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.
Answer:
11.66 per week
Step-by-step explanation:
alex gets 11.66
dann gets 23.32
eva gets 16.66
Answer= 4 hours.
The first pipe can fill one pool in nine hours. So in one hour, it can fill 1/9th of the pool. Same with the other pipe, it can fill 1/6th of the pool in other hour.
So 1/9 + 1/6 would represent the first hour of filling the pool. Since 1/9 + 1/6 = .277.. , 27% of the pool is filled. Repeat this until you get to 100% (full pool).
First hour, 1/6 + 1/9 = .27
Second hour, 2/6 + 2/9 = .5
Third hour, 3/6 + 3/9 = .83
Fourth hour, 4/6 + 4/9 = 1.11
So in 4 hours, the pool will be filled.
Answer:
Expected_A = 1.36
Expected_B = 1.54
Company A, as it has the lowest expected number of defective boards
Step-by-step explanation:
What is the expected number of defective circuit boards for company A?
To obtain this value, we multiply the probabilities of each, per the number of defective circuit boards
Expected_A = 0*(0.21) + 1*(0.3) + 2*(0.41) + 3*(0.08)
Expected_A = 1.36
What is the expected number of defective circuit boards for company B?
Expected_B = 0*(0.18) + 1*(0.32) + 2*(0.28) + 3*(0.22)
Expected_B = 1.54
Which company should be chosen for purchasing circuit boards?
Company A, as it has the lowest expected number of defective boards
D
Explanation:
a: a straight line is 180* and angle 2 and 3 does equal and equal line so that one is true.
b: same with answer a, 4 and 2 make a straight line so it would equal 180*
c: 3 and 4 are vertical angles bc they are a pair of opposite angles on intersecting lines.
d: i ruled out the answers, so D has to be the answer