All categories

1 year ago

4+xThe function g is defined by g(x) =5 + 3xFind g(5n).

Mathematics

1 answer:

Nikolay [14]1 year ago

8 0

The function g is defined by:

g(x) = (4 + x) / (5 + 3x) ...(1)

Now, we need to find g(5n); that is, we make: x = 5n

Replacing this into equation (1):

g(5n) = (4 + 5n) / (5 + 3*(5n)) = (4 + 5n) / (5 + 15n)

So, the final answer is:

g(5n) = (4 + 5n) / (5 + 15n)

You might be interested in

A fair die is rolled nine times. What is the probability that

Lisa [10]

Answer:

The answer is 46/512 = 0.08984375

Step-by-step explanation:

In this question, success means to get an odd number on rolling a die.

The probability of success p = 3/6 = 1/2

So p = 1/2

Now lets find probability of failure q

q = 1 - p = 1 - 1/2 = 1/2

So q = 1/2

Let X = x denotes the number of success in n trials.

So X is a Binomial Random Variable

Which has the following parameters:

n = 9

as the fair die is rolled nine times and

p = 1/2

Now the Probability of x success out of n trials P( X = x) is:

P(X = x) = p(x) = nCx pˣ , qⁿ⁻ˣ , x= 0,1,2,...,9

P(X = x) = p(x) = nCx (1/2)⁹ = ₉Cₓ (1/2)⁹ = ₉Cₓ /512

Since the required probability is P (X < 3) So

P(X < 3) = P(X = 0) + P( X = 1) + P(X = 2)

= 1 / 512 {₉C₀ + ₉C₁ + ₉C₂} nCr = n! / r! * (n - r)!

= 1 / 512{ (9! / 0! * (9 - 0)!) + (9! / 1! * (9 - 1)!) + (9! / 2! * (9 - 2)!) }

= 1 / 512 { 1 + 9 + 36 }

= 46 / 512 = 0.08984375

So the required probability is 46/512

5 0

2 years ago

Find the prime factors of 60 by dividing by prime numbers.

Mars2501 [29]

Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

which is the same as saying

7 0

2 years ago

Tres hermanos van a repartirse un pastel y medio, cuanto le toco de pastel a cada uno de los hermnos

Anna71 [15]

Answer:

medio pastel cada uno

Step-by-step explanation:

Hay 3 hermanos, si decimos que un pastel entero tiene 6 pedazos entonces su fraccion seria 6/6. Si dividimos este pastel entre los tres hermanos cada uno tendria...

$\frac{6 / 3}{6}$ = $\frac{2}{6}$

Medio pastel seria la mitad de 6/6 que seria 3/6. Si dividimos esto entre los 3 hermanos cada uno tendria...

$\frac{3 / 3}{6} = \frac{1}{6}$

Ahora que dividimos los 2 pasteles tenemos que unir las fracciones para saber cuanto pastel le toco a cada hermano...

$\frac{2}{6} + \frac{1}{6} = \frac{3}{6}$ o medio pastel cada uno

8 0

2 years ago

The ___________________________ of an object is how heavy the object is

matrenka [14]

Answer:

Mass

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Choose the problem that has the same answer as 6 × 2 × 3.

11Alexandr11 [23.1K]

Answer:

6x3x2

Step-by-step explanation:

8 0

2 years ago