MATHEMATICS HIGH SCHOOL

Please simplify and show your work please

Answers

Answer 1

Answer:

Hi Panda

m²/5f²/m/f³

= m²/5f^5m

= m/5f^5

I hope that's help:0

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Answers

ANSWER

EXPLANATION

In linear functions we often have the slope-intercept form of the equation:

$f(x)=mx+b$

Which can also be written in a different order, for example:

$f(x)=b+mx$

m is the slope of the line. The slope of the graph of a function is the rate of change.

b is the y-intercept. This

The probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a video game from the store is 0.74 (event B). The probability that Edward purchases a video game (given that Greg has purchased a video game) is 0.67. Which statement is true?A. Events A and B are independent because P(A|B) = P(A)
B. Events A and B are dependent because P(A|B) = P(A)
C. Events A and B are independent because P(A|B) = P(B)
D. Events A and B are dependent because P(A|B) P(A)

Answers

The statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).

What is conditional probability ?

In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event has already occurred. In conditional probability, we always deal with two or more mutually exclusive events.

How to identify the correct statement ?

Given that the probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a video game from the store is 0.74 (event B). The probability that Edward purchases a video game (given that Greg has purchased a video game) is 0.67.

Thus we can see that both the events A and B are mutually exclusive events . Also A and B are both independent events means they do not have any relation of simultaneously occurring.

P(A/B) means that the probability that A will occur given that B has already occurred.

As both the events are independent, therefore when A will occur, it will have no relationship with event B.

∴ P(A/B) = P(A) .

Thus the statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).

To learn more about conditional probability, refer -

brainly.com/question/11896081

#SPJ2

Events A and B are independent because P(A|B) = P(A).

Given two events A and B, the conditional probability P(A|B) is the probability that A happends, knowing that B has happened. If the two events are dependent, knowing that B has already happened will change the probability of A. If, instead, knowing that B has happened doesn't change the probability of A, it means that A doesn't depend on B, and thus the events are independent.

The inverse of the function f(x) = x + 10 is shown.h(x) = 2x –

What is the missing value?

Answers

we have

$f(x) = (1)/(2)x + 10$

Step $1$

Let

y=f(x)

$y = (1)/(2)x + 10$

Exchange the variable x for y and variable y for x

$x = (1)/(2)y + 10$

Clear variable y

Multiply by $2$ both sides

$2x = y + 20$

$y = 2x-20$

Let

$f(x)^(-1) =y$

$f(x)^(-1)=2x-20$

therefore

the answer is

the inverse of the function is $f(x)^(-1)=2x-20$

the missing value is $20$

Answer:

The Given function is

y= x + 10

To find the inverse of function , we use the following procedure

x=y-10

Now, replace x by y and y by x, we get the inverse of function

y=x -10 , is the inverse of the function, y=x+10.

As, it is given that inverse of f(x) is h(x)

Also, h(x)= 2 x - k-------(1)

Inverse of f(x)=x+10 is ,y= x-10, that is 2 y=2 x- 20------(2)

Comparing 1 and 2, gives

h(x)=2 y

-k=-20

k=20

Johnny stated "All prime numbers are odd." Charlene responded, "I can demonstrate that your statement is false."Which explanation is sufficient to prove Johnny's statement is false?

Answer choices are
A)Many prime numbers have a difference of two, such as 5 and 7, 11 and 13, and 41 and 43.

B)The numbers 15, 35, 21, are all odd, but not prime numbers.

C)There could be a very large number that is even and prime.

D)The number 2 is a counterexample.

Answers

Only number 2 is prime and even number.

Option D is correct.

Prime and even number :

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

A factor is a whole number that can be divided evenly into another number.

The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.

An even number is a number that can be divided into two equal groups.

An odd number is a number that cannot be divided into two equal groups.

From above definition of numbers, It is observed that 2 is prime and even number.

Thus, statement "All prime numbers are odd " is false.

Learn more about the Number system here:

brainly.com/question/17200227

$\text{Hello There!}$

$\bf\text{All prime numbers are ultimately odd besides 2 because it is a factor.}$

$\text{Therefore, he would be close, but incorrect at some extent.}$

$\bold{So\;D\;would\;be\;your\;answer.}$

$\huge\text{I hope this helped! (:}$

$\rule{250}{1.5}$

Use the substitution method to solve the system of equations. Choose the correct ordered pair.x + y = 5 y = 7

Answers

First we put 7 in the place of y, after that subtract 7 from both sides, the answer is -2.
x + y= 5 y = 7
x+ 7=5
x= 5-7
x = -2

Simplify completely the quantity x squared plus x minus 12 over quantity x squared minus x minus 20 divided by the quantity 3 x squared minus 24 x plus 45 over quantity 12 x squared minus 48 x minus 60.

Answers

x² + x - 12 / x² - x - 20 ÷ 3x² - 24x + 45 / 12x² - 48x - 60

x² + x - 12 / x² - x - 20 * 12x² - 48x - 60 / 3x² - 24x + 45

(x² + x - 12)(12x² - 48x - 60)
(x² - x - 20)(3x² - 24x + 45)

12x^4 - 48x³ - 60x² + 12x³ - 48x² - 60x - 144x² + 576x + 720
3x^4 - 24x³ + 45x² - 3x³ + 24x² - 45x - 60x² + 480x - 900

12x^4 - 48x³ + 12x³ - 60x² - 48x² - 144x² - 60x + 576x + 720
3x^4 - 24x³ - 3x³ + 45x² + 24x² - 60x² - 45x + 480x - 900

12x^4 - 36x³ - 252x² + 516x + 720
3x^4 - 27x³ + 9x² + 435x - 900

12(x^4 - 3x³ - 21x² + 43x + 60)
3(x^4 - 9x³ + 3x² + 145x + 300)

4(x^4 - 3x³ - 21x² + 43x + 60)
(x^4 - 9x³ + 3x² + 145x + 300)

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