In how many ways can four people sit around a circular table? Seating arrangements are considered different only if at least one person has at least one different neighbor.

Answer:

7x^2 −12x−10

Step-by-step explanation:

 ((5x2 -  8x) +  1) +  (2x2 - 4x - 11)

Factoring  7x2-12x-10

The first term is,  7x2  its coefficient is  7 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  -10

Step-1 : Multiply the coefficient of the first term by the constant   7 • -10 = -70

Step-2 : Find two factors of  -70  whose sum equals the coefficient of the middle term, which is   -12 .

     -70    +    1    =    -69

     -35    +    2    =    -33

     -14    +    5    =    -9

     -10    +    7    =    -3

     -7    +    10    =    3

     -5    +    14    =    9

     -2    +    35    =    33

     -1    +    70    =    69

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Answer:

No

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

If (x - 3) is a factor of the polynomial then f(3) = 0

Given

f(x) = 5[tex]x^{5}[/tex] - 3[tex]x^{4}[/tex] + 2x² - 9x + 12 , then

f(3) = 5[tex](3)^{5}[/tex] - 3[tex](3)^{4}[/tex] + 2(3)² - 9(3) + 12

      = 5(243) - 3(81) + 2(9) - 27 + 12

      = 1215 - 243 + 18 - 27 + 12 = 975

Since f(3) ≠ 0 then (x - 3) is not a factor of the polynomial

Answer:

3x-2

Step-by-step explanation:

The algebraic expression is 3x -2.

Algebraic expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have to determine an algebraic expression for "2 less than the product of 3 and a number x"

Here, the product of 3 and a number x

⇒ 3x

Therefore, 2 is less than the product of 3, and a number x as

⇒ 3x -2

Hence, the algebraic expression is 3x -2.

Learn more about an algebraic expression here:

brainly.com/question/13947055

#SPJ2

Answer: g = 90

Step-by-step explanation:

Answer:

62 is the width

Answer:

-13.5

Step-by-step explanation:

trust me

Answer:

40min=3.5miles

40/3.5=1mile

40/3.5×8=8miles

91.428 min

1hr and 31 min

Answer:

let the number is x

-2(x-14) = -42

-2x + 28 =-42

-2x = -70

x= 35

Step-by-step explanation:

Answer:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

Step-by-step explanation:

Took the test

Answer:

Solve for x in simplest form. 4=4/3 (x−6)

x=9

Step-by-step explanation:

Answer: x = 9

Step-by-step explanation: first you distribute the 4/3 to (x-6) by multiply 4/3 to x and to -6. Which will be 4=4/3x-24/3, then you simplify 24/3 which equal s 4=4/3x-8. Cancel the -8 by adding each side by 8, it'll be 4+8=4/3x-8+8. Which equals 12=4/3x. Then you divide each side by 4/3 to cancel the 4/3. 12/(4/3)=x & to divide a fraction you just need to cross multiply the number so it will be (12/1 x 3/4) = 36/4= 9 so x will be = 9.

Answer:

I'm pretty sure the answer is 1.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

If u doing edge the string numbers in the table are -4,-66

-3,-29

-2,-10

-1,-3 and so on hope this helps :)

Answer: 1) AC = 13

The formua does not actually apply to all of the problems.

Step-by-step explanation:

1) The absolute value of -8 is added to the absolute value of 5. 8+5=13

2) Subtract the length of the EF from EG to get the length of FG 21 -6 = 15

3) Take what's given and create an equation to solve. 4x + 15 +39 =110. 4x = 110 - (15+39).

4x =110-54. 4x =56. x=56/4. x=14

4) Create another equation. You have two segments that add up to the length of EG, given =23

EF+FG=EG

(2x-12)+(3x-15)=23

5x - 27 = 23

5x= 23+27 5x =50. x = 10

Substitute 10 for x

EF=2(10) -12 EF=8

FG=3(10)-15. FG=15

EF+FG =EG.

8 + 15 = 23

5) 2/5 of 25 is 10 So EF is 10. Subtract from 25 to get FG

FG = 15

I hope this helps you.

Answer:

AB and ZW

Step-by-step explanation:

if you see the marks on the edges of the Square, you see they have different number of marks. if 2 segments are congruent, they will have the same number of marks on the sides. AB and WX have 3 marks on their side

Answer:

The answer is simply d i did the unit review on edge plz mark me brainliest

Step-by-step explanation:

Answer:

-5 + -4 = -9

Step-by-step explanation:

-5 + -4 = -9

Start at 0.

You will need to move 5 spaces to the left (Negative numbers move to the left while positives go right).

And -4. Move 4 spaces left again. There you land at -9.

The plus sign is just to combine -5 and -4 together.

