11. Q11c
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Similar Question 1
<p>The distance of a ship from its harbour is modelled by the function <code class='latex inline'>d(t)=-3t^3+3t^2+18t</code>, where <code class='latex inline'>t</code> is the time elapsed in hours since departure from the harbour.</p><p>Factor the time function.</p>
Similar Question 2
<p>The function <code class='latex inline'>s(t)=-\displaystyle{\frac{1}{2}}gt^2+v_0t+s_0</code> can be used to calculate <code class='latex inline'>s</code>, the height above a planet&#39;s surface in metres, where <code class='latex inline'>g</code> is the acceleration due to gravity, <code class='latex inline'>t</code> is the time in seconds, <code class='latex inline'>v_0</code> is the initial velocity in metres per second, and <code class='latex inline'>s_0</code> is the initial height in metres. The acceleration due to gravity on Mars is <code class='latex inline'>g=-3.92</code><code class='latex inline'>m/s^2</code> Find, to two decimal places, how long it takes an object to hit the surface of Mars if the object is dropped from 1000 m above the surface.</p><p><a href="https://youtu.be/8RXIPqCIV4o">HINT</a></p>
Similar Question 3
<p>The Sickle-Lichti family members are very competitive card players. They keep score using a complicated system that incorporates positives and negatives. Maya&#39;s score for the last game night could be modelled by the function <code class='latex inline'>S(x)=x(x-4)(x-6), x<10, x\in \mathbb{W}</code>, where <code class='latex inline'>x</code> represents the game number.</p><p>After which game was Maya&#39;s score <code class='latex inline'>-5</code>?</p>
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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
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<p>The Sickle-Lichti family members are very competitive card players. They keep score using a complicated system that incorporates positives and negatives. Maya&#39;s score for the last game night could be modelled by the function <code class='latex inline'>S(x)=x(x-4)(x-6), x<10, x\in \mathbb{W}</code>, where <code class='latex inline'>x</code> represents the game number.</p> <ul> <li>After which game was Maya&#39;s score equal to zero?</li> </ul>
<p>The distance of a ship from its harbour is modelled by the function <code class='latex inline'>d(t)=-3t^3+3t^2+18t</code>, where <code class='latex inline'>t</code> is the time elapsed in hours since departure from the harbour.</p><p>Factor the time function.</p>
<p>The Mary Po family members are very competitive card players. They keep score using a complicated system that incorporates positives and negatives. Maya&#39;s score for the last game night could be modelled by the function <code class='latex inline'>S(x)=x(x-4)(x-6), x<10, x\in \mathbb{W}</code>, where <code class='latex inline'>x</code> represents the game number.</p><p>After which game was Maya&#39;s score 16?</p>
<p>The Sickle-Lichti family members are very competitive card players. They keep score using a complicated system that incorporates positives and negatives. Maya&#39;s score for the last game night could be modelled by the function <code class='latex inline'>S(x)=x(x-4)(x-6), x<10, x\in \mathbb{W}</code>, where <code class='latex inline'>x</code> represents the game number.</p><p>After which game was Maya&#39;s score <code class='latex inline'>-5</code>?</p>
<p>The Mary Po family members are very competitive card players. They keep score using a complicated system that incorporates positives and negatives. Maya&#39;s score for the last game night could be modelled by the function <code class='latex inline'>S(x)=x(x-4)(x-6), x<10, x\in \mathbb{W}</code>, where <code class='latex inline'>x</code> represents the game number.</p><p>Draw a sketch of the graph of <code class='latex inline'>S(x)</code> if <code class='latex inline'>x\in\mathbb{R}</code>. Explain why this graph is not a good model to represent Maya&#39;s score during this game night.</p>
<p>The function <code class='latex inline'>s(t)=-\displaystyle{\frac{1}{2}}gt^2+v_0t+s_0</code> can be used to calculate <code class='latex inline'>s</code>, the height above a planet&#39;s surface in metres, where <code class='latex inline'>g</code> is the acceleration due to gravity, <code class='latex inline'>t</code> is the time in seconds, <code class='latex inline'>v_0</code> is the initial velocity in metres per second, and <code class='latex inline'>s_0</code> is the initial height in metres. The acceleration due to gravity on Mars is <code class='latex inline'>g=-3.92</code><code class='latex inline'>m/s^2</code> Find, to two decimal places, how long it takes an object to hit the surface of Mars if the object is dropped from 1000 m above the surface.</p><p><a href="https://youtu.be/8RXIPqCIV4o">HINT</a></p>
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