I GIVE BRAINLIEST MARKS I SWEAR rational functions, construct table values and sketch the graph of rational functions

Answer:

8190 ways

Step-by-step explanation:

Given

[tex]Teachers = 6[/tex]

[tex]Students = 15[/tex]

Selection

[tex]Students = 4[/tex]

[tex]Teachers = 5[/tex]

Required

Number of ways of selection

4 students can be selected from 15 students in:

[tex]Students= ^{15}C_4[/tex]

Similarly.

5 teachers can be selected from 6 teachers in:

[tex]Teachers= ^{6}C_5[/tex]

So, the required number of selection is:

[tex]Selection = ^{15}C_4 * ^6C_5[/tex]

Apply combination formula:

[tex]Selection = \frac{15!}{(15-4)!4!} * \frac{6!}{(6-5)!5!}[/tex]

[tex]Selection = \frac{15!}{11!4!} * \frac{6!}{1!5!}[/tex]

[tex]Selection = \frac{15*14*13*12*11!}{11!*4*3*2*1} * \frac{6*5!}{1*5!}[/tex]

[tex]Selection = \frac{15*14*13*12}{4*3*2*1} * \frac{6}{1}[/tex]

[tex]Selection = \frac{32760}{24} * 6[/tex]

[tex]Selection = 1365 * 6[/tex]

[tex]Selection = 8190[/tex]

Answer:

21 bags of chips and 11 bottles of pop

Step-by-step explanation:

(0.75 × 21)+(2.19 × 11) = $39.84

Answer:

18

Step-by-step explanation:

Divide the 39.84 to 2.19 because the question was find how much pop bought

Answer:

m ≥ 0

Step-by-step explanation:

Since the cost is represented by c = 0.12m, the domain should be a positive number, this is because number of minutes can't be written in negative. Therefore, the most reasonable number for the domain would be the set of positive whole numbers which means, m≥0.

Answer:

40%

Step-by-step explanation:

Answer:

yeah same

Step-by-step explanation:

Answer:

The first and fourth answer.

Step-by-step explanation:

There are eight fluid ounces in one cup. One cup has eight fluid ounces.

Answer:

255+35-75

Step-by-step explanation:

Since we are trying to find the account balance, we consider anything in or going to the account to be positive.

255 is positive since it is in the account

35 is positive since it is going into the account

75 is negative because it is going out of the account

so the final expression to express the amount is the checking account would be 255+35-75

Answer:

300 + 2,000 = 2,300

Step-by-step explanation:

349 = 300

1,978 = 2,000

because the 4 is less than 5 and any number greater than 5 is rounded up and any number less than 5 is rounded down

Answer:

x=5 y=3

Step-by-step explanation:

x+y=8 1

x-y=2 2

x+y=8

y=8-x

substitute into 2

x-(8-x)=2

x-8+x=2

2x=10

x=5

substitute x into 1

5+y=8

y=3

5+3=8

5-3=2

Answer:

5x

Step-by-step explanation:

4x plus 1x equals 5x.

Hope this helped, have a nice day! :)

Answer:

5x

Step-by-step explanation:

4x+1x

=x+x+x+x+x

Answer:

We conclude that the initial value of the function is 6.

Hence, option D is correct.

Step-by-step explanation:

The initial value of the function can be determined by setting x = 0 and determining the corresponding y value.

In other words, the initial value is basically the y-intercept of the graph.

It is the output value when the input value x = 0.

Given the graph, it is clear that:

at x = 0, y = 6

Thus, at x = 0, the value of y is 6.

i.e. the y-intercept b = 6.

Therefore, we conclude that the initial value of the function is 6.

Hence, option D is correct.

Answer:

6

Step-by-step explanation:

The initial value is the y-intercept or where the line crosses the y axis.

Answer:

it may be helpful to you.

Step-by-step explanation:

Answer:

[tex]x = \pm e^{-1}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle ln(x^2) = -2[/tex]

Step 2: Solve for x

Answer:

Step-by-step explanation:

lnx^n=nlnx

[tex]\ln x^2=-2\\2\ln x=-2\\\\\ln x=-1\\\\x>0\\x=e^{-1}\\or~x=\frac{1}{e}[/tex]

Answer: Hmm I don't know that you're an actor and hey u can report them if they leaked your phone number  

Step-by-step explanation:

Answer:

Yes. I heard, but I don't know know who are you. Don't worry I will keep an eye out.

