Answer:
The independent variable is m, while the dependent variable is t.
Step-by-step explanation:
- What is the independent variable?
An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.
- What is the dependent variable?
The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.
- Write an equation representing this relationship:
t = $6 + ($1.50 x m)
- Complete the table to show the total cost for riding 3 to 10 miles:
3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)
4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)
5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)
6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)
7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)
8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)
9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)
10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)
Answer:
or 
Step-by-step explanation:
One is given the following equation:

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation. Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:



Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,


Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:
or 

or 
Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,
or 
or 
Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.
or 
or 
Answer:
2 imaginary roots
Step-by-step explanation:
The discriminate is the portion of the quadratic equation under the square root
D = b^2 - 4ac
D = 8^2 - 4(2)(16)
D = 64 - 128
D = -64
Since the discriminate is negative the square root will be imaginary
and there will be 2 of them
2 imaginary roots
Answer:
Yes
Step-by-step explanation:
Yes,the area is the space inside a shape. If we change the borders of the shape, in space in the interior will change.
The answer is the first option: Even.
The explanation for this exercise is shown below:
1. By definition, if
the fucntion is even.
2. When the graph is symmetric with respect to the y-axis, it is an even function.
3. As you you can see in the graph attached in the problem, the graph is symmetric about the y-axis. Therefore, you can conclude it is an even function.