Describe a situation in which you would need to indicate a domain restriction on a rational function.

Answer:

5 guests: 6 slices 10 guests: 3 slices 15 guests : 2 slices

Step-by-step explanation:

So, we have 30 slices of pizza and 5, 10, and 15 slices

So , we need to divide 30 by each of the guests

30÷5=6

30÷10=3

30÷15=2

We can also heck by multiplying teh guests by our answer

5*6=30 ✔️

10*3=30✔️

15*2=30✔️

So, for 5 guests, each oione gets 6 slices

For 10 guests, each guest gets 3 slices

For 15 guests, each guest gets 2 slices

Answer:

Slope of the graph is steeper.

The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

Step-by-step explanation:

First we will find slope of the graph.

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We need to find two points from the graph to find the slope.

Let we take point 1 (-2,1) and point 2 (1,2)

We will have: [tex]x_1=-2, y_1=1, x_2=1, y_2=2[/tex]

Now finding slope of the graph

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-1}{1-(-2)} \\Slope=\frac{2-1}{1+2}\\Slope=\frac{1}{3}[/tex]

So, slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

Now, we will find slope of Linear function.

It has x-intercept of 1 and y-intercept of -2

x-intercept means y=0

So, the point will be: (1,0)

y-intercept means x=0

So, the point will be: (0,-2)

We will have: [tex]x_1=1, y_1=0, x_2=0, y_2=-2[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-0}{0-(1)} \\Slope=\frac{-2-0}{0+1}\\Slope=\frac{-2}{1}\\Slope=-2[/tex]

So, the slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]

Now, we need to find which of the slope is steeper.

The larger the value of slope, more steeper it is:

Now, comparing the slopes:

The slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

The slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]

We know that, [tex]\frac{1}{3}>-2[/tex]

So, Slope of the graph is steeper.

The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

Answer:

Those Are The Cells Inside A Turtle.

Step-by-step explanation: Try Searching Up "Cells Inside A Turtle" It Will Probably Help.

Answer:

depends on how big his kitchen is

Step-by-step explanation:

His kitchen could be big and it can be small so it depends on how big his kitchen is

Answer:

2

Step-by-step explanation:

9x-7 = 7x-3

9x-7x = 2x

2x -7 = -3

   +7   +7

2x=4

x=2

Answer:

1. b d

2. is c or d

3. a or c

4. b or c

5. c

Step-by-step explanation:

Answer:

1. 18 2. 30

Step-by-step explanation:

finding a triangle a=b(base)h(height) 1/2

9 times 4=36/2 =18

the whole thing is 48- the triangle 18=30

Answer: zero

Explanation: if one classroom on its own needed 17 gallons of paint and they only purchased 16,-- which is less than needed for one classroom- how would there be enough for any other classroom?

Answer:

x = 12

y = 8

Step-by-step explanation:

to solve for x you would set up your equation:

4x - 3 = 45

then solve using algebra:

4x - 3 = 45

4x = 48

x = 12

to solve for y set up your equation as:

11y + 6 = 94

TO GET 94: you will need to subtract 41 and 45 from 180 to get 94.

(each triangle equals 180 and we need the 3rd measure)

solve the equation:

11y + 6 = 94

11y = 88

y = 8

Hope this helped!!

Answer:

B.) 6x² + 7x + 2

Step-by-step explanation:

(3x + 2) ( 2x + 1)

6x² + 3x + 4x + 2

6x² + 7x + 2

Answer: It would be (0,12) for sure but I'm not sure about the rest

Step-by-step explanation:

Part A:

$12 per ticket

36/3= 12

Part B:

$5.50 for two ice cream cones

8.25/3= 2.75 2.75•5= 5.50

Part C:

$1.65 for 5 bananas

.99/3=.33 .33•5= 1.65

Answer:

A= 12 dollars per ticket

B= 5.50 for two ice cream cones

C= 1.63 for five bananas

Step-by-step explanation:

you take the number of items you have over the price

ex= #item/ price

then you put the number of items you want over x

ex #item/x

then cross multiply you should get something like this

#itemx = price

then you divide by your #item until you are left with x, x is your answer

Answer:

$1711.5

Step-by-step explanation:

Step one

given data

Principal = $1500

interest rate= 4.5% = 0.045

time = 3 years

Step two:

The compound interest expression is

[tex]A= P(1+r)^t\\\\A=1500(1+0.045)^3\\\\A=1500(1.045)^3\\\\A=1500*1.141\\\\A=1711.5[/tex]

Answer:

I didn't receive enough information about this, but I hope this helps?

