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sveticcg [70]
3 years ago
12

WORTH LOT OF POINTS DONT PLAGERIZE NO FAKE ANSWERS WILLL REPORT::::: Mindy understands how to tell if ordered pairs are function

s but does not remember how to determine if a graph is a function. What test could she use and how does it work? (also include definition of functions)
Mathematics
1 answer:
Rashid [163]3 years ago
4 0

Answer:

The vertical line test

Step-by-step explanation:

Basically, draw vertical lines over the function.

If each value of x has a different y-value, then it is a function.  

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Rationalise the denominator of (12)/(\sqrt(10)+\sqrt(7)+\sqrt(3))
jasenka [17]

Answer:

\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210}  }{21 }

Step-by-step explanation:

\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }

=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right)  \right)  }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}

=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}

\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{10-(10+2\sqrt{21} )} }

=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{-2\sqrt{21} }

=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{\sqrt{21} }

=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }

=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{21 }

=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63}  }{21 }

=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210}  }{21 }

<u><em>Remark</em></u>:

You can simplify moreover if you want to.

5 0
2 years ago
Bob had 3 buckets with 7 oranges each ; he also had 3 watermelons and 5 bananas. How many fruits did Bod have in total?
makvit [3.9K]
Answer:

Bob has 29 fruits

Explanations:

Bob had 3 buckets with 7 oranges each. That is,

number of oranges in 1 bucket = 7

number of oranges in 3 buckets = 3 x 7

number of oranges in the 3 buckets = 21 oranges

Number of watermelons that Bob has = 3

Number of Bananas that Bob has = 5

Total number of fruits that Bob has = (number of oranges) + (number of water melon) + (number of bananas)

Total number of fruits that Bob has = 21 + 3 + 5

Total number of fruits that Bob has = 29

3 0
1 year ago
Rename the number 4 thousand 7 hundreds
Brrunno [24]
The number would be written numerically like so:

4,700
4 0
3 years ago
Read 2 more answers
What is 500 dollars at 4% for 3 years
worty [1.4K]
500 +  (\frac{100 + 4}{100})^{3} = $<span>562.432.
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original amount + ((100 + percentage) / 100)^number of years
7 0
3 years ago
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umka21 [38]

Answer:

Step-by-step explanation:

It is given that the regression equation

y = 16.99 + 0.32 x_1 + 0.41 x_2 + 5.31 x_3

predicts an adult’s height (y) given the individual’s mother’s height (x1), his or her father’s height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0).

The coefficient of x1 = 0.32 represents the increase in height of the child due to one inch increase in mother.

Similarly coefficient of x2 = 0.42 represents the increase in height of the child due to one inch increase in father.

and coefficient of x3 = 5.31 represents the increase in height of the child due to being a male than a female.

8 0
3 years ago
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