Find the domain, points of discontinuity, and x - and y - intercepts of each rational function. Determine whether the discontinuities are removable or non-removable. y=6-3 x / x²-5 x+6

Ans :

90 minutes, the sloth may move 600 units .

Given :

250*5/8 = 250 × (8/5) = 400

Hour :

a period of time equal to the twenty-fourth part of a day and night and divided into 60 minutes.

1 hour =  60 minute

Slot :

a long, narrow aperture or slit in a machine for something to be inserted.

sloth may move 400 units per hour.

a sloth may move in 400 units = 60 minutes.

A slot of 200 units = 30 minutes.

Therefore,

it will move (400 + 200) units =  (60 + 30) minutes.

Hence,

in 90 minutes, the sloth may move 600 units.

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Answer:

[tex] \sf \: \frac{ x {}^{6} }{16y {}^{8} }[/tex]

Step-by-step explanation:

(4x-³y^4)-²

=x^6/16y^8

Answer:

The equation will be y= 3x + 4

Step-by-step explanation:

Hope this helps :)

The equation in slope-intercept form describes a line that has a y-intercept of 4 and a slope of 3 will be y= 3x + 4.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, a line that has a y-intercept of 4 and a slope of 3.

The standard equation in the slope-intercept form is,

y = mx +c

Where m is the slope and c is the intercept. The ratio that y increase as x increases is the slope of a line.

Substitute the given value,

y = 3x + 4

Thus, the equation in slope-intercept form describes a line that has a y-intercept of 4 and a slope of 3 will be y= 3x + 4.

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Answer:

either 6 or 5

Step-by-step explanation:

median is the middle of the listed numbers

Answer:

V=144cm³

Step-by-step explanation:

V=?

r=4cm

h=9cm

pi=3

V= pi*r²h/3

V=3*4²*9/3

V=3*16*9/3

V=144cm³

- - - - - - - - - - - - - - - - - - - - - - - -

Hello! The explanation is below.

- - - - - - - - - - - - - - - - - - - - - - - -

Here, we're trying to figure out what x means. So, let's!

Basically, this equation says, "What number must you have to reach -24?"

Well, if you subtract 98, you have zero already. So, find a lesser number to remove 98 from.

(after playing with numbers)

74 - 98 = -24

Have a wonderful day/night!

~pinetreee

Answer:

The rate of change is 1/2. And it is consistent.

Step-by-step explanation:

Start from the first point. As you see, the second point is 2 units right and 1 unit up from the first point. According to the formula for slope, (y1-y2)/(x1-x2)=slope, (24-16)/(2-0)=4, I know that the y-value increased by 4 as x-value increased by 1. Hope you find the answer helpful.

Resolviendo las sumas y restas de la expresión podemos ver que:

0.9-8.8+11+2.6 = 5.7

Tenemos un problema que involucra sumas y restas, tenemos que resolver la siguiente expresión:

0.9-8.8+11+2.6

Vamos a hacerlo de izquierda a derecha, lo primero que debemos resolver es:

0.9 - 8.8 = -7.9

reemplazar esto nos da:

-7.9+11+2.6

Lo siguiente que debemos resolver es:

-7.9 +11 = 3.1

Reemplazando eso obtenemos:

3.1 + 2.6 = 5.7

ese es el resultado de la expresion.

Entonces podemos concluir que:

0.9-8.8+11+2.6 = 5.7

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Step-by-step explanation:

the domain is the interval or set of all valid input (x) values.

so, x goes through what values ?

we see, from left to right, it is coming from a limitless left (-infinity) and goes seemingly against x = 2 without ever reaching that value.

so, the domain is

-infinity < x < 2

Answer:

x-5

Step-by-step explanation:

You need to make 4x into a singular x. To do that divide the whole equation by 4 which is 1x or which is just x. Make sure to divide the -20 which is -5 making the whole equation x-5

the logarithm function ( log ₅ 5 ) is not a common logarithm function as it does not have a base 10.

In mathematics, the common logarithm is the logarithm with base 10.

It is also known as the decadic logarithm and as the decimal logarithm function.

Here, we have the logarithm function as:

( log ₅ 5 )

Now, we can see that:

It has a base of 5.

So, it will not be a common logarithm function as having base 10 is an important characteristic of a common logarithm function.

Therefore, we get that, the logarithm function ( log ₅ 5 ) is not a common logarithm function as it does not have a base 10.

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Answer:complementary

Step-by-step explanation:

I think 4 is complementary angles as complementary angles add up to 90 degrees

But about the rest I hope this help I am also not too sure about my answer either

Answer: − 104 y^2 + 52y

Answer:

Option C (the third option) or option A (the first option) may be correct.

Step-by-step explanation:

-13y(8y-4)

Use the distributive property to multiply -13y by 8y - 4.

-104y2+52y

The smallest possible value of N if we we divide N by 3, we get a remainder of 1 is 61.

It should be noted that based on the information, we simply have to find the lowest common multiple for 3, 4, and 5. It should be noted that this will be 60 then we add 1.

