Answer: Yes, she will have enough trim for all four sides of the square, because the perimeter of the square photo (30.98 inches) is less than 32 inches of trim she has.
Step-by-step explanation:
The formula for calculate the area of a square is:

Where "s" is the lenght of any side of the square.
The formula for calculate the perimeter of a square is:

Where "s" is the lenght of any side of the square.
We know that that the area of the photo is 60 square inches, therefore, we can solve for "s" from the formula
and find its value:

Substituting the value of "s" into the formula
, we get that the perimeter of the photo is:

Therefore, since Alicia has 32 inches of trim and
, we can conclude that she will have enough trim for all four sides of the square.
Answer:
see the explanation
Step-by-step explanation:
we have

we know that
The radicand of the function cannot be a negative number
so

Solve for x
Multiply by -1 both sides

The domain of the function f(x) is the interval -----> (-∞, 0]
The domain is all real numbers less than or equal to zero
The range of the function f(x) is the interval ----> [0,∞)
The range is all real numbers greater than or equal to zero
<em>Example</em>
For x=144
----> is not true
This value of x not satisfy the domain
substitute
----> this value is undefined
For x=-144
----> is true
This value of x satisfy the domain
substitute
----> this value is defined
therefore
The function will be undefined for all those values of x that do not belong to the interval of the domain of the function
P(x) = x^2 - 1
q(x) = 5(x - 1)
(p - q)(x) = (x^2 - 1) - 5(x - 1)