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Similar Question 1

<p>A parachutist jumps from an airplane and immediately opens his parachute. His altitude, <code class='latex inline'>y</code>, in metres, after t seconds is modelled by the equation <code class='latex inline'>y=-4t+300</code>. A second parachutist jumps <code class='latex inline'>5</code> s later and free falls for a few seconds. Her altitude, in metres, during this time, is modelled by the equation <code class='latex inline'>y = -4.9(t -5)^2 + 300</code>. When does she reach the same altitude as the first parachutist?</p>

Similar Question 2

<p>The path of an underground stream is given by the function <code class='latex inline'>y = 4x^2 + 17x- 32</code>.
Two new houses need wells to be dug. On the area plan, these houses lie on a line defined by the equation <code class='latex inline'>y = -15x + 100</code>. Determine the coordinates where the two new wells should be dug.</p>

Similar Question 3

<p>Andrea's supervisor
at the actuarial firm has asked her to determine the safety zone needed for a fireworks display. She needs to find out where the safety fence needs to be placed on a hill. The fireworks are to be launched from a platform at the base of the hill. Using the top of the launch platform as the origin and taking some measurements, in metres, Andrea comes up with the following equations.</p><p>Cross-section of the slope of one side of the hill: <code class='latex inline'>y = -4x -12</code></p><p>Path of the fireworks: <code class='latex inline'>y = -x^2 + 15x</code></p><p><strong>(a)</strong> Illustrate this situation by graphing both equations on the same set of axes.</p><p><strong>(b)</strong> Calculate the coordinates of the point where the function that describes the path of the fireworks will intersect the equation for the hill.</p>

Similar Questions

Learning Path

L1
Quick Intro to Factoring Trinomial with Leading a

L2
Introduction to Factoring ax^2+bx+c

L3
Factoring ax^2+bx+c, ex1

Now You Try

<p>The revenue function for a production by a theater group is given by <code class='latex inline'>R(t) = -50t^2 + 300t</code>, where <code class='latex inline'>t</code> is the ticket price. The cost function for the production is given by the function <code class='latex inline'>C(t) = 600-50t</code>. Determine the ticket price(s) that must be sold that will allow the production to break even.</p>

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