All categories

3 years ago

If h(x) = 6 - X, what is the value of (h*h)(10)?

Mathematics

1 answer:

Vikentia [17]3 years ago

5 0

The value of $\bold{ h(h(10))=10}$

<u>Solution:</u>

Given: $h(x) = 6 - x$

To find: The value of (h*h)(10)

We know that, $(h*h)(x)=h(h(x))$

which is,

$\Rightarrow h(h(x))=6-(6-x)=x$

On solving we get,

$\Rightarrow6-6+x=x$

So, for x = 10 it will be,

$h(h(10))=10$

Hence, the required value is 10.

You might be interested in

Apply each of the four counting/sampling methods (with replacement and with ordering, without replacement and with ordering, wit

dusya [7]

Answer:

Step-by-step explanation:

I will illustrate this solution with a unique birthday party situation between Jane (the celebrant) and her 10 friends.

In the said party , we will assume that Jane only has 5 chocolates to share among her friends

i. Assuming that the 5 chocolates are of the same type, if she doesn't want to give any friend more than one piece of chocolate, the situation here is said to be WITHOUT REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

$(\left {n} \atop {k}} \right. )=(\left {10} \atop {5}} \right. )=252$

ii. Assuming that the 5 pieces of chocolate are of the same type and she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

$(\left {n+k-1} \atop {k}} \right. )=(\left {14} \atop {5}} \right. )=2002$

iii. Assuming that the 5 pieces of chocolate are of different types and she isn't willing to give any friend more than one piece of chocolate, the situation is said to be WITHOUT REPLACEMENT & ORDERED

n = 10 & k = 5

Total number of possible combinations becomes,

$P\left {n} \atop {k}} \right=P\left {10} \atop {5}} \right. =30240$

iv. Assuming the the 5 pieces of chocolate are of different types, if she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & ORDERED

n = 10 AND k = 5

Total number of combinations becomes

$n^k=10^5=100,000$

Sampling with replacement means that one friend can be sampled more than once i.e: A friend receives a piece of chocolate more than once

The order dictates how the sampling is applied.

3 0

3 years ago

The number of board feet in a 16 foot long tree is approximated by the model F(d) = 0.77d^2 -- 1.32d -- 9.31 where F is the numb

Lubov Fominskaja [6]

we are given

$F(d)=0.77d^2-1.32d-9.31$

where

F is the number of board feet

d is the diameter (in inches) of the log

Since, we have to minimize F

so, firstly we will find it's derivative

$F'(d)=0.77\times 2d-1.32\times 1-0$

$F'(d)=1.54d-1.32$

now, we can set it to 0

and then we can solve for d

$F'(d)=1.54d-1.32=0$

$1.54d-1.32=0$

so, we get diameter as

$d=\frac{6}{7}inch$ ..............Answer

6 0

3 years ago

C) 40.3, 32.7, 40.29, 43.43,<br>32.23 In Decreasing order please

iogann1982 [59]

Answer:

32.7, 40.29, 40.3, 43.43

Step-by-step explanation:

Hope this helps =)

Correct me if I am wrong

5 0

3 years ago

What would be the total number of outcomes in each sample space?

Lerok [7]

Answer:

810

Step-by-step explanation:

In this case the sample space would be the number of combinations that can be made with the numbers from 1 to 30 with the letters of the alphabet, from "a" to "z", for example:

A1, A22, C4, F9, etc

Now we know how many numbers are 30, now the alphabet has 27 letters, therefore, the number of combinations are:

27 * 30 = 810

Which means that the total number of results is 810.

3 0

3 years ago

PLEASE PLEASE PLEASE HELP

bekas [8.4K]

Answer:

its the last choice

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers