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Nimfa-mama [501]
2 years ago
12

Will mark brainly!! :)

Mathematics
1 answer:
Nat2105 [25]2 years ago
3 0

Answer:

(2,1)

Step-by-step explanation:

The answer is (2,1)

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20-%204%20%7D%7B%20%5Csqrt%7Bx%20%7B%7D%5E%7B2%7D%20-%206x%2
Nimfa-mama [501]

First of all, we can observe that

x^2-6x+9 = (x-3)^2

So the expression becomes

\dfrac{x^2-4}{\sqrt{(x-3)^2}} = \dfrac{x^2-4}{|x-3|}

This means that the expression is defined for every x\neq 3

Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2

Since we can't accept 3 as an answer, the actual solution set is

(-\infty,-2] \cup [2,3) \cup (3,\infty)

7 0
3 years ago
Helpp,
Sergeeva-Olga [200]

Answer:

5/6

Step-by-step explanation:

1/3 + 1/2

Must have matching denominators

 1           1

----- +  -------

 3 (2)    2(3)

Whatever is done to the bottom (denominator) must be done to the top (numerator)

1(2)      1(3)

----- +  -------

 3 (2)    2(3)

2          3            5

----- +  -------  =  --------

 6         6             6

Can I name Justin's sum as a single fraction: Yes

Would it be correct to name it 2/3: No. The fraction is equal to 5/6

I hope this helps!

4 0
1 year ago
What statement is true for f(x) = 3.2^x?
goblinko [34]

Answer:

Step-by-step explanation:

7 0
2 years ago
Help me and I’ll give you brainliest
Delvig [45]

Answer:

49

Step-by-step explanation:

5 0
3 years ago
On a school trip the ratio of the number of teachers to number of students is1:15.the ratio of the number of male students to th
salantis [7]

Answer: dodo

Step-by-step explanation: fight

3 0
3 years ago
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