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avanturin [10]
3 years ago
7

You might need:

Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:

The maximum possible number of mosquitoes is 25 millions

Step-by-step explanation:

Let

m(x) -----> the number of mosquitoes in Minneapolis, Minnesota (in millions of mosquitoes)

x ----> the rainfall in centimeters

we have

m(x)=-(x-5)^{2} +25

This is a quadratic equation (vertical parabola) open downward

The vertex is the maximum

we know that

The maximum possible number of mosquitoes is equal to the y-coordinate of the vertex

Find out the coordinate of the vertex

The general equation of a vertical parabola in vertex form is equal to

y=a(x-h)^{2} +k

where

a is a coefficient

(h,k) is the vertex

so

In this problem

a=-1 (open downward)

(h,k)=(5,25)

The y-coordinate is 25

therefore

The maximum possible number of mosquitoes is 25 millions

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Which of the following expressions are equivalent to 6 + (-4) - 5
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Answer:

B and C

Step-by-step explanation:

All you need to do is find the answer for all of them and see which ones match

Original:

6 + (-4) - 5

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This is the answer for the original expression, now we need to see which one is the correct match....

A. -(-6 + 4 ) - 5

2 negatives being subtracted gives you a positive

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Incorrect, so now we know its not A

B. 6 - 4 - ( -5)

Again 2 negatives give you a positive

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PEMDAS so do the parenthesis first

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2 + 5

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Incorrect so now we know its not E

The correct answer is C

Hope this helped!

Have a supercalifragilisticexpialidocious day!

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