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malfutka [58]
2 years ago
11

In farming, the relationship between precipitation during the growing season and crop yield is quadratic. The following table sh

ows the amount of rainfall (in inches) with corresponding soybean crop yields (in bushels per acre) for an agricultural region.
Rainfall Crop Yield

2.25 42.1

2.75 43.0

3.25 43.8

3.75 44.2

4.25 44.5

4.75 44.3

5.25 43.5

Use a quadratic regression calculator to write a quadratic function that provides a reasonable fit to this set of data. According to the function model, about how many bushels per acre of soybeans would you expect if there was 5 inches of rain during the growing season?


A.) 44.1 bushels per acre

B.) 45.5 bushels per acre

C.) 43.9 bushels per acre

D.) 44.5 bushels per acre
Mathematics
1 answer:
Sergeu [11.5K]2 years ago
5 0

Answer:

walks dogs for 3 hours on Saturday and 4 hours on

Sunday. She calculates her total pay to be $57.75.

Which equation could be used to check the reasonableness of her total?

Step-by-step explanation:

jol'

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What is the simplified form of the following expression?
USPshnik [31]

Option C:

$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}

Solution:

Given expression is

$\sqrt[3]{\frac{4 x}{5}}

Note: \sqrt[3]{125}=\sqrt[3]{{5^3}}  = 5

To find the correct expression for the above simplified expression.

Option A: \frac{\sqrt[3]{4 x}}{5}

5 can be written as \sqrt[3]{125}.

$\frac{\sqrt[3]{4 x}}{5}=\frac{\sqrt[3]{4 x}}{\sqrt[3]{125} }

       $=\sqrt[3]{\frac{4x}{125} }

It is not the given simplified expression.

Option B: \frac{\sqrt[3]{20 x}}{5}

$\frac{\sqrt[3]{20 x}}{5}=\frac{\sqrt[3]{20 x}}{\sqrt[3]{125} }

         $=\sqrt[3]{\frac{20x}{125} }

Cancel the common factor in both numerator and denominator.

         $=\sqrt[3]{\frac{4x}{25} }

It is not the given simplified expression.

Option C: \frac{\sqrt[3]{100 x}}{5}

$\frac{\sqrt[3]{100 x}}{5}=\frac{\sqrt[3]{100 x}}{\sqrt[3]{125} }

           $=\sqrt[3]{\frac{100x}{125} }

Cancel the common factor in both numerator and denominator.

           $=\sqrt[3]{\frac{4 x}{5}}

It is the given simplified expression.

Option D: \frac{\sqrt[3]{100 x}}{125}

$\frac{\sqrt[3]{100 x}}{125}=\frac{\sqrt[3]{100 x}}{5^3}

It is not the given simplified expression.

Hence Option C is the correct answer.

$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}

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2x + 7 - 3x ⥶ 10<br> show work
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Answer:

x ⥶ -3

Step-by-step explanation:

2x - 7 -3x ⥶ 10

-x + 7 ⥶ 10

-x ⥶10 - 7

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