what is the equation of the following graph?

There are six ways in which the word FOOT may be spelt starting at any letter.

The term combianntion offers a plausible way to carry out a selection as long as we do not give preference to the order in which the selection is made. In this case, we are told that we can start from any letter therefore order is not important.

There are four letters in FOOT and one letter is repeated twice therefore;

4C2 = 4!/(4-2)! 2!

4C2 = 4 * 3 * 2!/2! * 2 *  1

4C2 = 12/2

4C2 = 6

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Answer:

Option 4 is correct.

Step-by-step explanation:

To find: Polynomial whose solution are not real numbers.

Given Polynomials are Quadratic Polynomial.

So, we can check if solution of quadratic polynomial by find & checking value of discriminant.

Standard form of Quadratic polynomial is given by

ax² + bx + c

then Discriminant, D = b² - 4ac

If, D > 0 ⇒ Solutions are distinct real numbers

if, D = 0 ⇒ Solutions are equal real numbers

if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)

Option A:

By comparing with standard form

a = 1 , b = -6 , c = 3

D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0

Thus, Solutions are Real numbers.

Option B:

By comparing with standard form

a = 1 , b = 4 , c = 3

D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0

Thus, Solutions are Real numbers.

Option C:

By comparing with standard form

a = -1 , b = -9 , c =-10

D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0

Thus, Solutions are Real numbers.

Option D:

By comparing with standard form

a = 1 , b = 2 , c = 3

D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0

Thus, Solutions are not Real numbers.

Therefore, Option 4 is correct.

Step-by-step explanation:

Answer:

Area = Base ×Height

Step-by-step explanation:

Area = Base × Height

Area = 3cm × 5cm

Area = 15cm

Area of the parrallelogram is 15cm

Answer:

24

Step-by-step explanation:

Volume to fill =  1 x 2 x 3/2 = 3  cm^3

Volume of cube to fill this volume  1/2 * 1/2 * 1/2 = 1/8 cm^3

3/ (1/8) = 24

Step-by-step explanation:

-3x + 6 = 2x - 24

6 = 5x - 24

30 = 5x

x = 6

Answer:

800ml

Step-by-step explanation:

solution A= 2% alcohol

solution B=7% alcohol

1200ml=1.2L

1200ml=1200cm^3

X= solution B

solution A + solution B=(1200+x)cm^3

% alcohol= amount of alcohol/total solution(AorB)×100

☆in 1200ml of solution A there's

0.02x1200

2x12

=24ml of alcohol (in 1200ml of solution A)

0.07x X

=0.07Xml of alcohol (in some ml of solution B)

(24+0.07X)ml of alcohol in = solution A and solution B

solution A + solution B= 1200+X

0.04 (1200+X)=24+0.07X

48+0.04X=24+0.07X

48-24=0.07X-0.04X

24=0.03X

X=800ml

Lets have Anisah be x right now.

4 years ago, Adrian was (x-4) + 28 = x+24
Right now, Adrian is 3x.

Knowing those two pieces of information, we can say that x+24 is equal to 3x-4. (This is because Adrian is 3x right now, and for 4 years ago, you subtract 4.)

x+24=3x-4
24=2x-4
28=2x
x=14

Right now Anisah is 14, and in 4 years he will be 14+4 = 18.

Answer:

A. 3.5

Step-by-step explanation:

The perimeter is just the sum of all of the side lengths. The sides of this triangle are n inches, (n + 5.2) inches, and (2n + 3.4) inches.

So, your equation is n + n + 5.2 + 2n + 3.4 = 22.6 inches.

You can combine like terms (adding together all of the n's and all of the numbers) to simplify your equation to 4n + 8.6 = 22.6 inches.

Subtract 8.6 from both sides of the equation to get 4n = 14, and divide both sides by 4 to get n = 3.5.

Hope this helps! :)

Answer:

[tex]\boxed{\sf{-30}}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is solve by order of operations.

PEMDAS stands for:

First, remove parenthesis.

Multiply.

-3*10

Solve.

[tex]\sf{-3*10=\boxed{\sf{-30}}[/tex]

-30

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

-30

Step-by-step explanation:

it is adding 10 three times, but then you add the negative after

so it is 10+10+10 because you are multiplying it by 3

you could also add 3 ten times because the communitive property

so 3+3+3+3+3+3+3+3+3+3

you would do the same whether the -3 was in parentheses or not

Answer:

Let’s break this apart

Well we know the median has to be 4

Since it’s 5 numbers the middle number has to be 4 since its the median.

Let’s put in what we know.

a, b, 4, d, e

Constraints:

There has to be more then 1 “4”.

e-a = 4

So using that information lets solve since the possibility is almost endless

SO lets make e 5 and a 1.

1, b, 4, d, 5

There has to be more then 1 4 so lets put that as b.

We can solve for the last remaining digits.

1+ 4 + 4 + d + 5 / 5 = 4

14 + d /5 = 4

2.2 + d = 4

1.8 = d

So now if we put in order and replace b with 1.8 and make d as the previous “b” as 4.

1, 1.8, 4, 4, 5

Thats your 5 numbers right there.

Check:

Mode is 4: yes!

Range is 4: 5-1 = 4 yes!

Median is 4: yes!

Mean is 4: 1 + 1.8 + 4 + 4 +5 / 5 = 4 yes!

Every thing checks out.

There could be a lot of possibilities.

For example take this wrong one

Lets make the same exact thing except change the a and the e.

THis is what we have,

a, b, 4, d, e

Lets make e and a as 6 and 2.  6-2 is still 4 so its possible.

2, b, 4, d, 6

And of course we need more then 1 4 so lets make d 4.

2, b, 4, 4, 6

Now solve for b in the mean.

