All categories

3 years ago

A rational function is a function whose equation contains a rational

Mathematics

2 answers:

mariarad [96]3 years ago

3 0

Answer:

True

Step-by-step explanation:

mote1985 [20]3 years ago

3 0

Answer:

true

Step-by-step explanation:

You might be interested in

What’s the answer plss I really need help

iragen [17]

Answer:

The answer is d) 22.4

Step-by-step explanation:

I attached a file below if you want to see the process!

8 0

1 year ago

Read 2 more answers

38% of students taking exam P will pass the exam. 5% of students are taking exam P having used ADAPT. 79% of the students using

sergeinik [125]

Answer:

the probability of passing the exam if a student does not use ADAPT is 0.3584

Step-by-step explanation:

Given the data in the question;

Probability a student will pass = 38% = 0.38

Probability a student have used ADAPT = 5% = 0.05

P(passed | used ADAPT) = 79% = 0.79

Now lets use table

Used ADAPT Not use ADAPT Total

Passed [0.05×0.79] = 0.0395 [0.38 - 0.0395] = 0.3405 0.38

Not Passed [0.05-0.0395] = 0.0105 [0.62 - 0.0105] = 0.6095 0.62

Total 0.05 0.95

Now, the probability of passing the exam if a student does not use ADAPT will be;

⇒ P(passed and Not used ADAPT) / P( did not use ADAPT)

⇒ 0.3405 / 0.95

⇒ 0.3584

Therefore, the probability of passing the exam if a student does not use ADAPT is 0.3584

5 0

3 years ago

Susan Marciano invested part of her $29,000 bonus in a fund that paid a 10% profit and invested the rest in a stock that suffere

dangina [55]

Answer:The amount invested at 10% is $16000

The amount invested in stock is $13000

Step-by-step explanation:

Let x represent the amount of money that Susan invested in the fund that paid a 10% profit.

Let y represent the amount of money that Susan invested in the stock that that suffered a 4% loss.

Total amount invested is 29000. This means that

x + y = 29000

The profit made on the fund is

10/100 × x = 0.1x

The loss made on the stock is

4/100 × y = 0.04y

if her overall net profit was $1,080, it means that

0.1x - 0.04y = 1080 - - - - - - - -1

Substituting x = 29000 - y. It becomes

0.1(29000 - y) - 0.04y = 1080

2900 - 0.1y - 0.04y = 1080

- 0.1y - 0.04y = 1080 - 2900

- 0.14y = - 1820

y = - 1820/ - 0.14 = 13000

Substituting y = 13000 into x = 29000 - y, it becomes

x = 29000 - 13000

x = 16000

3 0

3 years ago

2s fact and a 1s fact to find 3x3

vivado [14]

The answer is 24 just do 3×8

4 0

2 years ago

Read 2 more answers

Part E<br>Solve the equation x^2- 4x + 6 = 0 by completing the square.

dalvyx [7]

Answer:

Roots for the given polynomial p(x) is x = (2 + √2i) or x = (2 - √2i)

Step-by-step explanation:

Here, the given polynomial is $P(x) = x^{2} - 4x + 6 = 0$

Now, in <u>COMPLETING THE SQUARE</u> there are various steps.

Step (1): HALF THE COEFFICIENT OF x

Here, the coefficient of x = (4) so , the half of 4 = 4/ 2 = 2

Step(2) :Square it ADD IT ON BOTH SIDES OF EQUATION

The square of 2 is $(2)^2$ .

Adding it on both sides of the polynomial, we get

$P(x) : x^{2} - 4x + 6 + (2)^2 = 0 + (2)^2$

Step (3): Use the ALGEBRAIC IDENTITY and make a complete square.

Now, using the identity $(a\pm b)^2 = a^2 + b^2 \pm 2ab$

$\implies x^{2} - 4x + 6 + (2)^2 = 0 + (2)^2\\= (x^{2} - 4x + (2)^2 )+ 6 = 0 + (2)^2\\= (x-2)^2 + 6 - (2)^2 = 0\\\implies (x-2)^2 + 2 = 0$

or, $(x-2)^2 = -2$

Rooting both sides, we get

$\pm (x-2) = (\sqrt2i)$

Solving this, further,we get

x = 2 + √2i , or x = x = 2 - √2i

Hence, roots for the given polynomial p(x) is x = 2 + √2i or x = 2 - √2i

5 0

3 years ago