Answer:
f^-1(x) = 1/5x + 1/5
Step-by-step explanation:
Switch the x and y values:
y = 5x - 1
x = 5y - 1
Put the equation back into y = form:
x = 5y - 1
x + 1 = 5y
1/5x + 1/5 = y
y = 1/5x + 1/5
f^-1(x) = 1/5x + 1/5
Answer: The are 39,070,080 different ways the DJ can play the first 6 songs.
We will use the Fundamental Counting Principle to find the answer. Simply determine the number of choices for each position and multiply.
For the first choice there are 21 choices. Then, the number is reduced by 1 each time.
So to get the answer, we have to multiply the numbers below:
21 x 20 x 19 x 18 x 17 x 16
Answer:
$116.53
Step-by-step explanation:
Bryan earn's 11.80 per hour. He is paid time and a half for hours worked over 8hrs in a day. So if you divide 11.80 by 2, you get 5.90.
11.80+5.90=17.70. This is the amount he gets paid if he works overtime.
If Bryan worked 9.25 hrs yesterday, we already know that he made $94.40 in 8 hours. We have to find the amount he got paid for working over time.
The remaining hours are 1.25. We can add $17.70 to 94.40 to get 112.10. Now we have to figure out the remainder which is a quarter of an hour. Multiply 17.70 by .25 and you will get 4.43.
The total amount he got paid for working over time was $116.53.
Answer: The depth was 42 feet below see level after 6 minutes
Step-by-step explanation:
If m represents the minutes then input 6 for m into the expression and solve.
-120 + 13(6)
-120 + 78 = -42
Answer:
Step-by-step explanation:
0.75s-5/8s=44
Convert 0.75 to a fraction and then reduce
3/4s-5/s=44
Multiply both sides by 8
8(3/4s-5/8s)=8*44
Distribute 8 through the parenthesis
8*3/4s-8*5/8s=8*44
8*44= 352
Reduce the numbers with the greatest common divisor 4
2*3s-8*5/8s=352
Reduce the numbers with the greatest common divisor 8
2*3s-5s=352
Calculate the product
6s-5s=352
Collect like terms
s=352
