Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 825555: - This winter, Mr.walker was out playing in the snow with the Walker-lers. The snow was great packing snow for snowballs, so they gathered up some neighbors and started to have friendly snowball fight. Mr.Walker went inside a friends apartment with a bucket of snowballs and started to launch them from the 4th floor window. He began to gather data on the snowball path so that he could have more accuracy when he threw them. One of the snowballs had a height(in feet)from the ground that followed the equation of h(t)= -16t^2+ 48t +64
(the 16t is squared to the second)
Can you help me solve this problem , please.
Click here to see answer by stanbon(75887)  |
Question 825635: The perimeter of a rectangle is 64 cm.
A) Obtain an equation the represents the area of the rectangle in terms of its length. [Hint: Recall that the area of a rectangle is A=LxW and the perimeter is P=2(L+W)].
B) Determine the length and the width that give the maximum area.
C) Determine the maximum possible area of the rectangle?
Please help me I don't understand this question. Thank you
Click here to see answer by TimothyLamb(4379)  |
Question 825655: -This winter, Mr.walker was out playing in the snow with the Walker-lers. The snow was great packing snow for snowballs, so they gathered up some neighbors and started to have friendly snowball fight. Mr.Walker went inside a friends apartment with a bucket of snowballs and started to launch them from the 4th floor window. He began to gather data on the snowball path so that he could have more accuracy when he threw them. One of the snowballs had a height(in feet)from the ground that followed the equation of  what is the greatest height from the ground that the snowball reaches? Graph the quadratic
Click here to see answer by TimothyLamb(4379) |
Question 825691: - This winter, Mr.walker was out playing in the snow with the Walker-lers. The snow was great packing snow for snowballs, so they gathered up some neighbors and started to have friendly snowball fight. Mr.Walker went inside a friends apartment with a bucket of snowballs and started to launch them from the 4th floor window. He began to gather data on the snowball path so that he could have more accuracy when he threw them. One of the snowballs had a height(in feet)from the ground that followed the equation of how long does it take the snowball to reach it's greatest height ?
Click here to see answer by nerdybill(7384)  |
Question 825679: A framer at a photo gallery wants to frame a print with a matte of uniform width all around the print. To make it pleasing to the eye, the area of the matte should equal the area of the print. If the print measures 50 cm by 75 cm, how wide should the matte be?
I got an answer that doesn't look right. Please provide me a solution so I can see where I went wrong. Thank you in advance.
Click here to see answer by josmiceli(19441)  |
Question 825822: Question 825655: -This winter, Mr.walker was out playing in the snow with the Walker-lers. The snow was great packing snow for snowballs, so they gathered up some neighbors and started to have friendly snowball fight. Mr.Walker went inside a friends apartment with a bucket of snowballs and started to launch them from the 4th floor window. He began to gather data on the snowball path so that he could have more accuracy when he threw them. One of the snowballs had a height(in feet)from the ground that followed the equation of  how long does it take the snowball to reach the ground ? (Round to the nearest hundredth)
Click here to see answer by josmiceli(19441) |
Question 825847: The length and width of a rectangular sheet of plywood is 4 ft. by 8 ft, how much must be added equally to the length and width to double the area? (Answer to the nearest tenth of a foot.)
Let x = the amount added
Click here to see answer by phoihe001(34)  |
Question 825996: The product of two consecutive numbers is 72. Use a quadratic equation to find the two sets of numbers.
So, (x - 8)(x-9) = 0
x^2 + -17 + 72 = 0
ax^2 + bx + c, where a = 1, b = -17 and c = 72.
"Plug" into x = b+-sqrt4ac/2a
I found online that:
-17 + sqrt(1)
-17 + 1 = -16/2 = -8
-17 - 1 = -18/2 = -9
Aren't you meant to plug in all the numbers in the equation? Why am I getting decimal numbers?
Click here to see answer by phoihe001(34) |
Question 825996: The product of two consecutive numbers is 72. Use a quadratic equation to find the two sets of numbers.
So, (x - 8)(x-9) = 0
x^2 + -17 + 72 = 0
ax^2 + bx + c, where a = 1, b = -17 and c = 72.
"Plug" into x = b+-sqrt4ac/2a
I found online that:
-17 + sqrt(1)
-17 + 1 = -16/2 = -8
-17 - 1 = -18/2 = -9
Aren't you meant to plug in all the numbers in the equation? Why am I getting decimal numbers?
Click here to see answer by Alan3354(69443)  |
Question 826009: The path of a river is given by the rule y = 1 x(x – 100) and all units are given in metres.
A highway is to be built near or over the river on the line y = c.
