Answer:

Step-by-step explanation:
Find the sum

we know that

substitute

step 1
Separate the mixed number into a whole number and a fraction number

step 2
Group the whole numbers an the fraction numbers

step 3
Combine like terms

Remember that

substitute


The answer is reasonable
Because
I know that 1 3/4 < 2 and 1 5/8 < 2
so
The sum of both numbers must be less than 4
The inverse function for the given function f(x) = 4x - 2 is x/4 + 2
or, f⁻¹(x) = x/4 + 2
Given function, f(x) = 4x-8
We have to find f⁻¹(x)
f(x) = 4x - 8
or, y = 4x - 8
Interchanging the x variable with y,
x = 4y - 8
Solving y,
x = 4(y - 2)
or, x/4 = y - 2
or, y = x/4 + 2
Now, replacing y with f⁻¹(x), we get;
f⁻¹(x) = x/4 + 2
For verifying, you can use
(f · f⁻¹ )(x) = x
Therefore, the inverse function of f(x) is x/4 + 2.
To learn more about the inverse functions, visit: brainly.com/question/14965513
#SPJ9
Answer:
13 miles
Step-by-step explanation:
Write and solve an equation involving this information, using x as the distance traveled, in miles:
Cost(x) = $6.75 = $3.50 + ($0.25/mile)x
First, subtract $3.50 from both sides, obtaining: $3.25 = ($.25/mile)x.
Next, divide both sides by $0.25/mile:
$3.25
x = ------------------ = 13 miles
$0.25/mile
The length of the taxi ride was 13 miles.
Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 9 rolls, hence
.
- Of the six sides, 2 are 3 or 4, hence

The desired probability is:

In which:

Then



Then:


0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For more on the binomial distribution, you can check brainly.com/question/24863377