Answer: a. c = 30 + 45h
b. $322.50
Step-by-step explanation:
A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours.
This will be calculated as:
c = 30 + 45h
B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job?
Using the expression,
c = 30 + 45h
c = 30 + 45(6 1/2)
c = 30 + 292 1/2
c = 322.50
Therefore, Juan will pay $322.50
Given:
The equation of a line is
A perpendicular line on the given line passes through the point (4,-6).
To find:
The equation of the perpendicular line.
Solution:
We have,
On comparing this equation with slope intercept form 
, we get
So, the slope of the given line is -4.
We know that the product of slopes of two perpendicular lines is always -1.
The slope of the required line is 
and it passes through the point (4,-6). So, the equation of the line is
Therefore, the correct option is B.
Answer:
Option A: f(x) = log_0.98 (n/74)
Step-by-step explanation:
We are told that that the number of species is decreasing by 2% per year.
Thus, number of species each year is 98% or 0.98 of number of species the previous year. .
We are told that there are currently 74 species of amphibians in the rain forest.
Thus, n/74 will represent a fraction of the current number of species.
Thus, the logarithmic function that models the time can be written as;
f(x) = log_0.98 (n/74)
D
Using long division - x+4 goes into 3x^2 3x times, draw the line and change the sign, drop the -4. -x-4 goes into x+4 -1 times, so 3x-1 is the answer.
