Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1159323: A picture frame holds an 8-inch by 10-inch photograph. The frame adds a border x inches wide around three sides of the photo. On the fourth side, the frame is wider to accommodate a decoration on the frame. The forth side is (3x-1) inches wide, as shown in the figure.
a) write a quadratic expression for the combined area of the frame in terms of x.
b)if the border on the three matching sides in 1 inch, what is the combined area of the frame?
c)if the combined area of the frame is 165 square inches, find x.
Click here to see answer by MowMow(42)   |
Question 1159348: I do not understand these problems...
An arrow is shot upward at an initial velocity of 40 meters per second. Use the function: h=40t-5t^2 to answer the following questions:
1).what is the height of the arrow in meters after 5 seconds? Solve algebraically. Show Work.
2). After how many seconds will the arrow be 30 meters high? Use the quadratic formula. Show work.
3). when will the arrow be back on the ground? solve algebraically using factoring. Show work.
Thank you for your help
Click here to see answer by Boreal(15235)  |
Question 1159348: I do not understand these problems...
An arrow is shot upward at an initial velocity of 40 meters per second. Use the function: h=40t-5t^2 to answer the following questions:
1).what is the height of the arrow in meters after 5 seconds? Solve algebraically. Show Work.
2). After how many seconds will the arrow be 30 meters high? Use the quadratic formula. Show work.
3). when will the arrow be back on the ground? solve algebraically using factoring. Show work.
Thank you for your help
Click here to see answer by MathLover1(20849)  |
Question 1159348: I do not understand these problems...
An arrow is shot upward at an initial velocity of 40 meters per second. Use the function: h=40t-5t^2 to answer the following questions:
1).what is the height of the arrow in meters after 5 seconds? Solve algebraically. Show Work.
2). After how many seconds will the arrow be 30 meters high? Use the quadratic formula. Show work.
3). when will the arrow be back on the ground? solve algebraically using factoring. Show work.
Thank you for your help
Click here to see answer by ikleyn(52780)  |
Question 1159485: I need help with this question...
Using a potato launcher, a potato is launched upward in the air with an initial velocity of 9 meters per second. How high will the potato be 1.5 seconds after it is launched? Use d = rt - 5t^2
thank you
Click here to see answer by Alan3354(69443)  |
Question 1159484: I am not understanding this problem...
Using a potato launcher, a potato is launched upward in the air with an initial velocity of 9 meters per second. When will the potato be back at the level of the launcher? Use d = rt - 5t^2
thank you
Click here to see answer by MathLover1(20849) |
Question 1159484: I am not understanding this problem...
Using a potato launcher, a potato is launched upward in the air with an initial velocity of 9 meters per second. When will the potato be back at the level of the launcher? Use d = rt - 5t^2
thank you
Click here to see answer by ikleyn(52780) |
Question 1159677: 1. A farmer wants to make a rectangular pen along the side of a large barn and has enough material for 60 m of fencing. Only three sides must be fenced, since the barn wall will form the fourth side. What dimensions should the farmer use so that the maximum area is enclosed? Show work.
Click here to see answer by ikleyn(52780) |
Question 1159606: a guy wire is a wire which is attached to an object and secured to the ground. quite often an object is secured on either side by a pair of guy wires as shown in the diagram below. suppose that wire #1 makes an angle of 62degrees to the ground and is 35m in length, while wire #2 makes an angle of 48 degrees to the ground (its length not given). given the specified angles, what distance from the first wire should the second wire be secured to the ground?
Click here to see answer by mananth(16946)  |
Question 1159606: a guy wire is a wire which is attached to an object and secured to the ground. quite often an object is secured on either side by a pair of guy wires as shown in the diagram below. suppose that wire #1 makes an angle of 62degrees to the ground and is 35m in length, while wire #2 makes an angle of 48 degrees to the ground (its length not given). given the specified angles, what distance from the first wire should the second wire be secured to the ground?
Click here to see answer by MathTherapy(10552)  |
Question 1159606: a guy wire is a wire which is attached to an object and secured to the ground. quite often an object is secured on either side by a pair of guy wires as shown in the diagram below. suppose that wire #1 makes an angle of 62degrees to the ground and is 35m in length, while wire #2 makes an angle of 48 degrees to the ground (its length not given). given the specified angles, what distance from the first wire should the second wire be secured to the ground?
Click here to see answer by greenestamps(13200)  |
Question 1159778: How do i find the quadratic equation for this:
"You're designing a candy bowl that has a circular bottom surface. They want the diameter of the bowl in the opening above to be 12 cm and the height of the bowl to be 8 cm. Formulate a quadratic equation that, when rotating around the y-axis, describes a circular bottom surface. You can decide the diameter for the bottom yourself."
I have set the diameter to 2cm and decided that it will rotate from x=1 to x=-1. Shouldn't the equation be y = (x+1)(x-1)???
Click here to see answer by MowMow(42) |
Question 1159830: The question is: Use the numbers to create a quadratic equation with the solutions x=-1 and x=1/4.