What is the x intercepts, y intercept, and turning point?
For the highway with equation y = c, decide how many bridges will need to be built if:
i) c=0 ii) c=-300
Locate the coordinates of the bridge correct to one decimal place if:
i) c=-200 ii) c=-10
Describe the situation when c = -250.
Click here to see answer by Alan3354(69443) |
Question 826011: The cable for a suspension bridge is modelled by the equation h = 1/800(x − 200)^2 + 30 where h metres is the distance above the base of the bridge and x metres is the distance from the left side of the bridge.
Determine the turning point of the graph of the equation.
Determine the suitable values of x.
Determine the range of values of h.
What distance does the cable span?
What is the closest distance of the cable from the base of the bridge?
What is the greatest distance of the cable from the base of the bridge?
Click here to see answer by stanbon(75887) |
Question 826024: -This winter, Mr.walker was out playing in the snow with the Walker-lers. The snow was great packing snow for snowballs, so they gathered up some neighbors and started to have friendly snowball fight. Mr.Walker went inside a friends apartment with a bucket of snowballs and started to launch them from the 4th floor window. He began to gather data on the snowball path so that he could have more accuracy when he threw them. One of the snowballs had a height(in feet)from the ground that followed the equation of  where t represents time in seconds. In the real world ,what is the singnifivance of the y-intercept(s) in the situation ?
Click here to see answer by Fermat(136)  |
Question 826426: A parabola is defined as a set of points that are equidistant from a given line (called the directrix of the parabola) and a given point (called the focus) of the parabola.
Find an equation that describes all the points that are the same distance from the x-axis and the point (0,2).
Click here to see answer by josgarithmetic(39613) |
Question 826426: A parabola is defined as a set of points that are equidistant from a given line (called the directrix of the parabola) and a given point (called the focus) of the parabola.
Find an equation that describes all the points that are the same distance from the x-axis and the point (0,2).
Click here to see answer by Edwin McCravy(20054)  |
Question 826452: Okay, I am stuck with Paul's trucking company which hauls oversized loads. The truck travels through a tunnel with a wide opening in the shape of a parabola that is 12 meters wide and and 6 meters high.
How do I find a function, T(x), for the shape of the tunnel. I am also supposed to draw it but it would be a huge favor if I get a walk-in through this and that won't be much of a work if I get that far.
I appreciate the help in advance, and I look forward to get a reply soon. Thanks :)
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 826510: Gatorade/Tropicana North America, a subsidiary of PepsiCo, produces fruit juices and other flavored beverages. Based on data from 1999 to 2001, the net sales (revenue) of Gatorade/Tropicana North America may be modeled by
R(t) = -107t2+496t+3452 million dollars
and the operating profit (earnings before interest and taxes) may be modeled by
P(t) = −18.5t2 + 85.5t + 433 million dollars
- where t is the number of years since 1999. (Source: Modeled from 2001 PepsiCo Annual Report, p.44.)
6. Profit = Revenue – Costs. Find an expression representing the costs for this time period.
7. What was the revenue in 2000? (Years since 1999 = 1.)
8. What was the profit in 2000?
9. Use the equation found in question 6 to find the costs in 2000.
10. R and P were calculated in problems 7 and 8. Use these results to find C. How does this value compare with the result of problem 9?
Click here to see answer by psbhowmick(878)  |
Question 827135: Hi I am having trouble with these two maths questions. It would be great if you could send me the working out!!
Two tanks contain equal amounts of water. They are connected by a pipe and 3000 liters of water is pumped from one tank to the other. One tank then contains 6 times as much as water as the other. How many liters of water did each tank contain originally?
A 120 page book has p lines to a page. If the number of lines were reduced by 3 on each page the number of pages would need to be increased by 20 to give the same amount of writing space. How many lines were there on the page originally?
Thanks
Click here to see answer by josgarithmetic(39613) |
Question 827135: Hi I am having trouble with these two maths questions. It would be great if you could send me the working out!!
Two tanks contain equal amounts of water. They are connected by a pipe and 3000 liters of water is pumped from one tank to the other. One tank then contains 6 times as much as water as the other. How many liters of water did each tank contain originally?
A 120 page book has p lines to a page. If the number of lines were reduced by 3 on each page the number of pages would need to be increased by 20 to give the same amount of writing space. How many lines were there on the page originally?
Thanks
Click here to see answer by JBarnum(2146)  |
Question 827056: one of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air. The height of the ball is modeled by the equation h(t)= -16t^2+39t. if the bell is 25ft above the ground, will it be hit by the ball?
Click here to see answer by nerdybill(7384) |
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