Answer:
<em>For each horizontal foot, the roller coaster changes </em><em>6 feet</em><em> of height.</em>
Step-by-step explanation:
Across a horizontal distance of 25 feet, a roller coaster has a steep drop.
So the run is 25 feet.
The height of the roller coaster at the bottom of the drop is -150 feet. (Negative sign is given because it is measured from the top to bottom)
So the rise is 150 feet.
The slope of the roller coaster is,

Slope of 6 means, for 1 unit of run, the object has a rise of 6 units.
Therefore, for each horizontal foot, the roller coaster changes 6 feet of height.
Answer:
1
Step-by-step explanation:
The production cost of company 1 never gets below 340 (at x=20), found e.g., by equating the derived function to 0.
You can figure out that g(x) = 0.05x^2 -7x + 300, but you already know that company 1 has higher cost based on the example values for g(x).
Answer:
7/9
Step-by-step explanation:
First Fractions need to be same so bottom number is 9
So to get 1/3 to nine we need to do 3x3 which equals 9
So we are with 3/9 and 4/9. Add top numbers and u get 7/9
A short-cut to accurately evaluate the given expression above is using a scientific calculator where one can include integrals and evaluate using limits. In this case, using a calculator, the answer is equal to 0.2679. One can verify this by integrating truly letting 1-x^2 as u and use its du to be substituted in the numerator