Step-by-step explanation:

Answer:

$566.19

Step-by-step explanation:

If there is a 19% discount, the product is selling at 100-19=81% of the original price. Multiply and you get- 699*(81/100)=566.19 :)

the answer is 568 in in degrees tysm

Answer:

700/8% or 87.5%

Step-by-step explanation:

Answer:

700/8% or 87.5%

Step-by-step explanation:

Ur welcome

Answer:

D

Step-by-step explanation:

We open it up, so 2/3x + -3 + -2 -1/3x, -3 + (-2) = -5.

2/3x - 1/3x - 5, 2/3x - 1/3x = 1/3x

Our final answer is 1/3x - 5

Answer:

I believe the answer is B. nonlinear

Step-by-step explanation:

Answer: The length is 15 feet.

Step-by-step explanation:

But, the problem is asking for the length...

Answer:

(0, 6)

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = 3/2x + 6

Step 2: Break Function

Identify Parts

Slope m = 3/2

y-intercept b = 6

Answer:

answer is 6............

Answer:

3. See explanation

2. [tex]\displaystyle Yes[/tex]

1. [tex]\displaystyle [2, 1][/tex]

Step-by-step explanation:

3. Substitution, Elimination, and Graphing are ALL three methods to solve a system of equations, whether they are in three variables or two. The only differense is that with graphing, you will easily spot when a system is dependent [Infinitive Solutions], inconsistent [no solution], and\or consistent [one solution]. With elimination, you want to eliminate one set of variables [set to zero] so that it will be alot simpler solving the system, then latre on, substitute whatever value solved for the remaining set of variables back into the system to solve for the eliminated variable. Finally, with substitution, all you have to do is choose which variable you want to solve for in all three equations, or two. It really does not matter which one, as long as you follow the proper universal concept in using the Order of Operations.

2. This is self-explanatory really. The only time you cannot use any method is when the linear equations form parallel lines. Otherwise, you will always have one or infinite solutions.

1. See above imagery

I am joyous to assist you at any time.

Answer:

m = 0

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-5}{7+6}=\frac{0}{13} =0[/tex]

Hope this helps

Answer: 54.4 mph

Step-by-step explanation:

First find the distance to the train station. If it took Carlos 4 hours to come back driving at 68 mph, the distance is:

= Speed * time

= 68 * 4

= 272 miles

This means that Carlos drove for 5 hours to cover 272 miles the first time. His average speed was therefore:

= Distance / time

= 272/5

= 54.4 mph

I attached the answer below. Please take a look. You're welcome.

Answer:

Step-by-step explanation:

a.

Initial value of the pass is $100

From the difference in values we can see the cost of one ride is $1.75

The formula:

Value of the pass after 15 rides:

b.

Number of possible rides:

hi! im chimken and i have your answers!

x = 43/8

( 98 ÷ 14 + x - 9 / 24 ) • 40 = 480

( 7 + x - 9 / 24 ) • 40 = 480

( 53 / 8 + x ) • 40 = 480

265 + 40x = 480

40x = 480 - 265

40x = 215

x = 43 / 8

i hope this helped! have a good day! :)

praise bingus!

Answer: x = 43/8

HOPE THIS HELPS

Answer:

y = -2

Step-by-step explanation:

31 = 3 (y+7) - 8y

31 = 3y +21 - 8y

31 = -5y +21

10 = -5y

-2 = y

Answer: 76

Step-by-step explanation: 104 + 76 = 180

Answer:

I suppose that here we have:

"(4, - 2) flipped over the x-axis"

Regardless of that, i will answer this in a kind of general way.

When we have a point (x, y) and we do a reflection over the x-axis (or the line y = 0, is the same) the reflected point will be (x, - y)

If we instead had a reflection over the y-axis (or the line x = 0) the reflected point will be (-x, y)

Then if we have the point (4, -2) and we have a reflection over the x-axis, the sign of the y-component needs to change.

Then the reflected point will be (4, -(-2)) = (4, 2)