The number will be:

= 60 + 1

= 61

Therefore, the smallest possible value of N if we we divide N by 3, we get a remainder of 1 is 61.

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Answer:

open

Step-by-step explanation:

It would be open, since the inequality: [tex]x > 1[/tex] only contains solutions greater than 1, and if you were to plug in 1 as x, you would get:  [tex]1 > 1[/tex] which is of course not true, so 1 is excluded and thus has an open circle.

The only case where it would be closed is if it's: [tex]x\ge1[/tex] where plugging in 1 as x would result in a true statement, thus 1 is included in the interval

it is possisend at 6 and 2/3

Answer:

√43.

Step-by-step explanation:

It is at approximately 6.6

6.6^2 = 43.56

so, the answer is √43.

The domain for g (x) / f( x) = x + 4 will be all real numbers when f (x) = x - 4 and g (x) = x² - 16.

We are given the two functions as:

f (x) = x - 4

g (x) = x² - 16

Now, first, we need to divide g (x) by f (x).

So, we get that:

g (x) / f (x) =( x² - 16) / (x - 4)

g (x) / f(x) =( x - 4) (x + 4) / (x - 4)

g (x) / f( x) = x + 4

Now, the domain of the function will be all real numbers as it will be defined for all the real numbers.

Therefore, we get that the domain for g (x) / f( x) = x + 4 will be all real numbers when f (x) = x - 4 and g (x) = x² - 16.

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Point of discontinuity for each rational function. y= x-1 / (x+1)² is x = -1

In algebra, a discontinuous function is one that has a point at which the function is not defined, at which the left-hand limit and right-hand limit are equal but not equal to the value of the function at that point, or at which the limit of the function does not exist. Discontinuous functions may have three different sorts of discontinuities: jump, removable, and essential. The graph of a discontinuous function contains gaps.

Given the function is -

y= x-1 / (x+1)²

It can be expressed in the form of -

y = x-1 / (x+1)(x+1)

The function will be undefined if the denominator will be 0

⇒ x+1 = 0

⇒ x = -1

So we can conclude that the function will be undefined at point x = -1

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The function shows a decay and the equation of the asymptote is y = 0

The equation of the function is given as

f(x) = 12(0.96)^x.

Next, we plot the graph of the function f(x) = 12(0.96)^x

See attachment for the graph of the function f(x) = 12(0.96)^x

From the attached graph, we can see that the values of the graph decreases as x increases.

This represents a function decay

To do this, we set the rate to 0

So, we have

y = 12 * 0

Evaluate

y = 0

Hence, the equation of the asymptote is y = 0

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The simplified form is 5.

Simplify is to make something less complicated or much less cluttered. An instance of simplification is when you provide an explanation for a difficult math idea in truly smooth phrases for a kid to understand. An example of simplifying is whilst you chop out a whole lot of the activities that were making you busy and careworn. To turn out to be less difficult.

The phrase simplifies the approach to make something simpler to do or understand. So, by lowering or simplifying the fractions approach we make the fraction as simple as viable. We do this by dividing the numerator and the denominator via the biggest range that may divide into each number precisely.

[tex]( 5^{2} )^{1/2}[/tex]

[tex]5^{2} . \frac{1}{2}[/tex]

[tex]2.\frac{1}{2} =1[/tex]

[tex]5^{1}[/tex][tex]= 5[/tex]

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The number of ways six numbers can be drawn are 9366819.

Combinations also are referred to as choices or selections. Combinations correspond to the choice of factors from a given set of factors. Here we do now no longer intend to set up things. We intend to choose them.

The combination formula to find out number of ways is,

where n is the number of objects to select from and r is the variety of objects that want to be picked. This system is used while no repetition is allowed and order does not matter.

From the given question let us consider,

n= 46    

r=6

By applying the combination formula

46C6= 46!/6!(46-6)!

= 46.45.454.43.42.41/6!

= 6744109680!/6!

= 6744109680/720

=9366819

Therefore the required answer is 9366819 ways.

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Answer:

Step-by-step explanation: nPr

= n!

(n-r)!

= 46!

(46-6)!

= 46!

40!

= 6744109680

The inequality to represent the last statement that was made by Mai will be t <= 2.

It should be noted that an equation simply means the relationship that can be used to show the relationship among the variables.

It should be noted that the last statement made by Mai is that I think triathlon athletes generally train for no more than 2 hours a day.

Therefore, the inequality to represent this will be t <= 2.

where t = number of hours trained.

This implies that t is less than or equal to 2 hours

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Answer:

srry if this is wrong but 13!

Answer: 5.1 = 20.4 and = 30.6

Step-by-step explanation: Add a fraction to 5.1 + 5.1 if you keep adding by 5.1 gets an answer

B & C

A= 3.6:1

B= 5:1

C= 5.1

Answer:

j has infinite solutions

Step-by-step explanation:

|3j-1|+6>0

|3j-1|+6-6>0-6

|3j-1|>-6 ==> all absolute value functions are greater than negative values

Hence, j has infinite solutions.