What is the 100th term of the sequence 2, 3, 5, 6, 7, 10, 11, ... which consists of all of the positive integers that are neithe
2 answers:
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Answer:
C. Yes, 3.5.
Step-by-step explanation:
If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality () is described by the following expression:
(1)
Where:
- Input.
- Output.
If we know that ,
and
, then the constants of proportionalities of each ordered pair are, respectively:
Since , the constant of proportionality is 3.5.
Answer:
Step-by-step explanation:
The point-slope form of a line is given by:
Where
(x_1,y_1) is the coordinate pair (any of the points given)
m is the slope. The ratio of change in y coordinates by x coordinates
Let's calculate the slope:
Now, it is given "y - 4", so y_1 is 4, so they are using the coordinate pair (7,4). So we can say x_1 = 7
Now we have all the values, lets write the equation:
This is the point-slope form.
After 4 interval of six months, Joe to earn same hourly rate as Blaine
<em><u>Solution:</u></em>
Given that,
Amount earned by Joe = $ 14 per hour
Amount earned by Blaine = $ 18 per hour
Lets assume the number of six month intervals be "x"
<em><u>Joe receives a raise of $1.75 every six months</u></em>
Therefore,
Joe earning: 14 + 1.75(number of six month intervals)
Equation for Joe earning: 14 + 1.75x ------- eqn 1
<em><u>Blaine receives a raise of $0.75 every six months</u></em>
Therefore,
Blaine earning: 18 + 0.75(number of six month intervals)
Equation for Blaine earning: 18 + 0.75x ------------ eqn 2
The number of six-month intervals it will take Joe to earn the same hourly rate as Blaine,
Eqn 1 must be equal to eqn 2
Thus after 4 interval of six months, Joe to earn same hourly rate as Blaine.