Solve for x.
(3x+1)2-100=0
(3x+1)2=100
3x+1=100/2
3x=50-1
x=49/3
x=16.33333
Hope that helps. If you have any other questions feel free to ask me
Translation of 7 units to the right ⇒ subtract 7 units to the argument ⇒ f(x-7)
Translation of 5 units up ⇒ add 5 units to the function ⇒ f(x) + 5
g(x) = f (x-7) + 5 = (x-7)^2 + 5
The subtraction of 7 units to the argument of the function (this is x) translates the function 7 units to the right.
Adding 5 units to the function f, translates the graph 5 units up.
216 =6^3
1,296 = 6^4
7,776 = 6^5
x = 6^f(x)
log x = log 6^f(x) = f(x)log 6
f(x) = log x / log 6 =
Answer:
P = 0.300 or 30%
Step-by-step explanation:
There are two possibilities for a player to test positive:
1-) He does not take steroids (95%) with a 12% chance of testing positive:
P= 0.95 x 0.12
2-) He does take steroids (5%) with a 98% chance of testing positive:
P= 0.05 x 0.98
So the probability that a player tests positive is:
P = 0.95 x 0.12 + 0.05 x 0.98 =0.163
Therefore, the probability that a soccer player who tests positive takes steroids is:

Answer:
Step-by-step explanation:
Let x represents the amount that the customer pays per hour
for renting the vacuum cleaner before returning it.
Let y represent the flat rate that the store charges a customer for renting the vacuum cleaner.
Let F represent thea amount that the store charges a customer for renting the vacuum cleaner for x hours.
A linear function F for the total retail cost of a vacuum cleaner would be
F(x) = x + y
If the customer rents it for n hours, the total amount becomes
F(x) = nx + y