The slope of the line in the provided equation represents the cost of each music lesson, while the y-intercept represents the registration fee. These two components are used to calculate the total cost of taking 'x' number of music lessons. Examples of four points on this line include: (0,30), (1,70), (2,110) and (3,150).
In the equation y = 40x + 30, 'y' represents the total cost of music lessons, 'x' represents the number of lessons, 40 is the slope, and 30 is the y-intercept.
The slope, 40, means that each music lesson costs $40. This is a constant rate and doesn't change no matter how many lessons a student takes.
The y-intercept, 30, represents the registration fee that is charged in addition to the cost per lesson. This is a one-time fee that's added to the total cost of the lessons.
For example, four points on the line could be (0,30) when no classes are taken, (1,70) for one class, (2,110) for two classes, and (3,150) for three classes.
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4a²(a³)/16b ( b²)
4a⁶/16b³
= a⁶/4b³
10
20
22
32
Answer:
C. 22
Step-by-step explanation:
Inverse Alternate Interior Angles Theorem sttes that if two lines a and b are cut by transversal f so that the alternate interior angles are congruent, then a║b.
To prove that lines a and b are parallel, equate the measures of angles 96° and (6x-36)°:
Answer:
Option C.
Step-by-step explanation:
It is given that lines a and b are cut by transversal f.
If a transversal line intersect two parallel lines, then the alternate exterior angles are same.
We need to find the value of x so that lines a and b are parallel lines cut by transversal f.
So, equate both alternate exterior angles.
Add 36 on both sides.
Divide both sides by 6.
The value of x is 22. Therefore, the correct option is C.