Answer: 
Step-by-step explanation:
For this exercise it is important to remember the following:
1. By definition, the "Product" is the result of a multiplication.
2. The "Difference" is defined as the result of a subtraction.
3. The Distributive property states that:

Keeping the above on mind, you know that:
"The difference of
and
" can be represented with the following expression:

Therefore, "The product of -13 and the difference of
and
" can be represented with this expression:

Finally, you must apply the Distributive property in order to simplify the expression. You get:

Answer:
Gym A
Step-by-step explanation:
A linear relationship is a relationship of the form y = mx + b, where y and x are the linear variables, m is the rate of change and b is the value of y when x = 0.
Gym A:
Let x represent the month and y represent the total cost for the gym. From the table, we can represent the values in the form (x, y) as (1,70), (2, 90) and (3, 110). We can find the relationship between x and y using the formula:

Gym B:
We can represent the values from the table as (1,55), (2, 80) and (3, 105). We can find the relationship between x and y using the formula:

Hence gym A would cost less ($250 < $280)
Answer:
Answer
2x+3y=14,2x−3y=2
Adding :
2x+3y=14
2x−3y=2
__________
4x=16
x=4
∴xy=4×2
=8
2×4+3y=14
8+3y=14
3y=6
y=2
Step-by-step explanation:
here you go
Given

We have to set the restraint

because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:

The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.
Similarly, we have

So, we have to impose

Squaring both sides, we have

The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.