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Allushta [10]
3 years ago
11

I need help on this problem. It is about absolute values, so here is the question:

Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0
|x-4|=1

|x-4|-1=0 absolute values have 2 equations in them

x+4-1=0, x=3

x-4-1=0, x=5
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Read 2 more answers
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NARA [144]

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

We may simplify this equation but that is not compulsory.

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


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


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


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

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3 years ago
Kenny likes to count his money by tiling it on his table as shown. The diameter of a quarter is 24.26 mm. Find the area of the t
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First we have to assume that each quarter touched each other. Hence the area of the table not covered by the coins (A) is equal to the total area of the table (At) minus the total area of the coins (Ac). Coins are circle, so A =  \pi  r^{2} and r =24.26mm. The area of one coin is then 1848.98mm^2. Hence the equation is A = At - xAc where x is the number of coins. 
5 0
3 years ago
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