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.
2:10 is equivalent. To get the answer you multiply 1 & 2 by their LCM (least common multiple) , which is 2, and that's how you get the answer, and to check to see if it's right just divide by 2 but if you know multiples of 1 and 5 then you could've easily looked at the answer choices to find your answer.
hopefully this helps
Answer:
75.39 in^2
Step-by-step explanation:
circumference=2πr
30.8=2(3.14)r
30.8=6.28r
4.9=r
Now that we know the radius, we can plug it in for the area equation
area=πr^2
area=(3.14)(4.9)^2
area=(3.14)(24.01)
area=75.39 in^2
Answer:
a) The total weight of fruits is 
kilograms, b) The weight of the fruits left is 
kilograms.
Step-by-step explanation:
a) The total weight of fruits (
) is calculated by the following formula:
Where:
- Total weight of apples, measured in kilograms.
- Total weight of mangoes, measured in kilograms.
- Total weight of oranges, measured in kilograms.
If 
, 
and 
, then:
The total weight of fruits is kilograms.
b) The weight eaten by her family is determined by the following expression:
Where:
- Eaten weight of apples, measured in kilograms.
- Eaten weight of mangoes, measured in kilograms.
- Eaten weight of oranges, measured in kilograms.
Given that 
, 
and 
, the weight eaten by her family is:
The weight of the fruits left is found by subtraction:
The weight of the fruits left is kilograms.
Answer:
x=2, y=1
Step-by-step explanation:
13x-12y=14
11x-4=18y or 11x-18y=4
13x-12y=14 /*3
11x-18y=4 /*(-2) then
39x - 36y=42 (1)
-22x+36y=-8 (2)
(1)+(2) 17x=34
-22x+36y=-8
x=34/17
-22x+36y=-8
x=2
-22*2+36y=-8
x=2
-44+36y=-8
x=2
36y=-8+44
x=2
36y=36
x=2
y=36/36
x=2
y=1
