Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1171153: Dr. Terrel H has created a pacemaker that has a rectangular control panel. This rectangle has a width of (square root of x + 5) millimeters and a length of (square root of x + 9) millimeters. Find the area in square millimeters of the rectangle
Click here to see answer by MathLover1(20849)   |
Question 1171153: Dr. Terrel H has created a pacemaker that has a rectangular control panel. This rectangle has a width of (square root of x + 5) millimeters and a length of (square root of x + 9) millimeters. Find the area in square millimeters of the rectangle
Click here to see answer by ikleyn(52754)  |
Question 1171153: Dr. Terrel H has created a pacemaker that has a rectangular control panel. This rectangle has a width of (square root of x + 5) millimeters and a length of (square root of x + 9) millimeters. Find the area in square millimeters of the rectangle
Click here to see answer by greenestamps(13195)  |
Question 1171140: While playing basketball, you are attempting to make a 3-point shot. The height in meters of the ball thrown at an angle of 45 degrees is given by the quadratic function h=-16t²+20t+6, where t is the time in seconds after throwing. The ball's horizontal distance in meters from you is modeled by x=6t. Assuming the ball went inside the ring, what is the horizontal distance from you to the ring?
Click here to see answer by ikleyn(52754) |
Question 1171140: While playing basketball, you are attempting to make a 3-point shot. The height in meters of the ball thrown at an angle of 45 degrees is given by the quadratic function h=-16t²+20t+6, where t is the time in seconds after throwing. The ball's horizontal distance in meters from you is modeled by x=6t. Assuming the ball went inside the ring, what is the horizontal distance from you to the ring?
Click here to see answer by Clanther(6) |
Question 1171156: a company has a total of 210 employees in the marketing and sales offices. for every three people employed in marketing, there are eleven people employed in sales. how many people in the office work in marketing? how many people in the office work in sales
Click here to see answer by ikleyn(52754) |
Question 1171164: While playing basketball, you are attempting to make a 3-point shot. The height in meters of the ball thrown at an angle of 45 degrees is given by the quadratic function h=-16t²+20t+6, where t is the time in seconds after throwing. The ball's horizontal distance in meters from you is modeled by x=6t. Assuming the ball went inside the ring, what is the horizontal distance from you to the ring?
Regarding this problem, I don't know if my solution is correct. I've came out with the answer given in the module which is 9 meters.
Here is my solution:
By analyzing the problem, the height of the ball as I hold it horizontally is given as h=-16t²+20t+6 and the height of the ball from me as I raised it ready to make a 3-point shot horizontally assuming that it will go inside the ring is x=6t.
So the distance of the ball from the ground -16t²+20t+6 is subtracted from the distance of the ball as I raised it x=6t.
Let x be the horizontal distance from me to the ring.
f(x)=-16t²+20t+6-6t
=-16t²+14t+6
Solve for h in vertex formula h=-d/2a
a=-16, b=14, c=6
h= -14/2(-16) = 7/16
Substitute h to t:
x= -16t²+14t+6
= -16(7/16)² + 14(7/16) + 6
= 145/16
x= 9meters
Click here to see answer by ikleyn(52754) |
Question 1171163: While playing basketball, you are attempting to make a 3-point shot. The height in meters of the ball thrown at an angle of 45 degrees is given by the quadratic function h=-16t²+20t+6, where t is the time in seconds after throwing. The ball's horizontal distance in meters from you is modeled by x=6t. Assuming the ball went inside the ring, what is the horizontal distance from you to the ring?
Regarding this problem, I don't know if my solution is correct. I've came out with the answer given in the module which is 9 meters.
Here is my solution:
By analyzing the problem, the height of the ball as I hold it horizontally is given as h=-16t²+20t+6 and the height of the ball from me as I raised it ready to make a 3-point shot horizontally assuming that it will go inside the ring is x=6t.
So the distance of the ball from the ground -16t²+20t+6 is subtracted from the distance of the ball as I raised it x=6t.
Let x be the horizontal distance from me to the ring.
f(x)=-16t²+20t+6-6t
=-16t²+14t+6
Solve for h in vertex formula h=-d/2a
a=-16, b=14, c=6
h= -14/-16 = 7/8
Substitute h to t:
x= -16t²+14t+6
= -16(7/8)² + 14(7/8) + 6
= 145/16
x= 9meters
Click here to see answer by ikleyn(52754) |
Question 1171204: 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?
How long did the ball actually hang in the air?
Click here to see answer by Boreal(15235)  |
Question 1171206: Hitting a golf ball into a tower?
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:
h(x)=-16x^2+120x 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 actually hang in the air?
Click here to see answer by Boreal(15235) |
Question 1171209: 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
The ball hung in the air for 5.235s
How high did Juan actually hit the ball?
Click here to see answer by Boreal(15235) |
Question 1171274: Determine the equation of the quadratic given roots-1/3, -2/5
The answer must be in the form ax^2+bx+c=0
I got 15x^2+11x+6=0
I need help...I dont think this is right but when the equation wasn't expanded and it had the brackets it made sense
Click here to see answer by ikleyn(52754) |
Question 1171299: You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16t2 + 12t. Will you be able to dunk the basketball?
You must solve by using the quadratic formula and upload work for credit.
Yes
No
Click here to see answer by Alan3354(69443)  |
Question 1171299: You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16t2 + 12t. Will you be able to dunk the basketball?
You must solve by using the quadratic formula and upload work for credit.
