Answer: The second option and the third option are true.
Step-by-step explanation:
The formula of the line in slope-intercept form is:

Where <em>m </em>is the slope and <em>b </em>is the y-intercept.
By definition, the y-intercept in a direct variation is 0.
Therefore, substituting
and
into the equation, you obtain:

Then, the equation is:

As this is a line, it is a linear function.
Therefore, the second option and the third option are true.
Answer:
2x - 6 = 4
Step-by-step explanation:
Firstly, let's assume the number is x
Then, twice the number is 2 times x = 2x
6 less than twice the number is four
2x - 6 = 4
2x - 6 + 6 = 4 + 6
2x = 10
2x/2 = 10/2
x = 5
Answer:
n = 4
Step-by-step explanation:
Given
10n + 2 = 7n + 14
Collect terms in n on the left side and numbers on the right side
Subtract 7n from both sides
3n + 2 = 14 ( subtract 2 from both sides )
3n = 12 ( divide both sides by 3 )
n = 4
Answer:
half hour
Step-by-step explanation:
Do 1 fourth times two
Answer:
91 possible outcomes
Step-by-step explanation:
As the teacher selects a brunette followed by a blonde, we just need to find the number of possibilities of choosing a brunnette and the number of possibilities of choosing a blonde:
number of possibilities of choosing a brunette: 13
number of possibilities of choosing a blonde: 7
Then, the number of possible outcomes is the product of these number of possibilities:
13 * 7 = 91 possible outcomes