Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1019348: For what value(s) of k, if any, will the system have no solution, a unique solution, and infinitely many solutions? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
kx + 2y = 3
2x − 4y = −6
Click here to see answer by ikleyn(52769)  |
Question 1020512: I am having trouble figuring out how to connect what I know about quadratic equations to answering word problem
For example:
An astronaut throws a ball to a fellow astronaut on the moon. The height of the ball, h, at time, t, is given by the equation (h(t) = -2.7t^2+35t+7), where h is in feet and t is the number of seconds after the ball is thrown.
a) how high does the ball get
b) when does it reach that height?
c) how high is the ball after 4 seconds?
d) when will the ball hit the ground?
e) when does the ball reach 100 ft?
Click here to see answer by josgarithmetic(39615) |
Question 1020997: Hello, I am having trouble with a Word problem/quadratic equation. "A company manufactures high-powered fountains that can be used to create water shows set to light and music. The company makes 3 models, each can launch a vertical stream of water to a different height, as indicated in the table below . Model A Model B Model C
Height(ft)----------- -77---------100---------240
time to fall(s)---- --2.194---- ? ---- ?
Initial velocity (ft/s)----70.2---------?-----------123.9 ** I need to find the 3 missing values (time water would take to fall from each height in the table back to its starting level for models B & C, and the initial upward velocity required for model B to launch the water to its maximum height, and create a function that will give the minimum initial upward velocity (v) required to launch water to any give height (h). I apologize for such a large question and will appreciate any help you can give me!
Click here to see answer by stanbon(75887) |
Question 1021032: Please help and show all work. Thanks
A rancher has 280 feet of fence with which to enclose three sides of a rectangular field (the fourth side is a cliff wall and will not require fencing). Find the dimensions of the field with the largest possible area. (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side).)
length =_______ feet
width = ________feet
What is the largest area possible for this field?
area =________ feet-squared
Enter your answers as numbers. If necessary, round to the nearest hundredths.
Click here to see answer by Alan3354(69443)  |
Question 1021030: Please help and show all work. Thanks
The height y (in feet) of a ball thrown by a child is
y=−16x^2+2x+5
where x is the horizontal distance in feet from the point at which the ball is thrown.
(a) How high is the ball when it leaves the child's hand? ________ feet
(b) What is the maximum height of the ball? _______feet
(c) How far from the child does the ball strike the ground? ________feet
Click here to see answer by Alan3354(69443)  |
Question 1021026: I need help with this problem. Please help me and show all work. Thanks
A person standing close to the edge on top of a 144-foot building throws a ball vertically upward. The quadratic function h(t)=−16t^2+128t+144
h(t)=-16t^2+128t+144 models the ball's height about the ground, h(t)
in feet, t seconds after it was thrown.
a) What is the maximum height of the ball?
_________feet
b) How many seconds does it take until the ball hits the ground?
_________ seconds
Click here to see answer by KMST(5328)  |
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