Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1154401: The math department bought some calculators for a total of $240 . The department head kept one for the math office and then sold the rest for 300 making a profit of $ 5 on each calculator . How many calculators did the math department buy ?
Click here to see answer by ikleyn(52750)   |
Question 1154401: The math department bought some calculators for a total of $240 . The department head kept one for the math office and then sold the rest for 300 making a profit of $ 5 on each calculator . How many calculators did the math department buy ?
Click here to see answer by greenestamps(13195)  |
Question 1154400: The math department bought some calculators for a lot of 240 . The department head kept one for the math office and then sold the rest for $300 making a profit of $5 on each calculator . How many calculators did the math department buy ?
Click here to see answer by ikleyn(52750) |
Question 1154647: A person standing close to the edge on top of a 96-foot building throws a ball vertically upward. The quadratic function h(t)=−16t^2+80t+96
models the ball's height about the ground, h(t), in feet, t seconds after it was thrown.
What is the maximum height of the ball?
How many seconds does it take until the ball hits the ground?
Click here to see answer by MathLover1(20849)  |
Question 1154647: A person standing close to the edge on top of a 96-foot building throws a ball vertically upward. The quadratic function h(t)=−16t^2+80t+96
models the ball's height about the ground, h(t), in feet, t seconds after it was thrown.
What is the maximum height of the ball?
How many seconds does it take until the ball hits the ground?
Click here to see answer by MathTherapy(10549)  |
Question 1154815: A model rocket is launched with an initial velocity of 170 ft/s. The height, h, of the rocket t seconds after launch is given by
h = −16t2 + 170t
. How many seconds after the launch will the rocket be 314 ft above the ground? Round to the nearest hundredth.
Click here to see answer by ikleyn(52750) |
Question 1154812: a. Find a polynomial of minimum degree such that when divided by x+2 has a remainder of -1 and when divided by x-1 has a remainder of 3.
b. Find a polynomial of degree 3 such that when divided by x^2-5x has a remainder of 6x-15 and when divided by x^2-5x+8 has a remainder of 2x-7.
Click here to see answer by ikleyn(52750) |
Question 1154816: A wire 7 ft long (y in the figure below) is cut into two pieces. A circle is formed from one piece and a square is formed from the other. The total area of both figures is given by the formula below. What is the length of each piece of wire if the total area is
3.7 ft2
? Round to the nearest thousandth.
Click here to see answer by mananth(16946)  |
Question 1154978: Robert threw a rock off a bridge into the river. The distance from the rock to the river is molded by the equation h=-16t^2-16t+60, where h is the height in ft. and t is the time in seconds. find out how long it took the rock to hit the surface. solve the equation by factoring.
Click here to see answer by MathLover1(20849) |
Question 1155002: When taking a 19 question multiple choice test, where each question has five possible answers, it would be unusual to get or more questions correct by guessing alone. Use the Range Rule of Thumb for Unusual Values to answer this question. Give your answer above as a whole number.
Click here to see answer by ikleyn(52750) |
Question 1155173: A rocket is launched from atop a 73-foot cliff with an initial velocity of 142 ft/s. The height of the rocket above the ground at time t is given by h=-16t^2+142t+73.
A) When will the rocket hit the ground after it is launched? Round to the nearest tenth of a second.(Solve Algebraically, Hint: Use the Quadratic Formula to solve and the round the square root answer one decimal place)
B) When will the rocket reach 199ft from the ground? (Solve Algebraically)
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1155163: Solve step by step.
18. A tennis ball is launched straight upward with an initial velocity of 24.5 m/s from the edge of a cliff that is 117.6 meters above the ground. Which quadratic equation could be used to correctly determine when the ball will hit the ground:
4.9t^2 + 24.5t + 117.6 = 0
-4.9t^2 - 24.5t + 117.6 = 0
-4.9t^2 + 24.5t - 117.6 = 0
4.9t^2 + 24.5t - 117.6 = 0
-4.9t^2 + 24.5t + 117.6 = 0
19. Solve the equation you chose in question 18 to determine when the ball will hit the ground. (HINT: If you don't get one of the answers listed for this question, then maybe you chose the wrong equation in #18. Use this opportunity to double check your work!)
t = 8 seconds
t = 4 seconds
t = 3 seconds
t = -3 seconds
The ball will never reach the ground.
20. Using the same equation, determine when the ball is at a height of 49 meters.
Click here to see answer by ewatrrr(24785)  |
Question 1155358: A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need a fence along the river (see the figure). What are the dimensions of the field of largest area that he can fence?
(a) Experiment with the problem by drawing several diagrams illustrating the situation. Calculate the area of each configuration, and use your results to estimate the dimensions of the largest possible field. (Enter your answers as a comma-separated list.)
(b) Find a function that models the area of the field in terms of one of its sides.
