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3 years ago

Let f(x) = 3x - 6 and g(x) = x - 2. Find and state its domain.

Mathematics

1 answer:

True [87]3 years ago

4 0

We can write (fg)(x) as: (fg)(x)=3x−6x−2. Factoring the numerator gives: .

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Lance bought 12 quarts of lemonade so that everyone who came to his party could have exactly 1/3 quart. How many people did Lanc

igor_vitrenko [27]

Lance invited 36 people to his party.

<u>Step-by-step explanation:</u>

It is given that,

Lance bought 12 quarts of lemonade.
Everyone who came to his party could have exactly 1/3 quart.

We know that,

The total quarts of lemonade available for the party = 12

Each person in the party consumes = 1/3 quart.

We need to find out how many people did Lance invited to his party.

<u>To find the number of people :</u>

Let us consider 'x' be the number of people invited to the party.

Total lemonade = number of people × lemonade for each person.

⇒ 12 = x × 1/3

⇒ 12×3 = x

⇒ x = 36 people

Therefore, Lance invited 36 people to his party.

6 0

3 years ago

Does anyone know the answer to this.

gayaneshka [121]

Answer:

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

FIRST STEP:

4*3 =12

6.5*3 =19.5

SECOND STEP:

21*12*19.5 =4914

4 0

3 years ago

Read 2 more answers

The function f(x) varies inversely with x and f(x)=8 when x=3

Sedaia [141]

Answer:

$12$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

In this problem we have

For $x=3$ -----> $f(x)=8$

Find the value of k

$f(x)*x=k$

substitute the value of x and f(x)

$8*3=k$

$k=24$

therefore

the equation is equal to

$f(x)=24/x$

For $x=2$ -------> substitute in the equation and find the value of f(x)

$f(x)=24/2=12$

6 0

3 years ago

Read 2 more answers

PLS HELP ME ASAP WITH 1, 2, 5, 6, 11, and 12 PLS!!

melamori03 [73]

1-

number 2) is correct

2- 3) is true

11) Jacob is not correct. because 6radical 5 is irrational

12) radical 20 is an irrational number but

so a+b is irrational

but
$\sqrt{225} = 15 \\ it \: is \: rational$

so b+c is rational

good luck

8 0

3 years ago

You consider yourself a bit of an expert at playing rock-paper-scissors and estimate that the probability that you win any given

cestrela7 [59]

Answer:

a) 0.37

b) 0.421

c) 0.25

Step-by-step explanation:

Since the probability of winning a game is binomial (P = 0.5) the expected value for number of winning when you play 60 games is

$\mu = 60*0.5 = 30$

And the standard deviation:

$\sigma = 60*0.5*0.5 = 15$

a) the cumulative probability of winning at least 35 games is

$P(X \geq 35) = 1 - P(X < 35) = 1 - 0.631 = 0.37$

b) $P(X < 27) = 0.421$

c) $P(30 \leq X \leq 40) = P(X \leq 40) - P(X \leq 30) = 0.75 - 0.5 = 0.25$

7 0

4 years ago