x-5). I got to 3/5(x+4)^2-21, but from there I'm stuck.
I appreciate any help!
Click here to see answer by solver91311(24713)

Question 1022151: If the difference of two brothers is 4 years and the product of their ages is 221. Find the ages of the two brothers.
Click here to see answer by josgarithmetic(39617)

Question 1022151: If the difference of two brothers is 4 years and the product of their ages is 221. Find the ages of the two brothers.
Click here to see answer by addingup(3677)

Question 1022238: Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20). Show your work.

Click here to see answer by MathLover1(20849)

Question 1022520: What is the slope of the line given by the equation y + 2 = −3(x − 7)?

Click here to see answer by Alan3354(69443)

Question 1022543: (4x25)^1/2
Click here to see answer by fractalier(6550)

Question 1022587: For what real values of a does the quadratic 4x^2 + ax + 25 have nonreal roots? Give your answer as an interval.
Click here to see answer by FrankM(1040)

Question 1022602: The roots of the equation are 6 and -2.Find the values of b and c
Click here to see answer by josgarithmetic(39617)

Question 1022602: The roots of the equation are 6 and -2.Find the values of b and c
Click here to see answer by rothauserc(4718)

Question 1022586: The roots of the quadratic equation z^2 + az + b = 0 are 2 - 3i and 2 + 3i. What is a+b? (i=√-1)
Click here to see answer by josgarithmetic(39617)

Question 1022596: Let K be a real number, and consider the quadratic equation (k+1)x^2+4kx+2=0
a. Show that the discriminant of (k+1)x^2+4kx+2=0 defines a quadratic formula of k.
b. Find the zeros of the function in part (a), and make a sketch of its graph (NOTE: this is optional, I can do this by myself.)
c. For what value of k are there two distinct real solutions to the original quadratic equation?
d. For what value of k are there two complex solutions to the given quadratic equation?
e. For what value of k is there only one solution to the given quadratic equation?
Click here to see answer by robertb(5830)

Question 1022588: The two positive integer solutions of the equation x^2 - mx + n = 0 are k and t, where m and n are both prime numbers and k > t. What is the value of m^n + n^m + k^t + t^k?
Click here to see answer by robertb(5830)

Question 1022832: Suppose a and x satisfy x^2 + x(a-(1/a)) - 1 = 0. Solve for x in terms of a.
Click here to see answer by josgarithmetic(39617)

Question 1022765: (u+w)�-v��(v+w)�-u�
Click here to see answer by robertb(5830)

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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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, 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