(c) Use your model to solve the problem, and compare with your answer to part (a). Maximum area occurs at the following values.
which is looking for
smaller dimension:
larger dimension:
Click here to see answer by josgarithmetic(39613) |
Question 1155358: A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need a fence along the river (see the figure). What are the dimensions of the field of largest area that he can fence?
(a) Experiment with the problem by drawing several diagrams illustrating the situation. Calculate the area of each configuration, and use your results to estimate the dimensions of the largest possible field. (Enter your answers as a comma-separated list.)
(b) Find a function that models the area of the field in terms of one of its sides.
(c) Use your model to solve the problem, and compare with your answer to part (a). Maximum area occurs at the following values.
which is looking for
smaller dimension:
larger dimension:
Click here to see answer by ikleyn(52750) |
Question 1155359: At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 600 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by
A(n) = (600 + n)(10 − 0.01n)
where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.
Click here to see answer by ikleyn(52750) |
Question 1155369: I believe I have the right answers just need help showing it step by step.
12. Work backwards to write a quadratic equation that will have solutions of x = -1/2 and x = 4. (Your equation must only have integer coefficients, meaning no fractions or decimals.)
13. Write a quadratic equation that will have a solution of only x = 0. Note: this means there will be a double solution of x = 0.
y = x^2
14. Write a quadratic equation that cannot be factored.
y = x^2 + 1
15. The product of two consecutive positive integers is 72. Find the integers.
Two consecutive positive integers are 8 and 9 both have a product of 72.
Click here to see answer by dkppathak(439)  |
Question 1155369: I believe I have the right answers just need help showing it step by step.
12. Work backwards to write a quadratic equation that will have solutions of x = -1/2 and x = 4. (Your equation must only have integer coefficients, meaning no fractions or decimals.)
13. Write a quadratic equation that will have a solution of only x = 0. Note: this means there will be a double solution of x = 0.
y = x^2
14. Write a quadratic equation that cannot be factored.
y = x^2 + 1
15. The product of two consecutive positive integers is 72. Find the integers.
Two consecutive positive integers are 8 and 9 both have a product of 72.
Click here to see answer by Edwin McCravy(20054)  |
Question 1155399: Please help me fix these
My teachers response:
4. You had it in your 3rd step. I'm not sure why you included the last step. What would each of those x's from your 3rd step be worth if you solved for each of them.
15. 8 is one of them, what is the second number?
18. Not quite. Please explain what each number represents and how you will know if it is + or -.
19, 20. Recalculate
Solve the quadratic equations in questions 1 - 5 by factoring.
4. - x^3 + 22x^2 - 121x = 0
-x (x^2 - 22x + 121) = 0
-x (x - 11^2) = 0
-x (x - 11)* ( x + 11) =0
Solutions: x= 11, x= -11
15. The product of two consecutive positive integers is 72. Find the integers.
n(n + 1)= 72
n^2 + n = 72
n^2 + n - 72 = 0
n= -b±√b^2 - 4ac ÷ 2a
n= -(1)±√(1)^2 - 4 (1)(-72)÷ 2*1
n= -1±√1 + 288÷2
n= -1±√289÷2
n= -1±17 ÷ 2
n= -1 + 17 ÷ 2 N= -1 - 17÷ 2
n= 16÷2 N= -18÷ 2
n= 8 N= -9
Answer = 8
18. A tennis ball is launched straight upward with an initial velocity of 24.5 m/s from the edge of a cliff that is 117.6 meters above the ground. Which quadratic equation could be used to correctly determine when the ball will hit the ground:
4.9t^2 + 24.5t + 117.6 = 0
-4.9t^2 - 24.5t + 117.6 = 0
-4.9t^2 + 24.5t - 117.6 = 0
4.9t^2 + 24.5t - 117.6 = 0
-4.9t^2 + 24.5t + 117.6 = 0
Answer: 4.9t^2 + 24.5t - 117.6 = 0
19. Solve the equation you chose in question 18 to determine when the ball will hit the ground. (HINT: If you don't get one of the answers listed for this question, then maybe you chose the wrong equation in #18. Use this opportunity to double check your work!)
t = 8 seconds
t = 4 seconds
t = 3 seconds
t = -3 seconds
The ball will never reach the ground.
4.9 x 9 + 24.5 x 3 - 117.6 = 0
Answer is: 3
20. Using the same equation, determine when the ball is at a height of 49 meters.
4.9t² + 24.5t - 49 = 0
Solve for t
t = (-24.5 ±√[ 24.5² - 4 x 4.9 x - 49])/9.8
t =1.53 seconds
04/06/2020 14:21
Samantha,
4. You had it in your 3rd step. I'm not sure why you included the last step. What would each of those x's from your 3rd step be worth if you solved for each of them.
15. 8 is one of them, what is the second number?
18. Not quite. Please explain what each number represents and how you will know if it is + or -.
19, 20. Recalculate
Click here to see answer by josgarithmetic(39613) |
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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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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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