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jolli1 [7]
3 years ago
8

A farmer is tracking the number of soybeans his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 100 mo

dels the crops in pounds per acre over x years. Find and interpret the average rate of change from year 10 to year 20.
Mathematics
1 answer:
labwork [276]3 years ago
3 0

Answer:

The farmer should expect to LOSE 10 pounds of soybeans per acre per year

Step-by-step explanation:

f(x)=-x^2 + 20x + 100

just find how many soybeans his land will yield (per acre) after 10 and 20 years:

After 10: 200 pounds of soybeans/acre

After 20: 100 pounds of soybeans/acre

Because 10 years have passed and they lost 100 pounds of soybean production per acre, the farmer should expect to lose 10 pounds of soybeans per acre per year (-10 pounds of soybeans per acre/year)

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23/50 of Zanders friends prefer to stay home on Friday night what percent of Xander's friends prefer to stay home on Friday nigh
koban [17]

Answer:

46%  of Xander's friends prefer to stay home on Friday nights.

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

\frac{23}{50}\ of\ Zanders\ friends\ prefer\ to\ stay\ home\ on\ Friday\ night.

i.e

Zanders friends prefer to stay home on Friday night = 23

Total numbers of Zanders friends are 50.

Part value = 23

Total value = 50

Put in the formula

Percentage = \frac{23\times 100}{50}

Percentage = \frac{2300}{50}

Percentage = 46%

Therefore 46%  of Xander's friends prefer to stay home on Friday nights.

3 0
3 years ago
Someone plz help me giving brainliest!
Arada [10]

Answer:

the estimate is : 39 7/32

the answer is :   46  9/35

4 0
2 years ago
Help me with this, find the area of the triangle
mamaluj [8]

Answer: 35

Step-by-step explanation:

4 0
2 years ago
The equation y=750x represents the number of dollars y Olivia earns in x weeks. Determine if there is a constant of variation. I
Klio2033 [76]

Answer:

<h3>There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>

Step-by-step explanation:

Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.

In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.

For example if y is directly proportional to x, it is written mathematically as shown;

y\alpha x

y=kx\\

k = y/x

where k is the constant of proportionality.

comparing the general expression above with the equation in question,

y = 750x

k = 750

Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.

5 0
3 years ago
the students at middle school painted a mural 25 feet long, the height 3/10 wasof the length. how high was the mural?
balu736 [363]
25/10=2.5
2.5x3=7.5
The mural was 7.5 ft long.
3 0
3 years ago
Read 2 more answers
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