The rational expression
will be undefined where the denominator is zero. Values of v that make the denominator zero are v=3 and v=-2.
Excluded values of v are -2 and 3.
<em>Answer:</em>
<em>p = 1/8</em>
<em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>⁸⁾-3p + 1/8 = ²⁾- 1/4</em>
<em>- 24p + 1 = - 2</em>
<em>- 24p = - 2 - 1</em>
<em>- 24p = - 3 | (-)</em>
<em>24p = 3</em>
<em>p = 3⁽³/24</em>
<em>p = 1/8</em>
<em>Good luck !</em>
B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B
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.
Answer:
6
Step-by-step explanation:
The median of a list of numbers is the number found in the "middle" of all the numbers. What this means is that it has the same amount of numbers larger and smaller than it in the list. To find the median, we first have to organize the list from least to greatest. Doing this, we get 3, 5, 5, 6, 6, 8, 8.
Now that we have the list, we can find the "middle number" by taking off numbers the highest number then the lowest number. Doing this we get
3, 5, 5, 6, 6, 8, 8
5, 5, 6, 6, 8
5, 6, 6
6
This means our median is 6.
