Answer:
<em>The average rate of descent over the last 3 hours is 1000 ft/h.
</em>
Step-by-step explanation:
<u>Rate of Change</u>
It's usually referred to as to the variation that one magnitude has in reference to another. The reference magnitude can be time t. The rate of change is calculated as the slope of the curve that represents the function.
The image shows the variation of Mike's height above sea level in feet with time in hours. We need to calculate the rate of change in the last three hours (from 7 to 10).
The rate of change can be calculated with the slope of the line, which formula is:
Let's pick two points (7,4000) (10,1000):
Note the rate of change is negative, which means the height is decreasing.
The average rate of descent over the last 3 hours is 1000 ft/h.
T<span>he product of -2x^3+x-5 and x^3-3x-4 would look like this before simplification:
-2x^6 + 6x^4 - 8x^3 + x^4 - 3x^2 - 4x - 5x^3 + 15 x^2 + 20
Now combine all the like terms. For example, 6x^4 + x^4 = 7x^4.
Write the product in the simplest possible form, which involves combining like terms and arranging them in descending order by power of x.
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Answer:
Domain : (-∞,∞) Range : (-∞,∞)
Step-by-step explanation:
Given:
f(x) = 3x+5
To find: Domain and Range of f(x)
Domain is the set of values that x can take.
Range is the set of values of y corresponding to the values of x in the domain.
Here x can take any value and the domain is the set of real numbers i.e (-∞,∞).
f(x) = 3x + 5
The graph of f(x) is a straight line that extends from -∞ to +∞ and hence the range is (-∞,∞).
Recall that the probability of multiple events occurring is equal to their individual probabilities. The chance of rolling a one is 1/6, so the chance of that occurring three times is (1/6)^3, which is equal to 1/216.
