Answer:
Domain = {x : x ≠ 4 , -4} or (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)
Step-by-step explanation:
<u>TO FIND :-</u>
- Domain of
<u>SOLUTION :-</u>
Domain of a function is a value for which the function is valid.
The function is valid until the denominator is 0.
So make sure that the denominator must not be 0.
Find the values of x for which the denominator becomes 0. To find it , you'll have to solve the above inequality.
We can say that <u>4 & -4 can't be domains</u> because these values will make the function undefined.
Now try putting values of x such that -4 < x < 4. You'll observe that the function will be valid for all those values of x between -4 & 4.
<u>CONCLUSION :-</u>
The function will be valid for any value of 'x' except 4 & -4. So in :-
Interval notation , it can be written as → (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)
Set builder notation , it can be written as → {x : x ≠ 4 , -4}
Answer:
the mean is 14.8, the median is 15, the mode is 15, and the range is 7
Step-by-step explanation:
11,12,15,15,16,17,18
3 and 7 have a gcf of 1
5 and 11 have a gcf of 1
17 and 23 have a gcf of 1
Answer:
The length of the rectangle will be equal to 4.5 cm
Step-by-step explanation:
in a rectangle, wide w is 2.8 cm and and length of diagonal is 5.3 cm. To find the length we will use pythagoras theorem, which is given as
+ =
where a = width w, b = length l and c = diagonal d
so we will now have + =
Then we will have
+ =
7.84 + = 28.09
= 28.09 - 7.84
= 20.25
l =
l = 4.5
Therefore, the length of the rectangle is 4.5 cm
Answer:
A an increase in m cause n to increase
Step-by-step explanation:
a positive correlation means they will travel in the same direction when one is affected.