Answer:
Part 1)
----->
Part 2)
----> 
Part 3)
----> All real numbers
Part 4)
----> 
Step-by-step explanation:
we know that
The domain of a function is the set of all possible values of x
Part 1) we have

we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=0 the function is not defined
therefore
The domain is

Part 2) we have

we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=-4 the function is not defined
therefore
The domain is

Part 3) we have

Applying the distributive property

This is a vertical parabola open upward
The function is defined by all the values of x
therefore
The domain is all real numbers
Part 4) we have

we know that
In a quotient the denominator cannot be equal to zero
so
Equate the denominator to zero

Remember that

(
The solution is x=-4
so
For the value of x=-4 the function is not defined
therefore
The domain is

Answer:
16t + 14J
Step-by-step explanation:
1) First, you have to multiply the numbers
New Expression: 10t + 2J + 6t + 12J
2) Now, you have to find the like terms and add them together
New Expression: 16t + 14J
Hope this helps!
Answer:

Step-by-step explanation:
I attached an image to aid the understanding of the question.
Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

It remains the area of the shaded square with side S.
From the question, we have the following ratio:
I did not add ± because length is always positive, so the case of negative is eliminated.
Now the areas of S is 
Therefore, the total area of the shaded squares is

Answer:
Step-by-step explanation:
Order is impotant since you could easily make a positve number negative and vice versa. You switch the order of 5 subtracted by y to y-5.