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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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2x2 − 4x = 0<br> A. <br> 0, -4<br> B. <br> 0, -2<br> C. <br> 0, 2<br> D. <br> 2, 4
leonid [27]

Answer:

C

Step-by-step explanation:

We see that we can factor out 2x from the equation! So our equation becomes 2x(x-2) = 0.

Since the only way for things to multiply to equal to zero is if at least one of the numbers is 0.

So if x-2 is the 0, then x = 2.

If 2x is the 0, then x = 0.

So our answer is C. 0,2

5 0
3 years ago
One cup of​ grated, fresh Parmesan cheese weighs 3 ounces. How many cups of grated cheese can you expect to get from a​ 4.5-poun
Ksenya-84 [330]

Answer:

9 cups

Step-by-step explanation:

If one pound is equal to 2 cups, then you would multiply 2 by 4, which gives you 8. If one pound equals 2 cups, then half a pound equals 1 cup. So since we already have 8 cups, you just add one more cup, which gives you 9 cups total

SUMMARY: You can expect to get 9 cups of grated parmesan cheese from a 4.5-pound block.

5 0
2 years ago
Simplify the expression. 8w + 5r – t + 9r
Wittaler [7]

Answer:

14r−t+8w

Step-by-step explanation:

Let's simplify step-by-step.

8w+5r−t+9r

=8w+5r+−t+9r

Combine Like Terms:

=8w+5r+−t+9r

=(5r+9r)+(−t)+(8w)

=14r+−t+8w

Answer:

=14r−t+8w

3 0
2 years ago
What is the approximate distance between the points (-5, 1) and (-2, 3) on a coordinate grid?
kherson [118]
B. The answers B. You welcome :D

4 0
3 years ago
Read 2 more answers
What is the slope of the line that represents this relationship?
galben [10]

Answer:

undefine

Step-by-step explanation:

the slope does not show rise over run it just sgow one of them therefore it is undefine

7 0
3 years ago
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