Answer:
Find the answers in the explanation
Step-by-step explanation:
The given function is
f(x)=475-15x
A.) To find f^-1 and explain what it represents in this situacions, let f(x) = y. That is,
Y = 475 - 15x
Interchange y and x and make y the subject of formula
X = 475 - 15y
-15y = x - 475
Y = 475/15 - x/15
Y = (475 - x) / 15
Therefore,
f^-1(x) = (475 - x) / 15
If the function depreciates the smartphone, then, the inverse function will appreciate it.
When will the deprecated value of smart phone be less than $100.00
Substitute 100 for f(x) and find x
100 = 475 - 15x
-15x = 100 - 475
-15x = - 375
X = 375/15
X = 25
Therefore, the deprecated value of smart phone be less than $100.00 in the next 26 months.
what does x represent in f^-1(x) =30?
X represent the number of months for the smartphone appreciations
What is the value of x?
Substitute the inverse function for 30 and make x the subject of formula in the equation
f^-1(x) = (475 - x) / 15
30 = (475 - x) / 15
Cross multiply
450 = 475 - x
X = 475 - 450
X = 25 months
Graph f(x) and f^-1 (x) on the same coordinate
Answer:
(x+1)^2+(y+1)^2=13
Step-by-step explanation:
Equation of a circle: (x – h)^2 + (y – k)^2 = r^2
center: (-1, -1)
radius: sqrt(6^2+4^2)/2=sqrt(52)/2=2sqrt(13)/2=sqrt(13)
Substitute those values in to get
(x+1)^2+(y+1)^2=13
Answer:
The size of the scale model is 60 centimeters.
Step-by-step explanation:
Given that the length of a boat is 10.8 m, and Boris buys a scale model of the boat whose ratio is 1 to 18, to determine the length of the scale model of the boat in centimeters the following calculation must be performed:
1m = 100cm
10.8 m = (10.8 x 100) = 1080 cm
1080/18 = X
60 = X
Therefore, the size of the scale model is 60 centimeters.
Answer:
No
Step-by-step explanation:
Explanation 1)A vertical line can be represented by the equation x=a, where a can be any number. If you think about it, there is no y in the function, this making it not a function.
Explanation 2) For a line to be a function it has to pass the vertical line test, so you will draw a vertical line through the function and if it touches more than one point then it is not a function. In this case if you draw a vertical line through a vertical line there are an infinite number of places where the lines intercept, so it is not a function.
