Answer:
Domain:![[-1,0]\cup [1,\infty )](https://tex.z-dn.net/?f=%5B-1%2C0%5D%5Ccup%20%5B1%2C%5Cinfty%20%29)
Step-by-step explanation:
Since we know that a square root function is not defined for negative numbers. In order our function to be defined values inside radical must be greater than or equal to zero.
Our function will be defined when


or 
Now we will use number line method of solving inequalities to check whether our answer is right or not.
Let us try -2, -1/2, 1/2 and 2 to check which conditions meet our criteria.






Therefore, we can see that our function is defined when
or
and domain of f(x) is
.
-4²
Any number repeatedly multiplied by itself has an exponent. so (-4)(-4) has an exponent of 2 while (-4)(-4)(-4) would have an exponent of 3 and be written as -4³.
Also extra tip: Negative numbers multiplied by a negative number will always be positive.
Answer:
1.492 kg
Step-by-step explanation: 0.5kg+0.53kg=1.03kg=1030grams
1030grams+325grams+137grams=1492 grams
1492/1000=1.492kg
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Answer:
(1/4)/(2/3) = 3/8
Step-by-step explanation:
(1/4)/(2/3) = 3/8
__
This can be confirmed by a couple of different methods of dividing fractions.
1) express using a common denominator and take the ratio of numerators.
(1/4)/(2/3) = (3/12)/(8/12) = 3/8
__
2) invert the denominator and multiply
(1/4)/(2/3) = (1/4)(3/2) = (1·3)/(4·2) = 3/8
Answer: 
Step-by-step explanation:
The figure is formed by a square, a parallelogram and a rectangle.
Then, the area of the figure will be the sum of the area of the square, the area of the parallelogram and the area of the rectangle.
The area of the square is:
The area of the parallelogram is:
The area of the rectangle is:
Therefore, the area of the figure is:
