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lakkis [162]
1 year ago
10

Please help I don’t know if I’m doing this correctly

Mathematics
1 answer:
solmaris [256]1 year ago
7 0

Answers:

  1. Exponential and increasing
  2. Exponential and decreasing
  3. Linear and decreasing
  4. Linear and increasing
  5. Exponential and increasing

=========================================================

Explanation:

Problems 1, 2, and 5 are exponential functions of the form y = a(b)^x 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.

---------------------

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.

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3 years ago
4x^2-20=5 solve by using the square root property
riadik2000 [5.3K]

Step-by-step explanation:

4x^2 - 20 = 5

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3 years ago
During the summer you want to read at least 32 books. You have read 21 books so far this summer . What are the possible nurabers
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Answer:

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Step-by-step explanation:

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2 years ago
An oval track is made by erecting semicircles on each end of a 60m by 120m rectangle. Find the length of the track and the area
vodomira [7]
Refer to the figure shown below.

Because the question states that the semi circles are at the ends of the rectangle, each semicircle has a radius of 30 m.

The circumference of the oval is
2π(30) + 2*120 = 60π + 240 m = 428.5 m

The area of the oval is 
π(30²) + 60*120 = 900π + 7200 m² = 1.0027 x 10⁴ m²

Note:
If the semi circles are placed on the 120-m sides of the rectangle, then similar calculations yield:
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Answer:
If the semi circles are placed on the 60-m sides of the rectangle, then
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Area = 900π + 7200 m², or 1.0027 x 10⁴ m²

if the semi circles are placed on the 120-m sides of the rectangle, then
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Area = 3600π + 7500 m², or 1.851 x 10⁴ m²


3 0
3 years ago
A group of students are selling homemade oatmeal cookies at $3 dollars per bag. The students spent $23 on all the supplies to ma
GrogVix [38]

Answer:

A. 3 x W - 23

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Profit is equal to money made minus costs

Let P equal profit.  We know the costs were 23, and they made 3 dollars per cookie.  If they sold W bags of cookies, the money made is 3*W

P = 3*W - 23

4 0
3 years ago
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