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3 years ago

What is this rational function?

Mathematics

2 answers:

ZanzabumX [31]3 years ago

8 0

Answer:

A rational function is any function which can be written as the ratio of two polynomial functions, where the polynomial in the denominator is not equal to zero. The domain of f(x)=P(x)Q(x) f ( x ) = P ( x ) Q ( x ) is the set of all points x for which the denominator Q(x) is not zero.

Hope this helps!!! :D

Aleks [24]3 years ago

5 0

9514 1404 393

Answer:

f(x) = (x^2+2)/(x-1)

Step-by-step explanation:

In simplest form, it will be a quadratic divided by (x-1). The quadratic must have no zeros, and a y-intercept of 2.

One such could be ...

f(x) = (x^2 +2)/(x -1)

The numerator polynomial must have no zeros in order to prevent the rational function from having zeros. It must be a function that has a degree an odd number greater than the denominator function. The denominator function can have only one zero, at x=1. The ratio of the functions must have a net odd degree and the overall leading coefficient must be positive in order to make the end behavior match the requirement.

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Which choice correctly shows rounding to the hundredths place?

TEA [102]

The hundredth place is the one with two places to the right of the decimal place. For example in the number 123.4579, five is in the hundredths place. Therefore, the answer 3.88 + 4.82 + 1.73 correctly shows rounding to the hundredths place. All of the numbers being added together only have two numbers after the decimal. By laws of math, when they are all added together, there will only be two number after the decimal.

8 0

4 years ago

Read 2 more answers

What is the rate of change and initial value for the linear relation that includes the points shown in the table? x; 1,3,5,7

BARSIC [14]

Answer:

The rate of change is -5

The initial value is 25

Step-by-step explanation:

Since, this is a linear relation

so, we can select any two points and find equation of line

points are (1,20) and (3,10)

so,

$x_1=1,y_1=20$

$x_2=3,y_2=10$

now, we can find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{10-20}{3-1}$

$m=-5$

now, we can use point slope form of line

$y-y_1=m(x-x_1)$

now, we can plug values

$y-20=-5(x-1)$

now, we can solve for y

$y=-5x+25$

we know that

slope is the rate of change

So, the rate of change is -5

For finding initial value , we can plug x=0 and find y

$y=-5\times 0+25$

$y=25$

So, initial value is 25

3 0

3 years ago

HELP FAST

Stels [109]

Answer- 78

Step-by-step explanation:

6 0

3 years ago

A zookeeper is monitoring the population of gazelles. The herd needs three times more males than females to thrive, and the zoo

avanturin [10]

Answer:

0 < x ≤ 12 and 0 < y ≤ 36

Step-by-step explanation:

Here, x represents the number of female gazelles and y represents the number of male gazelles.

The zoo only has room for 12 female gazelles.

∵ The number of rooms must be more than or equal to the total female gazelles ,

12 ≥ x

Also, number of animals can not be negative,

And, it must be greater than 0.

⇒ 0 < x ≤ 12,

⇒ 3(0) < 3x ≤ 3(12)

⇒ 0 < 3x ≤ 36

∵ Number of males gazelles = 3 × number of female gazelles

⇒ y = 3x

⇒ 0 < y ≤ 36

Hence, the constraints to represent a thriving population of gazelles at the zoo are,

0 < x ≤ 12,

0 < y ≤ 36

7 0

3 years ago

Read 2 more answers

Gregorio took two tests. Find his z-score for each test. (Remember: The number of standard deviations between a score and the me

never [62]

I found the missing parts of this question.
Test A
Gregorio’s score 62 
Mean score 80 
Standard deviation 6 

Test B 
Gregorio's score 70 
Mean score 90 
Standard deviation 10 

a. Test A: 3; Test B: 2; Test A 
c. Test A: –2; Test B: –3; Test A 
b. Test A: –3; Test B: –2; Test B 
d. Test A: –3; Test B: –2; Test A


Refer to the attachment for the formula of z score:

test A: z = (62-80)/6 = -18/6 = -3
test B: z = (70-90)/10 = -20/10 = -2

B. Test A: –3; Test B: –2; Test B

5 0

3 years ago