Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1073231: You just had a pool installed that has dimensions of 10ft x 24ft by 4ft deep. You want to install a cement patio all the way around the pool that extends the same distance around every side of the pool. A cement truck holds enough cement to cover 810ft squared at a 4-inch depth. If you don't want to have to pay for second truck, what is the widest you can make the patio around your new pool?
Click here to see answer by ikleyn(52750)   |
Question 1073265: JP launches a rocket straight upwards from a height of 20 feet above the ground with an initial upward velocity of 85 feet per second. The equation h(t) = -16t² + 85t + 20 models the height of the rocket off of the ground, t seconds after the rocket is launched.
a) Find the height of the rocket 3 seconds after it is launched.
b) At what time will the rocket reach the maximum height? What is the maximum height of the rocket? (4 pts)
c) When will the rocket reach a height of 100 feet?
d) At what time will the rocket hit the ground?
I know part a. is 131 feet. I need help with part b,c,and d. Please!
Click here to see answer by Alan3354(69443)  |
Question 1073263: JP launches a rocket straight upwards from a height of 20 feet above the ground with an initial upward velocity of 85 feet per second. The equation h(t) = -16t² + 85t + 20 models the height of the rocket off of the ground, t seconds after the rocket is launched.
a) Find the height of the rocket 3 seconds after it is launched.
b) At what time will the rocket reach the maximum height? What is the maximum height of the rocket?
c) When will the rocket reach a height of 100 feet?
d) At what time will the rocket hit the ground?
Click here to see answer by Alan3354(69443) |
Question 1073307: In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = -x^2 -5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Click here to see answer by Fombitz(32388)  |
Question 1073308: In two or more complete sentences, compare the number of x-intercepts in the graph of f(t) = t^2 to the number of x-intercepts in the graph of g(t) = (t – 8)^2. Be sure to include the transformations that occurred between the parent function f(t) and its image g(t).
Click here to see answer by josgarithmetic(39613) |
Question 1073612: In two or more complete sentences, compare the number of x-intercepts in the graph of f(t) = t^2 to the number of x-intercepts in the graph of g(t) = (t +3)^2. Be sure to include the transformations that occurred between the parent function f(t) and its image g(t).
Click here to see answer by stanbon(75887) |
Question 1073647:
Find the vertex of the graph of the quadratic function. Determine whether the graph opens upward or downward, find any intercepts, and sketch the graph.
f(x)=-x^2-2x+3
A. The vertex is:
B. The parabola opens downward or upward
C. The x-intercepts are:
D. The Y-intercepts are:
E; Graph
Click here to see answer by stanbon(75887) |
Question 1073635: Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation h = -8t^2 + 40t, where h represents the height of the ball above the ground and t represents the time in seconds.
How many seconds does it take the ball to reach its highest point?
What ordered pair represents the highest point that the ball reaches as it travels through the air?
Click here to see answer by jorel1380(3719)  |
Question 1073707: A ball is thrown upwards. Its height is described by the equation h=-5t^2+20t where h is measured in meters and t is measured in seconds.
a) Common factor h=-5t^2+20t
b) How high is the ball at 0 seconds? 1 Seconds? 2 Seconds?
c)Using the factored expression, find the time when the ball hits the ground.
d) Use your answer from c) to find the maximum height of the ball and when it occurs.
Click here to see answer by josgarithmetic(39613) |
Question 1073754: A new coffee shop sells various coffee related items. The profit of this new coffee shop can be described by the equation, P=-4n^2+64n-112, where P represents profit in thousand of dollars and n represents the number of customers, in ten thousands.
a) What is the profit if no customers visit the store?
b) What are the break-even points of the store?
c)What is the maximum possible profit of the store?
d) If a company makes a $80 000 profit they receive an award. How many customers are needed in order for the company to receive the award?
Click here to see answer by htmentor(1343)  |
Question 1073956: In this discussion, explore practical applications of quadratic functions. Who uses them? Do they occur in nature? Are they useful in industry? Don't limit yourself to these questions; any reasonable exploration of the practical side of quadratic functions will do.
Click here to see answer by ikleyn(52750) |
Question 1073956: In this discussion, explore practical applications of quadratic functions. Who uses them? Do they occur in nature? Are they useful in industry? Don't limit yourself to these questions; any reasonable exploration of the practical side of quadratic functions will do.
Click here to see answer by josgarithmetic(39613) |
Question 1073967: You are playing tennis with a friend. The path of the tennis ball after you return a server can be modeled by the function y = -.005 +.17x +3, where x is the horizontal distance (in feet) from where you hit the ball and y is the height (in feet) of the ball.
What is the maximum height of the tennis ball?
You are standing 30 feet from the net, which is 3 feet high. Will the ball clear the net?
Explain
Click here to see answer by josmiceli(19441)  |
Question 1073993: A rectangle has a length of 15 inches and a width of 8 inches. If the length is increased by x inches and the width increased by twice that amount, express the area A of the rectangle as a function of x, where A is measured in square inches.
Click here to see answer by josgarithmetic(39613) |
Question 1074298: The area of a rectangle is three times the area of a square of side (x+1)cm. The length and breadth of the rectangle are (2x+5)cm and (2x-1)cm respectively.
a) Form an equation in x and show that it reduces to x^2+2x-8=0
b) Solve the equation and find the area of the rectangle.
Click here to see answer by josgarithmetic(39613) |
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