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3 years ago

Which of the following rational functions is graphed below?

Mathematics

1 answer:

puteri [66]3 years ago

8 0

Answer:

$\textbf{A. }F(x)=\dfrac{1}{(x-3)^2}$

Step-by-step explanation:

The parent function 1/x² is shifted 3 units to the right. That means x has been replaced by x-3:

F(x) = 1/(x -3)²

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The ratio of male teachers to female teachers in a school is 1 to 5. If there are 60females teachers how many male teachers are

ANTONII [103]

Answer:

There are 12 male teachers.

Step-by-step explanation:

Ratio of male teachers to female teachers in a school is 1 to 5.

For every 1 male teacher, there is one female teacher.

There are 60 female teachers.

Divide 60 by 5 = 12.

12 times 1 = 12

There are 12 male teachers.

3 0

3 years ago

I will mark brainlest <br><br> What is (-5) - (-98)<br><br> lol I am just doing this for fun

denpristay [2]

Step-by-step explanation:

$( - 5) - ( - 98) \\ ( - 5) + 98 = 93$

6 0

2 years ago

Read 2 more answers

Give one number that makes the inequality 3x < 25 true

elena55 [62]

1 is the safest answer.

4 0

3 years ago

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Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer gam

AVprozaik [17]

Answer:

The equation would be $4x-15=21$ .

Step-by-step explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has = $x-5$

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has = $2(x-5)=2x-10$

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

$x+x-5+2x-10=21\\\\4x-15=21$

Hence The equation would be $4x-15=21$ .

On Solving we get;

Adding both side by 15 we get;

$4x-15+15=21+15\\\\4x=36$

Dividing both side by 4 we get;

$\frac{3x}{4}=\frac{36}{4}\\\\x=9$

Hence Nicholas has = 9 video games

Robert has = $x-5= 9-5=4$ video games

Charlie has = $2x-10 = 2\times9-10=18-10=8$ video games

5 0

2 years ago

Read 2 more answers

If probability of catching a cold is 0.03, what is the probability of 3 people out of six catching a cold?

xeze [42]

Answer:

$P(X=x)=0.0004928$

Step-by-step explanation:

-This is a binomial probability problem.

-Given the probability of catching a cold is 0.03, n=6

#The probability of exactly 3 people catching a cold is calculated as:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=3)={6\choose3}0.03^3(1-0.03)^3\\\\=0.0004928$

Hence, the probability of exactly 3 in 6 people catching a cold is 0.0004928

8 0

2 years ago