Thus the answer is:

-5 + -4 is -9.

Here’s why the other equations aren’t correct.

The first equation says “5 + 4 = 9”.

To represent this, you would move 5 spaces to the right (because the number is posititve.)

Then combine 4. Which you move 4 spaces to the right again. This leaves you at 9 instead of -9.

The second equation says “-5 + -9 = -14”.

To represent this, you would move 5 spaces to the left.

Then move 9 spaces to the left again. Which leaves you at -14.

Your final destination should be -9. Not anywhere else.

Answer:

Step-by-step explanation:

mean aka average: (9+9+3+2+8+7+4)/7 = 6

Answer:

6

Step-by-step explanation:

Mean = Sum of the numbers/total no of numbers

There are 7 numbers

[tex]\frac{9+ 9+ 3+ 2+8+ 7+ 4}{7} \\\\= \frac{42}{7} \\\\Divide\\\\= 6[/tex]

Answer:

[tex]L = 111[/tex]

[tex]M = 69[/tex]

Step-by-step explanation:

Given

[tex]L = 12x + 45[/tex]

[tex]M = 18x - 30[/tex]

Required

Determine L and M

Since both angles are supplementary;

[tex]L + M = 180[/tex]

Substitute values for L and M

[tex]12x + 45 + 18x - 30 = 180[/tex]

Collect Like Terms

[tex]12x + 18x= 180 - 45 + 30[/tex]

[tex]30x= 165[/tex]

Divide both sides by 30

[tex]x = \frac{165}{30}[/tex]

[tex]x = 5.5[/tex]

Substitute 5.5 for x in [tex]L = 12x + 45[/tex]  and    [tex]M = 18x - 30[/tex]

[tex]L = 12 * 5.5 + 45[/tex]

[tex]L = 111[/tex]

[tex]M = 18 * 5.5 - 30[/tex]

[tex]M = 69[/tex]

Answer:

y=3sqrt(x)

x≥0

Step-by-step explanation:

The domain of a function refers to all values of x for which y is defined.

Since this is a square root function, we need to keep the expression under the square root sign to be greater than or equal to zero.

As soon as the expression under the root sign is less than zero, the function will not be defined.

This means that the square root of a negative number will not be a real number.

Answer:

did you know that a W is the upside down logo of McDonald's?

okay but seriously though, the answer in -9.1

Answer:

-9.1

Step-by-step explanation:

-2+7.1=-9.1. you just add them together when they are both negatives

Answer:

117

Step-by-step explanation:

216/3=72

216-72=144

144-26=117

Answer: 117

Step-by-step explanation:

First you do 216 divide by 3 to know how many cards he gave his brother. So 216/3 is equal to 72. Then you add 72 to 27 to know the total amount of cards he loses, which is 99. Now you do 216-99 to get 117.

117 baseball cards remain in Ryan's collection.

Answer:

To evaluate a function is to: Replace its variable with a given number or expression.

Step-by-step explanation:

The answer is the first one

an input cant have different outputs

Answer:

Sum of 3 angles in a triangle=180

x+55+72= 180

x+ 127=180

x= 180-127

x= 53

Answer:

63 degrees

Step-by-step explanation:

All angles of a triangle always add up to 180 degrees.

So you take both angles and add them together-55+72=117

You then would take 180 and subtract the total- 180-117=63

And that would be your final answer  

Answer:

[tex]x^{\frac{2}{3} }[/tex]

Step-by-step explanation:

Exponent Rules: [tex](b^m)^n = b^{mn}[/tex]

Exponent Rules: [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]

Step 1: Write expression

[tex]\frac{\sqrt[4]{x^3} }{x^{\frac{1}{12} }}[/tex]

Step 2: Rewrite radical

[tex]\frac{{(x^3)^{\frac{1}{4} }} }{x^{\frac{1}{12} }}[/tex]

Step 3: Multiply powers (numerator)

[tex]\frac{{x^{\frac{3}{4} }} }{x^{\frac{1}{12} }}[/tex]

Step 4: Subtract powers

[tex]x^{\frac{2}{3} }[/tex]

Answer:

b

Step-by-step explanation:

a is not correct because the domain includes negative numbers as well

c is not correct because the domain includes positive numbers as well

and

d is not correct because the range for this function includes ordered pairs from the quadrants I and III (not I and IV)

hope this helps :)

Answer:

x=2.25

x= 9/4 x=2 1/4 x= (3/2)^2 these are all possible answers in different forms.

Step-by-step explanation:

Answer:

1,298

Step-by-step explanation:

Step 1:

1,278 + 20

Answer:

1,298

Hope This Helps :)

Answer:

1298

Step-by-step explanation:

20+1278=1298