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Question 1103098: From the top of a building, a student throws a ball upward. This function gives the height, h, of the ball in feet after t seconds.
h( t )=−16t2+32t+80
What is the average rate of change, in feet per second, of the height of the ball from t=0.5 seconds to t=3 seconds?
Click here to see answer by ikleyn(52748)

Question 1103213: The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $2000, which was to be divided equally among the members going. Prior to the trip, 5 members decided not to go. If the cost per person increased by $20, how many people went on the expedition?

Click here to see answer by stanbon(75887)

Question 1103210: A farmer bought a number of pigs for $290. However, 7 of them died before he could sell the rest at a profit of 10 per pig. His total profit was $150. How many pigs did he originally buy?
Click here to see answer by josmiceli(19441)

Question 1103431: c(x)=4x2-800x+50,500
Click here to see answer by Alan3354(69443)

Question 1103578: A rectangular field originally has dimensions 65m by 35m. Its area is reduced by removing a strip of equal width from the east and the north sides. The area of the new field is 1000 square meters. Write a quadratic equation to model this situation. Use �x� for the width of the strips removed. Solve the equation to find the dimensions of the new field.

Click here to see answer by ikleyn(52748)

Question 1103668: Hey there!
I have a few question, and it said not to dump everything on here. Sadly my book doesn't explain problems like these so I don't know why they give us it. Anyways it's:
Sandy's closet was supposed to be 10 feet by 12 feet. The architect decided that this would not work and reduced the dimensions by the same amount of x on each side. The area of this new closet is 63 feet.
1. Write a quadratic equation that represents the area of Sandy's closet now.
2. Find the new dimensions of her closet.
Not even sure where to start with this..
For the first one came up with something like x2-12x-10x+120=0 but that doesn't seem right
Thanks!
Click here to see answer by richwmiller(17219)

Question 1103716: The owner of a video store has determined that the profits P of the store are approximately given by P(x)=-x^+80x+63, where x is number of videos rented daily. Find the maximum profit to the nearest dollar.
Click here to see answer by Fombitz(32388)

Question 1103743: Hi, please could you help me with this question:
The product of a certain positive whole number and three more than that number is 270. What could the number be?
Click here to see answer by ikleyn(52748)

Question 1103715: A piece of wire 64 cm long is cut into two pieces with different lengths. The two pieces are formed to TWO squares.
(a) Show that the combined area of the two squares A is given by A=2x^2-30x+256
(b) What is the minimum combined area of the two squares?
Click here to see answer by math_helper(2461)

Question 1103806: according to the national association of rocketry the current model rocket altitude record in the f altitude events for ages 14 through 18 division is 1430 meters. from this record-setting altitude, the rocket is motionless as it begins his free fall the sat back to the ground using the equations, h (t)=-4.9t^2+v^0t+h^0find how long it will take here for the rocket to hit the ground after reaching its high point. (Hint: motionless implies and hitting the ground implies)
Click here to see answer by ikleyn(52748)

Question 1103948: Does (1, -7) make the equation y = 5x − 7 true?

Click here to see answer by richwmiller(17219)

Question 1103948: Does (1, -7) make the equation y = 5x − 7 true?

Click here to see answer by math_helper(2461)

Question 1103987: Supporting algebraic work must accompany your
answer.
Solve the rational inequality:
10𝑥+3
(𝑥−4)
2 ≤ 0
Click here to see answer by richwmiller(17219)

Question 1103986: Give an example of a rational function that fulfills
the description.
a. A rational function that has a vertical asymptote
at -5 and a hole at 7.
b. A rational function that has no vertical asymptote
and does have a slant asymptote.

Click here to see answer by josgarithmetic(39613)

Question 1103985: A ball is thrown vertically upward from the top of a
building 96 feet tall with an initial velocity of 80 feet
per second. The distance, s (in feet), of the ball from
the ground after t seconds is given by the function:
𝑠(𝑡) = 96 + 80𝑡 − 16𝑡^2
a.) How long does it take for the ball to reach its
highest point?
b.) What is the maximum height the ball reaches?

