Four less than the product of 2 and a number equals 3 as an equation

The function h(x) is a transformation of the square root parent function,

kondaur [170]

Answer:

A. $h(x)=\sqrt{x-3}$

Step-by-step explanation:

<h3>Step 1: Definition</h3>

The parent function of $\sqrt{x}$ is translated to the left when $h$ is positive in the transformation $\sqrt{x+h}$ .

If $h$ is negative, the graph translates towards the left with the distance equal to the value of $h$ .

<h3>Step 2: Implementation</h3>

Here the graph moved 3 units towards the right. This means that $h$ is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

$h(x)=\sqrt{x-3}$

8 0

2 years ago

he probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1034

garri49 [273]

Answer:

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Sharks win, or they do not. The probability of the Sharks winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

The probability that the San Jose Sharks will win any given game is 0.3694.

This means that $p = 0.3694$

An upcoming monthly schedule contains 12 games.

This means that $n = 12$

What is the probability that the San Jose Sharks win 9 games in the upcoming month?

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{12,9}.(0.3694)^{9}.(0.6306)^{3} = 0.0071$

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

6 0

3 years ago

What is the graph of 3x + 5y = –15? Image for option 1 Image for option 2 Image for option 3 Image for option 4

saveliy_v [14]

Move x
5y = - 15 - 3x
y = - 3 - 3/5x
y = - 3/5 - 3
-y = 3/5 + 3

6 0

2 years ago

What is the formula of speed?

Galina-37 [17]

Answer:

d/t

D= Distance

T= Time

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Samantha deposit 300 in an account that earns an annual interest rate of 2.5 after nine months she computes the simple interest.

antiseptic1488 [7]

Answer:

She is doing a mistake of calculating interest after 9 months in place of after 12 months.

Step-by-step explanation:

Samantha deposit $300 in an account that earns an annual interest rate of 2.5%.

Now, Samantha after nine months of deposit computes the simple interest.

She is doing a mistake of calculating interest after 9 months in place of after 12 months.

The calculation of interest should be on a yearly basis (i.e. 12 months) as the interest rate is 2.5% per year. (Answer)

4 0

3 years ago