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1 year ago

If f(x)= 6x+7, determine the value of f(r-2)

Mathematics

1 answer:

Tanzania [10]1 year ago

5 0

The value of f(r - 2) is 6r - 5

<h3>What is a function?</h3>

Function can be defined as an expression, rule, or law that defines a relationship between one variable known as the independent variable and another called the dependent variable.

From the information given ,we have;

f(x)= 6x+7, with f ( r - 2)

From here, we have that x = r -2

Now, let's substitute x as r - 2 in the function given;

f(x) = 6x + 7

f(r - 2) = 6 ( r - 2) + 7

Expand the bracket

f(r - 2) = 6r - 12 + 7

collect like terms

f(r - 2) = 6r - 5

Thus, the value of f(r - 2) is 6r - 5

Learn more about functions here:

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2 years ago

a deli sells a sandwich spread for 6.40 per pound. how much do you have to pay for 24 ounces of the spread

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3 years ago

Read 2 more answers

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

kondor19780726 [428]

Answer:

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

Step-by-step explanation:

The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

This means that $N = 8 + 10 = 18$

We want 3 boys, so $k = 8$

The director is going to choose 8 of these kittens at random to be in the commercial.

This means that $n = 8$

What is the probability that the director chooses 3 boy kittens and 5 girl kittens?

This is P(X = 3).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 3) = h(3,18,8,8) = \frac{C_{8,3}*C_{10,5}}{C_{18,8}} = 0.323$

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

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