Answer:
(5,19) lies on the graph of the transformed function y = f(1/5x)
Step-by-step explanation:
Suppose (1,19) is on the graph of y = f (x)
the graph of the transformed function y = f(1/5x)
1/5 is multiplied with x in f(x)
1/5 is less than 1 so there will be a horizontal stretch in the graph by the factor of 1/5
To make horizontal stretch we change the point
f(x)=f(bx) then (x,y) --->( x/b,y)
We divide the x coordinate by the fraction 1/5
(1,19) ---->
So (5,19) lies on the graph of the transformed function y = f(1/5x)
Answer: Infinitely many solutions
Step-by-step explanation:
Let's take the first equation.
3y + 6x = 12
Now take common,
3( y + 2x ) = 12
So, y + 2x = 4
Lets take 2nd equation
4y + 8x = 16
Take common,
4(y + 2x) = 16
So, y + 2x = 4.
Two lines with same equation have infinitely many solutions. These two equations are the same so there are infinitely many solutions.
Answer:
Part a)
Given that
Thus the probability that a randomly selected clock lasts for at most 6 years is
Part b)
The probability that a clock lasts between 6 to 9 years equals
f(9)-f(6)
Thus probability becomes 0.818-0.75 = 0.0681
part c )
See attached figure
For shaded region of part a see attached figure