Answers:
- Exponential and increasing
- Exponential and decreasing
- Linear and decreasing
- Linear and increasing
- Exponential and increasing
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Explanation:
Problems 1, 2, and 5 are exponential functions of the form
where b is the base of the exponent and 'a' is the starting term (when x=0).
If 0 < b < 1, then the exponential function decreases or decays. Perhaps a classic example would be to study how a certain element decays into something else. The exponential curve goes downhill when moving to the right.
If b > 1, then we have exponential growth or increase. Population models could be one example; though keep in mind that there is a carrying capacity at some point. The exponential curve goes uphill when moving to the right.
In problems 1 and 5, we have b = 2 and b = 1.1 respectively. We can see b > 1 leads to exponential growth. I recommend making either a graph or table of values to see what's going on.
Meanwhile, problem 2 has b = 0.8 to represent exponential decay of 20%. It loses 20% of its value each time x increases by 1.
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Problems 3 and 4 are linear functions of the form y = mx+b
m = slope
b = y intercept
This b value is not to be confused with the previously mentioned b value used with exponential functions. They're two different things. Unfortunately letters tend to get reused.
If m is positive, then the linear function is said to be increasing. The line goes uphill when moving to the right.
On the other hand if m is negative, then we go downhill while moving to the right. This line is decreasing.
Problem 3 has a negative slope, so it is decreasing. Problem 4 has a positive slope which is increasing.
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=−8/3
Decimal Form:
x=−2.6
Mixed Number Form:
x=−2 2/3
hope this helps
Step-by-step explanation:
18-6=12
4.5 the finest in a wide range is to make the best choice of
I don't really get what the "35,000 feet university sea level" part is saying, but without it, the answer would be:
3.5 x 550 = 1,925
The plane traveled 1,925 miles.
And with it, the answer would be:
3.5 x 550 = 1,925
35,000 ft = 6.6 mi
1,925 + 6.6 = 1,931.6
The plane traveled 1,931.6 miles.
Hope this helped a little at least.
Answer: (square root 6)/2
Step-by-step explanation:
1/2(2*square root 2)sin60