Step-by-step explanation:

A 50%?

B 50%?

This problem needs more information.  :3

Answer:

The x-intercept is (-2,0)

Step-by-step explanation:

Answer:

y = x

Step-by-step explanation:

Answer: (+) 1/3

Step-by-step explanation: 2/3 + -1/3 is basically subtracting 1/3 from 2/3 so, 2/3 - 1/3 = 1/3.

Answer:

The answer is 1/3.

Step-by-step explanation

If you have a calculator then you can put it in your calculator and it will give you the answer.

If you don't have one then here is how you do it.

Its simple really, all your doing is just subtracting 1/3 from 2/3 and you will get 1/3 which is the answer.

I hope this helps you.

Answer:

slope = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2y - 4x + 8 = 0 ( subtract - 4x + 8 from both sides )

2y = 4x - 8 ( divide all terms by 2 )

y = 2x - 4 ← in slope- intercept form

with slope m = 2

Answer:

x=1/6

Step-by-step explanation:

The steps are in the picture below

Answer:

Step-by-step explanation:

here you go mate

step 1

3х + 4 = 9x + 3 ​ equation

step 2

3х + 4 = 9x + 3 ​ simplify

-6x+4=3

step 3

−6x+4=3  subtract 4 from both sides

−6x+4(-4)=3(-4)

-6x=-1

step 4

[tex]\frac{-6x}{-6} =\frac{-1}{-6}[/tex]  divide both sides

answer

x=[tex]\frac{1}{6}[/tex]

Answer:

70 gifts were returned

Step-by-step explanation:

14%* 500

0.14*500= 70

Answer:

Step-by-step explanation:

34

Answer:

sum of ratio =3+2=5

David'share=£9900x3/5=£5940

Sum of ratio for part= 4+4+2=10

for himself=£5940x4/10=£2376

for wife=£5940x4/10=£2376

for son=£5940x2/10=£1188

his wife gets over son

£2376-£1188=£1188

Answer:

1188 pounds

Step-by-step explanation:

your welcome :)

Answer:

x=4 and y=0

Step-by-step explanation:

Sub x-4 in for y:

2x+4(x-4)=8

2x+4x-16=8

6x=24

x=4

y=x-4

y=4-4

y=0

Y = 4

X = 0

Answer is 8

Answer:

answer is option A PQ AND JN

PQ and JN are a pair of lines that are non-intersecting, non-parallel, and non-coplanar, so they are skew lines.

Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar. This implies that skew lines can never intersect and are not parallel to each other. For lines to exist in two dimensions or in the same plane, they can either be intersecting or parallel.

In the cuboid,

1) PQ and JN

Here, PQ and JN are a pair of lines that are non-intersecting, non-parallel, and non-coplanar, so PQ and JN are skew lines.

2) MQ and KO

Here, MQ and KO are parallel lines.

3) ON and NQ

Here, ON and NQ are intersecting lines

D) OP and JM

Here, MQ and KO are parallel lines.

Therefore, option 1 is the correct answer.

To learn more about the skew lines visit:

https://brainly.com/question/1995934

#SPJ2

Answer: x = 4

Step-by-step explanation:

6x + 8 = 5x + 12

      -8            -8

6x = 5x + 4

-5x  -5x

x = 4

Answer:

Step-by-step explanation:

K is located at -25

L is located at -15

just move 5 units away from J on both sides

hope this helps <3

Answer: 6,656 rabbits.

Step-by-step explanation:

The initial number of rabbits is 26.

We know that every 30 days, this number is doubled.

Then after 30 days, the population of rabbits is: 2*26

After other 30 days, the population will be: 2*(2*26) = 26*(2)^2

After another 30 days, the population will be: 2*26*(2)^2 = 26*(26)^3

The equation for this population can be written as:

P = A*(1 + 1)^(d/30)

where:

A is the initial population, in this case, 26

d is the number of days that have ben passed.

the denominator of 30 is because the population doubles every 3 days, so when d = 30, we will have that d/30 = 1, this is the first time that the population is doubled. When d = 60, d/30 = 2, this is the second time that the population is doubled, and so on.

Then our equation is:

P(d) = 26*(2)^(d/30)

The population after 240 days will be:

P(240) = 26*(2)^(240/30) = 6,656

So after 240 days, there will be 6,656 rabbits.

Answer: Bus B is slightly faster

Step-by-step explanation:

the slope for bus A is slightly greater than the slope 125/2 of bus B