Why is California at higher risk for earthquakes than North Dakota
1 answer:
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<h2>Answer:</h2>
We need to determine the equation of both lines first.
- Line 1: <em>y = -2x + 3</em>
- Line 2: <em>y = -1/3x - 2</em>
Now that we know the equations, we can set up a system of equations for this graph where both equations are in standard form.
Line 1:
Line 2:
<em>Final answer:</em>
Answer:
64
Step-by-step explanation:
<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have , which equals zero when
. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.
<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.
