A)Plugging in our initial statement values of y = 16 when x = 10, we get:
16 = 10k
Divide each side by 10 to solve for k:
16/10=
k = 1.6
Solve the second part of the variation equation:
Because we have found our relationship constant k = 1.6, we form our new variation equation:
y = 1.6x
Since we were given that x, we have
y = 1.6()
y = 0
B)Plugging in our initial statement values of y = 1 when x = 15, we get:
1 = 15k
Divide each side by 15 to solve for k:
1/15
=15k
k = 0.066666666666667
Answer:
Original function:
f(x) = log2(x)
Transformed function:
f(x) = -log2(x - 1) + 2
The transformation process is to take f(x)=log2(x) and shift it to the right 1 unit and shift 2 units up. Then flip it down.
A log cannot have a negative value for an argument. Set the argument greater than zero.
x - 1 > 0
x > 1
The domain is all values greater than 1.
To find the range, use the domain.
Evaluate f(1.00001), f(2) , f(200), and f(2000)
Then use those values to determine the range.
The most accurate way would be the fourth answer, because to estimate 66% of 47 you need to round both as closely as possible. 66% rounds closest to 2/3, and 47 is closest to 48
Answer:
43 miles per hour
Step-by-step explanation:
We know that in Cherokee County, the speed tickets amounts are calculated on the basis of $17 for each mile above the speed limit.
Since Kirk was fined $221, we can easily calculate the excess speed he was caught at by dividing $221 by $17/mile, which gives us 13 miles.
Since he was caught in a zone where the posted speed limit was 30, and that he exceeded it by 13 miles per hour... we know he was going at 43 miles per hour.
I hope this helps you :)
