Linear. Each increase of 1 in x means a decrease of 3 in y, so it has a consistent slope of -3
Domain: (-6, 0, 3) Range: (-9, -7, 3, 5)
Answer:
We are given an expression and we have to transform it into an expression with exponent.
5th root of x can be written as
The powers outside will be multiplied as:
where the exponent is and it is a rational number by definition of rational numbers
Step-by-step explanation:
Answer:
(a) The temperature at a specific location as a function of time.
This is a continuous function as the temperature cannot increase in an instant like time.
(b) The temperature at a specific time as a function of the distance due west from New York City.
This is a continuous function as the temperature in one location is affected by its neighboring places.
(c) The altitude above sea level as a function of the distance due west from New York City.
The altitude above sea level can be discontinuous at a cliff, or continuous at very deep hole.
(d) The cost of a taxi ride as a function of the distance traveled.
This is a discontinuous function as the cost still raises if you make a stop.
(e) The current in the circuit for the lights in a room as a function of time.
This is a discontinuous function as the function takes the value of 0 when the switch is off and 1 when the switch is on.
The electron traveling speed makes this discontinuous.
Given :
The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.
Guitar lessons have a one-time fee of $36 plus $8 for each lesson.
To Find :
After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.
Solution :
Mathematical expression of piano lesson :
Mathematical expression of guitar lesson :
( Here, x and y are number of lessons )
Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.
Now, given constraint :
Hence, this is the required solution.