Yes
No
Click here to see answer by ikleyn(52754) |
Question 1171298: You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16t2 + 12t. Will you be able to dunk the basketball?
You must solve by using the quadratic formula and upload work for credit.
Yes
No
Click here to see answer by MathLover1(20849) |
Question 1171323: 1.) The area of a rectangular pool is 300 square feet. The length of the pool is 5 feet more than the width of the pool. What is the length of the pool?
2.) NASA is designing a new satellite to go on the international space station. The satellite disk is the shape of a parabola. The satellite will be attached to the station on a pole and will place the vertex of the satellite 4 feet away from the surface of the station. The receiver is to be positioned 7 feet above the roof. Write an equation that best models the parabolic cross section of the satellite dish.
3.) Bill Nye is launching a rocket for his next episode. The equation
h (t)= -16t² + 15t + 600 gives the height of the rocket at any given time. How long will it take for the rocket to reach the ground? Round to the nearest hundredth.
4.) The base of a triangle is 4 inches more than twice its height.
If the area of the triangle is 440 square inches, what is the base of the triangle in inches?
5.) 10
Jennifer, standing just outside her apartment building, throws a baseball upward from an initial height of 10 feet above the ground level at an initial velocity of 45 ft/sec. The height of the baseball in terms of elapsed time is a quadratic relationship. The generalized equation is
f(x)=-16x²+v0x+h0 where v0 represents the initial velocity and h0 represents the initial height. Lindsey, on her fourth floor balcony 50 feet above ground level, launches her drone helicopter that ascends at a constant rate of 23ft/sec. If Jennifer throws the baseball at the same time that Lindsey begins the ascent flight of her helicopter, write a system of equations that could be used to determine at what time(s) and height(s) the baseball would possibly strike the helicopter.
Click here to see answer by greenestamps(13195) |
Question 1171333: Given the parabola
(x+2)^2=-8(y-5), which of the following is the vertex and directrix?
The directrix is y=0 and the vertex is (-2,5)
The directrix is y=-4 and the vertex is (-2,5)
The directrix is y=7 and the vertex is (-2,5)
The directrix is y=3 and the vertex is (-2,5)
Click here to see answer by Edwin McCravy(20054)  |
Question 1171333: Given the parabola
(x+2)^2=-8(y-5), which of the following is the vertex and directrix?
The directrix is y=0 and the vertex is (-2,5)
The directrix is y=-4 and the vertex is (-2,5)
The directrix is y=7 and the vertex is (-2,5)
The directrix is y=3 and the vertex is (-2,5)
Click here to see answer by greenestamps(13195) |
Question 1171339: Jennifer, standing just outside her apartment building, throws a baseball upward from an initial height of 10 feet above the ground level at an initial velocity of 45 ft/sec. The height of the baseball in terms of elapsed time is a quadratic relationship. The generalized equation is
f(x)=-16x^2+v0x+h0 where v0 represents the initial velocity and h0 represents the initial height. Lindsey, on her fourth floor balcony 50 feet above ground level, launches her drone helicopter that ascends at a constant rate of 23ft/sec. If Jennifer throws the baseball at the same time that Lindsey begins the ascent flight of her helicopter, write a system of equations that could be used to determine at what time(s) and height(s) the baseball would possibly strike the helicopter.
Click here to see answer by ikleyn(52754) |
Question 1171331: Bill Nye is launching a rocket for his next episode. The equation
h(t)=-16t^2+15t+600 gives the height of the rocket at any given time. How long will it take for the rocket to reach the ground? Round to the nearest hundredth.
Click here to see answer by ikleyn(52754) |
Question 1171330: 2.) NASA is designing a new satellite to go on the international space station. The satellite disk is the shape of a parabola. The satellite will be attached to the station on a pole and will place the vertex of the satellite 4 feet away from the surface of the station. The receiver is to be positioned 7 feet above the roof. Write an equation that best models the parabolic cross section of the of the satellite dish.
Click here to see answer by greenestamps(13195) |
Question 1171520: The functions y=x2+3x-2, and y=5x-3 are graphed on the same set of axes. Find the Point(s) of intersection algebraically, Diagram is clearly labelled and accurate, An accurate quadratic equation is developed using the given information, Solving for unknown(s), Final statement given.
Click here to see answer by josgarithmetic(39613) |
Question 1171580: An object is propelled vertically upward from the ground with an initial velocity of 35 meters per second. Write the equation. When will the object be 25 meters above the ground? When will it strike the ground. What is the maximum height ?
Click here to see answer by ikleyn(52754) |
Question 1171618: You are trying to dunk a basketball. You need to jump 2.5ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t)=-16t^2 +12t. What is the maximum height your feet will be above ground? Will you be able to dunk the basketball?
Click here to see answer by ikleyn(52754) |
Question 1171725: A parachutist jumps from an altitude of 2000m.
_____________________________________________________
Time(s) 0 , 3 , 6 , 9 , 12
_________________________________________________
Height(m) 2000, 1911 , 1650, 1215 , 608
__________________________________________________
Determine the equation for your curve of good fit in factored form y=a(x-r)(x-s)
and using your equation estimate the parachutist's distance from the ground after 10 s.
Thanks
Click here to see answer by Theo(13342)  |
Question 1171863: This data was used to develop the quadratic equation , which models the population of the city y in millions in the year x, where x = 0 represents 2007, x = 1 represents 2008, and so on. Use the model to find the estimated population in the year 2009.
Click here to see answer by ikleyn(52754) |
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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, 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