Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 955017: A horse runs along the road. Its distance from the lamp post P on the side of the road is measured at different times, t, and has the form d(t)=at^2+bt+5
The distances are recorded in the table below:
Time(in seconds) 1 2 3 4 5 6
Distance(meters) 10 17 g 37 h 65
So 1 corresponds with 10 and 2 with 17 and so forth.
Determine the values of a and b, for d(t)=at^2+bt+5
(1) a=1 and b=4
(2) a=19/3 (6.33333..) and b=-4/3 (-1.33333..)
(3) a=-9 and b=24
(4) a=6 and b=-1
(5) or none of the above
Click here to see answer by Fombitz(32388)  |
Question 955517: A small rock sits on the edge of a tall building. A strong wind blows the rock off the edge. The distance, in feet, between the rock and the ground tseconds after the rock leaves the edge is given by d=−16t2−4t+472.
How many seconds after the rock leaves the edge is it 460feet from the ground?
How many seconds after the rock leaves the edge does it hit the ground?
If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth, if needed.
Click here to see answer by Alan3354(69443)  |
Question 955813: can you help me with this problem?
Two consecutive numbers can be represented by x and x+1. The product of two consecutive numbers is equal to 35 more than 11 times the sum of the numbers. Write a quadratic equation represent the situation.
I got (x)(x+1)= and that's it. Can you help me by showing your work, not so I can copy, but because I have absolutely no idea how to solve this problem. Thank you :)
Click here to see answer by Alan3354(69443)  |
Question 955845: A small rock sits on the edge of a tall building. A strong wind blows the rock off the edge. The distance, in feet, between the rock and the ground tseconds after the rock leaves the edge is given by d=−16t2−7t+500.
If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth, if needed.
How many seconds after the rock leaves the edge is it 461feet from the ground?
How many seconds after the rock leaves the edge does it hit the ground?
Click here to see answer by Alan3354(69443)  |
Question 955844: A ladder of length 2x+1feet is positioned against a wall such that the bottom is x−1feet away from a wall. The distance between the floor and the top of the ladder is 2xfeet.
Find the length, in feet, of the ladder.
Assume that a right angle is formed by the wall and the floor.
Click here to see answer by macston(5194)  |
Question 955843: At a tennis club, a 18,000ft2 rectangular area is partitioned into three rectangular courts of equal size. A total of 920feet of fencing is used to enclose the three courts, including the interior sides. What are the possible dimensions, in feet, of the entire rectangular area?
Select all that apply.
Click here to see answer by josgarithmetic(39616) |
Question 956114: "Question 956107"
"A parabola does not have a width and height.
Can you explain what you mean by 7 m wide and 4 m high? Above the x-axis? Below?
Please repost."
This is a repost. basically what I meant by it is:
Design a house with the front facade in the shape of a parabola. The dimensions of the parabola, 7m's wide by 4m's high. Find the quadratic equation of the parabola design.
Click here to see answer by Fombitz(32388)  |
Question 956118: Okay, I'm sorry but I really don't understand what you did there. To specify a bit more.
The dimensions of the facade of the house, should be 7m wide and 4 ms high, it should be a parabola, use the origin of the parabola as one corner. Find the quadratic equation to that.
Click here to see answer by Alan3354(69443)  |
Question 956147: The dimensions of the facade of the house, should be 7m wide and 4 ms high, it should be a parabola, use the origin of the parabola as one corner. Find the quadratic equation to that.
--------------
3 points are (0,0), (3.5,4) and (7,0)
y = ax^2 + bx + c
At x = 0, y = 0 --> c = 0
----
At x = 7, y = 0
49a + 7b = 0
7a + b = 0
b = -7a
---
At x = 3.5, y = 4
12.25a + 3.5b = 4
Sub for b
12.25a - 24.5a = 4
-12.25a = 4
a = -16/49
---
b = 16/7
-------------
And then they got
y=16x^2/49+16x/7
What I am wondering is how you got there, because I have looked very hard a it and can not make sense of it, would someone please explain the process a bit more clearly?
Click here to see answer by MathLover1(20849)  |
Question 956644: A computer can sort x objects in t seconds, as modeled by the function below:
t = 0.003x^2 + 0.001x
How many objects are required to keep the computer busy for exactly 7 seconds?
Round to the nearest whole object.
(Please help me, thank you)
Click here to see answer by stanbon(75887) |
Question 956644: A computer can sort x objects in t seconds, as modeled by the function below:
t = 0.003x^2 + 0.001x
How many objects are required to keep the computer busy for exactly 7 seconds?
Round to the nearest whole object.
(Please help me, thank you)
Click here to see answer by Theo(13342)  |
Question 956636: The dimensions of the facade of the house, should be 7m wide and 4 ms high, it should be a parabola, use the origin of the parabola as one corner. Find the quadratic equation to that.
--------------
3 points are (0,0), (3.5,4) and (7,0)
y = ax^2 + bx + c
At x = 0, y = 0 --> c = 0
----
At x = 7, y = 0
49a + 7b = 0
7a + b = 0
b = -7a
---
At x = 3.5, y = 4
12.25a + 3.5b = 4
Sub for b
12.25a - 24.5a = 4
-12.25a = 4
a = -16/49
---
b = 16/7
-------------
And then they got
y=16x^2/49+16x/7
I do not understand the process here, I am practicing for my exam and this on the practice exam, could someone please explain the process clearly to me? That would be greatly appreciated
Click here to see answer by Fombitz(32388)  |
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