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Anna [14]
3 years ago
6

On a map, 12 inch represents 45 mile.

Mathematics
2 answers:
lozanna [386]3 years ago
5 0
Hello,


So 45 divided by 12 would get you 3.75. If I were to convert this in a mixed number, I would get me 2 1/2. So your answer is D


Hope this helps.



Ronch [10]3 years ago
3 0

​ 5/8 ​ in.

i just took a test.

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The parabola with equation $y=ax^2+bx+c$ is graphed below:
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Answer:

m-n=2

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

f(x)=a(x-h)^2+k

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Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

f(x)=a(x-2)^2-4

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We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

12=a((4)-2)^2-4

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12=a(2)^2-4

Add 4 to both sides:

16=a(2)^2

Square:

16=4a

Solve:

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Thererfore, the value of a is 4.

So, our function is:

f(x)=4(x-2)^2-4

Now, let’s find our roots. Set the equation to 0 and solve for x:

0=4(x-2)^2-4

4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

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Step-by-step explanation:

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