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andreev551
3 days ago
13

If f(x) and f–1(x) are inverse functions of each other and f(x)=2x+5, what is f–1(8)?

Mathematics
2 answers:
babunello [8.4K]3 days ago
6 0
To determine the inverse of f(x)=2x+5, first express it without using f(x). Set y = 2x + 5, then exchange x and y and solve for y. Subtract 5 from both sides to get x - 5 = 2y, and divide through by 2 to find y = (x-5)/2. Therefore, f-1(x) is (x-5)/2. To find f-1(8), substitute 8 for x, resulting in (8-5)/2 = 3/2.
Zina [9.1K]3 days ago
4 0
The answer is 3/2.
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Ivan and Tanya share £150 in the ratio 4:1 how much more Ivan has then tanya
Zina [9171]

Hello!

--------------------------------------------------------

Solution:

The ratio is expressed as 4 to 1.

Add these parts together.

4 + 1 equals 5.

Now divide.

150 divided by 5 results in 30.

Next, multiply to find Ivan's share.

30 multiplied by 4 gives us 120.

30 multiplied by 1 equals 30 for Tanya.

Verify.

120 plus 30 totals 150.

Then subtract.

120 minus 30 equals 90.

--------------------------------------------------------

Answer:

Ivan possesses £90 more than Tanya!

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I hope this has been helpful! Best of luck!

3 0
21 day ago
Read 2 more answers
On an algebra test, the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138. Find the lo
Inessa [9000]


you can set this up with the equation;

x + (x + 42) = 138

start by combining like terms;

2x = 138 - 42

2x = 96

x = 96/2

x = 48

we've found x now plug it back into the original equation.

48 + (48 + 42) = 138

48 + 90 = 138

hope it helped...if you have any concerns just let me know:) 

3 0
14 days ago
Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her b
Leona [9271]
The formula for distance in this scenario is:
d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2
Rewriting gives us:
d ^ 2 = (18) ^ 2 + (12) ^ 2
d ^ 2 = 324 + 144
d ^ 2 = 468
d = √(468)
d = 21.63 Km
Answer:
1) She failed to calculate the total distance each had covered in 1.5 hours.
2) She should have applied 12 km for Joseph's distance and 18 km for Isabelle's distance.
8 0
4 days ago
Read 2 more answers
The time it takes a printer to print a job is an Exponential random variable with the expectation of 12 seconds. You send a job
Leona [9271]

Answer:

0.8753

Step-by-step explanation:

Determine the likelihood that your job will complete before 10:01 am.

In this scenario, the expected value of an Exponential distribution is E(X)=12.

To find the probability for the third job, we apply the Poisson Distribution with a parameter of 1/λ.

This gives us E(Y) =1/12.

Since the third job is expected to be ready by 10:01 AM, we have E(Y)=61/12.

Hence, the probability sought is

P(X\geq 3)=1-P(X

=1- POISSON(3,5,true)

=1-0.1246

=0.8753

8 0
17 days ago
The length of a Train A is 480 m and it takes 2 minutes to cross a tunnel of length 1,320 m. The length of a Train B, which is s
lawyer [9240]
52.94
4 0
2 days ago
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