The numbers are: -5, -4, -3, -2, -1, 1, 2, 3, 4, 5
I have to answer the question in the format:
[number] x^2 + [number] x + [number] = 0
Click here to see answer by Alan3354(69443) |
Question 1159830: The question is: Use the numbers to create a quadratic equation with the solutions x=-1 and x=1/4.
The numbers are: -5, -4, -3, -2, -1, 1, 2, 3, 4, 5
I have to answer the question in the format:
[number] x^2 + [number] x + [number] = 0
Click here to see answer by ikleyn(52780) |
Question 1159587: A teacher can sell 123 of her pies at $4 per pie. for each $0.50 decreases in price, she can sell 20 additional pies
the quadratic equation = -10x^2+18.5x+492
what price should she charge to maximize her revenue
how many pies does she need to sell in order to ensure a revenue of $450
Click here to see answer by Alan3354(69443) |
Question 1159966: Ignoring air resistance, the distance, d (in meters), that an object drops in t seconds is given by the equation d=4.9t^2
Find the distance traveled in 5 sec.
Find the time required for the object to fall 50 m. Round to the nearest tenth of a second.
Find the time required for an object to fall from the top of the Canada Trust Tower in Toronto, Canada, if the building is 261 m high. Round to the nearest tenth of a second.
Click here to see answer by Alan3354(69443) |
Question 1159968: According to the International Swimming Federation, the volume of an eight-lane Olympic size pool should be 2500 m3. The length of the pool is twice the width, and the depth is 2 m. Use a calculator to find the length and width of the pool.
I am trying to see if I have done these right.
Click here to see answer by josgarithmetic(39617) |
Question 1160000: A ball is shot into the air. Its height h, in metres, after t seconds is modelled by
h = - 4.9t2 + 30t + 1.6.
(a) How long will it take the ball to reach a height of 35 m (Answer to the nearest tenth of a second)?
(b) When does the ball land on the ground (Answer to the nearest tenth of a second)?
Click here to see answer by ikleyn(52780) |
Question 1160089: Consider the rational function-
π
(π₯)= (π₯β1)(π₯+2)(π₯β3)π₯(π₯β4)2
(a) Find the domain of the rational function.
(b) Determine x and y-intercepts , if any. Use multiplicity to determine the behavior of the graph of π
at each x-intercept.
(c) Determine the horizontal, vertical or oblique asymptote, if one exists.
(d) Use the zeros of numerator and denominator of π
to divide the x-axis into intervals.
Determine where the graph of π
above or below the x-axis.
(e) Draw the graph using above data.
Click here to see answer by ikleyn(52780) |
Question 1160125: A rectangular garden is surrounded by a walk of uniform width. The area of the garden is 180 square yards. If the dimensions of the garden plus the walk are 16 yards by 24 yards (height by base), find the dimensions of the garden. What is the height?
Click here to see answer by mananth(16946) |
Question 1160125: A rectangular garden is surrounded by a walk of uniform width. The area of the garden is 180 square yards. If the dimensions of the garden plus the walk are 16 yards by 24 yards (height by base), find the dimensions of the garden. What is the height?
Click here to see answer by greenestamps(13200) |
Question 1160125: A rectangular garden is surrounded by a walk of uniform width. The area of the garden is 180 square yards. If the dimensions of the garden plus the walk are 16 yards by 24 yards (height by base), find the dimensions of the garden. What is the height?
Click here to see answer by ikleyn(52780) |
Question 1160124: A rectangular garden is surrounded by a walk of uniform width. The area of the garden is 180 square yards. If the dimensions of the garden plus the walk are 16 yards by 24 yards (height by base), find the dimensions of the garden. What is the base?
Click here to see answer by ikleyn(52780) |
Question 1160001: A campground charges $20.00 to camp for one night. They average 56 people each night. A recent survey indicated that for every $1.00 decrease in the nightly price, the number of camping sites rented increases by 7.
Create a Revenue equation.
What price will maximize nightly revenue? Show the steps of your solution.
Click here to see answer by Boreal(15235) |
Question 1160191: A small paper box is to be made from a sheet of paper measuring 20cm by 12 cm. The sides of the box are formed when a congruent square is cut from each corner, which allows the sides to fold up. The base of the box has an area of 65cm2.
Write an equation to represent the area of dimensions of the base.
Determine the side length of the congruent squares.
Determine the dimensions of the box.
Click here to see answer by josgarithmetic(39617) |
Question 1160192: John and Aaron start running from the same point. John runs due north at a rate of 10km/hour and Aaron runs due west at a rate of 12km/hour.
Write an equation to represent their distance.
How long will it take for the two men to be 80km apart?
Click here to see answer by solver91311(24713)  |
Question 1160190: An open-Ββtopped storage box is to be made from a sheet of cardboard 8 feet by 10 feet. The sides of the box are formed when a congruent square is cut from each corner, which allows the sides to fold up. The base of the box has an area of 28.16 sq. feet.
Write an equation to represent the area of dimensions of the base.
Determine the side length of the congruent squares.
Determine the dimensions of the box
Click here to see answer by josgarithmetic(39617) |
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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, 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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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