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Brums [2.3K]
3 years ago
12

In how many ways can 4 people have different birth months?

Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0

Answer:

48

12 (the number of months in a year) multiplied by 4 (the number of people)

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Hurry!
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Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

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Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(c):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


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4=\frac{3x-1}{x+4}


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4x+16=3x-1


4x-3x=-1-16

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8 0
4 years ago
What is the value of c in the equation y = 4x^2 -10x + c if the y-coordinate of the vertex is -7
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Answer: c=-\frac{3}{4}

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-7 = 4(\frac{5}{4})^2 -10(\frac{5}{4}) + c\\\\-7+\frac{25}{4}=c\\\\c=-\frac{3}{4}

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