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

Question 1104022: An oil painting is 10 inches longer than it is wide and is bordered on all sides by a 3 inch wide frame. If the area of the frame alone is 402 inches squared, what are the dimensions of the painting?
Click here to see answer by josmiceli(19441)

Question 1104098: i need help using the discriminant to find the number of unique real solutions of 3x^2+3x=21
Thanks.
Click here to see answer by josgarithmetic(39613)

Question 1104297: A rectangle has a length of 15 inches less than 5 times its width. If the area of the rectangle is 540 square inches, find the length of the rectangle
Click here to see answer by Alan3354(69443)

Question 1104530: The area of a rectangle is 28 square meters. If the length is 2 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth
Length=
Width=
Click here to see answer by josgarithmetic(39613)

Question 1104552: Supporting algebraic work must accompany your
answers.
A ball is thrown vertically upward from the top of a
building 96 feet tall with an initial velocity of 80 feet
per second. The distance, s (in feet), of the ball from
the ground after t seconds is given by the function:
s(t)=96+80t-16t^2
a. How long does it take for the ball to reach its
highest point?
b. What is the maximum height the ball reaches?
Click here to see answer by Alan3354(69443)

Question 1104499: find three consecutive positive odd integers such that the product of the two smaller exceeds the largest by 26
Click here to see answer by Alan3354(69443)

Question 1104656: if (x+y)^2=40 and (x-y)^2=25, evaluate 2x^2-40xy+2y^2
Click here to see answer by Alan3354(69443)

Question 1104760: Factor completely.

Click here to see answer by ikleyn(52748)

Question 1104806: Give an example of a rational function that fulfills the description.
a. A rational function that has a vertical asymptote at -5 and a hole at 7.

Click here to see answer by Theo(13342)

Question 1104847: A window is in the shape of a rectangle surmounted by a semicircle. The height of the rectangle is 0.4m more than the width. The total area of the window is 10.4m2 find the width and height of the window.
Click here to see answer by josmiceli(19441)

Question 1104988: in a quadratic equation, a student made a mistake in copying the coefficient of x^(2) and got the roots of 2 and 3. Another student made a mistake copying the constant term and got the roots of 4 and 6. What are the correct roots?

Click here to see answer by ikleyn(52748)

Question 1105028: The area of a rectangle is 28 square meters. If the length is 2 times the width, then find the length and width of the rectangle. Round off your answers to the nearest hundredth
Click here to see answer by stanbon(75887)

Question 1105089: if a cyclist had gone 3km per hour faster, he would have have taken 1 hour and 20 minutes less to ride 80kms. What time did he take

Click here to see answer by josgarithmetic(39613)

Question 1105103: Pythagorean Theorem:
side A^2+Side B^2=hypotenuse C^2
(x-2)^2+(x-4)^2=x^2
work:
2x^2-36=x^2
2x^2=x^2+36
x^2=36
Square root both sides
x=6
Incorrect though. Not sure what I did wrong.
Click here to see answer by rothauserc(4718)

Question 1105122: Find the quadratic function y=a(x-h)^2 whose graph passes through the given points
(8,-4), (4,0)
Click here to see answer by KMST(5328)

Question 1105127: A car is going at 20.0 m/s. At the same time that it reaches the beginning of a kilometre-long track, it starts accelerating at 5.00m/s�. How long does it take the car to go around the track once?
Click here to see answer by Alan3354(69443)

Question 1105126: In a certain number of hours a woman traveled 5 km. If she had traveled 2 km more per hour, it would have taken her 3 h less to make the journey. How many kilometers did she travel per hour? (Keep three significant digits.)
Click here to see answer by josmiceli(19441)

Question 1105171: please solve
a graduated cylinder, pictured, is used to measure solutions in a laboratory. It is open at the top and closed at the bottom.
If a graduated cylinder has a height (h) that is 4 cm more than its radius (r) and a surface area of 16p cm2, use the equations below to calculate the diameter of the graduated cylinder. Give exact answer in fraction form.
Area of the side of a cylinder = 2 pi r h. Area of the top or bottom of a cylinder = pi r squared
Click here to see answer by Theo(13342)

Question 1105128: A graduated cylinder, pictured, is used to measure solutions in a laboratory. It is open at the top and closed at the bottom.

On the picture 80ml cylinder

If a graduated cylinder has a height (h) that is 4 cm more than its radius (r) and a surface area of 16p cm2, use the equations below to calculate the diameter of the graduated cylinder. Give exact answer in fraction form.
Area of the side of a cylinder = 2πrh

Click here to see answer by Alan3354(69443)

Question 1105285: A farmer bought a number of pigs for $203. However, 6 of them died before he could sell the rest at a profit of 4 per pig. His total profit was $50. How many pigs did he originally buy?

Click here to see answer by ikleyn(52748)

Question 1105310: A ball is thrown from an initial height of 6 feet
with an initial upward velocity of 36 ft/s.
(a) After how many seconds did it hit the ground?
(b) After how many seconds did it reach its maximum
height?
(c) What was its maximum height?
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, 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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