2 + b + 4 + 4 + 6  / 5 = 4

16 +b /5 = 4

3.2 + b = 4

Solve

B = 0.8

This doesn’t work cause the median and the range has constraint here…

When doing a median, it has to be in ORDER.

2, 0.8, 4, 4 , 6 isn’t in order

ANd even when put in order.

0.8, 2, 4, 4, 6

THe range has the constraint here becuase 6 - 0.8 isn’t 4.

The Sun appears so large compared to the other stars because it is so much closer to us than any other star. The Sun is just an average sized star.

[tex]\boxed{ \dfrac{x}{3} \leq 5}[/tex]

A number {x} {divided by} {3} is {at most} {5}.

                  ↧          ↧             ↧            ↧         ↧

                  x          ÷             3           ≤         5

[tex]\text{Inequality formed} \rightarrow \boxed{ \dfrac{x}{3} \leq 5}[/tex]

Answer:

[tex]\sf \dfrac{x}{3}\leq 5[/tex]

Step-by-step explanation:

x divided by 3 = x/3

at most 5 means "equal or less than 5" =  ≤ 5

Final solution

[tex]\sf \dfrac{x}{3}\leq 5[/tex]

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

Extra information

Alternative ways of writing the inequality:

x ÷ 3 ≤ 5

[tex]\sf \dfrac13x\leq 5[/tex]

Answer:I think it might be D but i'm not 100% sure

All cases rewritten in the form of difference expressions are listed below:

Equalities represent relationships between two expressions, in which one expression is equal to another. An equality (x = a) is equivalent to the following difference expression:  

x - a = 0   (1)

And inequalities represent relationships between two expressions, in which one expression is not necessarily to another. An inequality (x < a, x > a, x ≤ a, x ≥ a) is represented by the following difference expression:

x - a = b   (2)

Where b have the following cases:

Now we proceed to rewrite each case in term of difference expressions:

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Answer:

[tex]y=\frac{-x(x+1)}{x+1} +5[/tex]

Step-by-step explanation:

This function has a slope of -1, a hole at x = -1, and a y-intercept of 5

Answer:

23 cubic units

Step-by-step explanation:

1st layer: 8 units
2nd layer: 7 units
3rd layer: 5 units
4th layer: 3 units

8+7+5+3 = 23
See the attachments below

Hope this helps :)

180-135=45

Step-by-step explanation:

the angles should total 360.

the opposite angle R is 135 and is equal to P

S is equal to Q so that can help

Import field: Tax Identification Number, Tax Number for Customers or Vendors. Tax Identification Number (customers) or Tax ID Number (vendors).

[tex] \cos(2x) = \cos(x) [/tex]

Solution (1)

[tex]2x = x + 2k\pi[/tex]

[tex]2x - x = 2k\pi[/tex]

[tex]x = 2k\pi[/tex]

for k=0 / for k=1 / for k=-1

x=0 / x=2π / x=-2π

acc / acc / rej

solution (2)

[tex]2x = - x + 2k\pi[/tex]

[tex]2x + x = 2k\pi[/tex]

[tex]3x = 2k\pi[/tex]

[tex]x = \frac{2k\pi}{3} [/tex]

for k=0 / for k=1 / for k=-1

x=0 / x=2π/3 / x=-2π/3

acc / acc / rej

Note that i'm trying values of K which make the answer belong to our interval;

So our solution which i will represent as a set is;

S € {0,2π/3,2π}

Answer:

£120

Step-by-step explanation:

96 divided by 4=£24

1=£24

24+96=120

Answer:

0.0625

Step-by-step explanation:

the probability of getting 4 heads in a row is 0.5^4

answer is 0.0625 or 1/16

Answer:

The Answer is 0.04

Step-by-step explanation:

Answer:

y=4x+2

Step-by-step explanation:

Hi there!

We are given that a line has a y intercept of 2, and a slope of 4

We want to write the equation of that line in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

As we are already given these values, we can substitute the values as needed into the formula to find the equation of the line.

First, substitute 2 as the y intercept (b)

y=mx+2

Now substitute 4 as the slope (m)

y=4x+2

We have found the equation of the line.

Hope this helps!

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Two people, Anne and Charlie.

Given that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:

Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.

Learn more about statistics in brainly.com/question/8058700

Answer:

the answer would be  3x^2 + 29x + 6/15x(x+2)

Answer:

8.

x

12

9

4.5

9.

3, 4, 12

3, 3, 12

6, 12

-6, -12

2

10.

plug in x to check work

Step-by-step explanation:

8.

1/2(x + 24) = 21

1/2x +12 = 21

1/2x = 9

x = 18

9.

28 - 3x - 4 = 2x + 12 + x

24 - 3x = 3x + 12

24 - 6x = 12

-6x = -12

x = 2

10.

3x - 18 + 6 = 5x - 6

3x - 12 = 5x - 6

-2x - 12 = -6

-2x = 6

x = -3

hope it help.

can you answer my question, i can help you in math, can you help me in english? please

Answer:

Your answer is 63

Step-by-step explanation:

First lets find the area of the rectangle:

To find the area of a rectangle your multiply the length by the width.  In this case it is 5 and 9 so..

5 x 9 = 45

Now to find the area of the triangle:

Formula for triangle: 1/2(bh)

9 is your height to find the base subtract 5 from 9:

9 - 5 = 4

Now divide that by 2:

4 / 2 = 2

2 is your base

Now we know the base and height solve:

1/2(2 x 9)

1/2(18)

18 / 2 = 9

multiply 9 by 2

9 x 2 = 18

Now add your areas to find the final area:

45 + 18 = 63

Answer:

12 because it is a common factor of the denominators

Answer:

178

Step-by-step explanation: