What do the properties of polynomial addition mean? Complete each statement.

The closure property states that the sum of two polynomials is a
.

The commutative property states that changing the order of two or more terms

the value of the sum.

The associative property states that the way in which two or more terms are grouped in a sum

the value.

Answer:

90°

45°

45°

90°

Step-by-step explanation:

this is a square all the sides and angles are equal .

all angles being 90°.

and all diagonals of a square are also 90°

Answer:

Step-by-step explanation:

-6x+5y=11

If x= -1 replace x with -1

-6(-1)+5y=11

6+5y=11  subtract 6 from both sides

5y=5  divide by 5

y=1

Answer:

Sub in the value, 6mutiplied by -1 is 6 so 6+5y=11. Subtract 6 from both sides. 5y=5

Y=1

X=-1

(-1,1)

Answer:

1, 2, 3, 6, 9, 18. Factors of 21: 1, 3, 7. The highest number that both sets contain is 3, so the GCF will be 3.

Step-by-step explanation:

Answer:

The equation to solve the problem is

306 = 249 + x

x = 306 - 249

Hence:

57 students went outside

Step-by-step explanation:

Let the number of students outside be represented by x

Hence:

Number of students in the cafeteria = Number of students inside - Number of students who went outside

We are told:

There were 306 students in the cafeteria. After some went outside, there were 249 students left in the cafeteria.

The equation to solve the problem is given as:

306 = 249 + x

x = 306 - 249

Hence:

x = 57

57 students went outside

Step-by-step explanation:

That's what I got.

Hope that was helpful

Answer:

[tex]\boxed{x^4 + x^2 + x}[/tex]

Step-by-step explanation:

[tex]\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}[/tex]

[tex]= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}[/tex]

[tex]= x^4 + x^2 + x[/tex]

.

Happy to help :)

Un objeto cae accidentalmente de un vehículo con una velocidad de

50 km / hy recorra 20 m antes de detenerse.

Calcular:

a) La aceleración:

b) El tiempo que tarda en detenerse:

Responder:

1.439 s

-9,645 m / s²

Explicación paso a paso:

Dado que:

Velocidad en m / s = (50 * 1000) / 3600 = 13.899 m / s

Distancia (d) = 20

Tiempo = distancia / velocidad

Tiempo = 20 / 13.889

Tiempo = 1.439 s

Aceleración (a):

Cambio de velocidad / tiempo empleado

= (0 - 13,889) / 1,439

- 13.889 / 1.439

= -9,645 m / s²

Answer:

Pls See the photo

Step-by-step explanation:

Hope u like it

Answer:

His son is 10 and his father is 30.

Step-by-step explanation:

Let the age of his son be x and his father's age be 3x.

5(x-5) = 3x-5

5x-25 = 3x-5

5x-3x = 25-5

2x = 20

x = 10

3x = 10 × 3

    = 30

Answer:

107°

73°

Step-by-step explanation:

Let the two supplementary angles be x° and y°.

x + y = 180....(1)

Since, supplementary angles differ by 34.

Therefore,

x - y = 34....(2)

Adding equations (1) & (2)

x + y = 180

x - y = 34

_________

2x = 214

x = 214/2

x = 107°

Plug x = 107 in equation (1)

107 + y = 180

y = 180- 107

y = 73°

Answer:Yes

Step-by-step explanation:

Carmela:3/4/3=1/4 per mile

Hari:1/2/2=1/4 per mile

Answer:

8 chocolate cookies

Step-by-step explanation:

2+3 = 5

20/5=4

4x2

8

Answer:

Step-by-step explanation:

Combined, it is option C.  {x | x < -4 or x > 4}

Answer:

3/8

Step-by-step explanation:

[tex]slope = \frac{4 - 1}{8 - 0} = \frac{3}{8} \\ [/tex]

Answer:

0.375

Step-by-step explanation:

slope = Y2-Y1/X2-X1

slope = 4-1/8-0

slope = 3/8

slope = 0.375

Hope that helps!

Answer:

the LCM is 864

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Answer:

Please check the explanation

Step-by-step explanation:

Given the sequence

[tex]3,-9,27,-81,...[/tex]

A geometric sequence has a constant ratio and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

Computing the ratios of all the adjacent terms

[tex]r=\frac{a_n+1}{a_n}[/tex]

[tex]\frac{-9}{3}=-3,\:\quad \frac{27}{-9}=-3,\:\quad \frac{-81}{27}=-3[/tex]

The ratio of all the adjacent terms is the same and equal to

[tex]r=-3[/tex]

Therefore, the common ratio is:

Determining the sum of 1st five terms

As the first element is

[tex]a_1=3[/tex]

[tex]r=-3[/tex]

Geometric sequence sum formula is given by

[tex]a_1\frac{1-r^n}{1-r}[/tex]

Plugin the values

[tex]n=5,\:\spacea_1=3,\:\spacer=-3[/tex]

[tex]a_1\frac{1-r^n}{1-r}=3\cdot \:\frac{1-\left(-3\right)^5}{1-\left(-3\right)}[/tex]

            [tex]=3\cdot \frac{1-\left(-3\right)^5}{1+3}[/tex]

             [tex]=\frac{\left(1-\left(-3\right)^5\right)\cdot \:3}{1+3}[/tex]

             [tex]=\frac{732}{1+3}[/tex]       ∵

             [tex]=\frac{732}{4}[/tex]

              [tex]=183[/tex]

Therefore, the sum of the first five terms of the sequence is: 183        

Answer:

x=24ft.............

Answer:

x = 24 ft.

Step-by-step explanation:

The 13 and the 5 and both multiplied by 2 to find the lengths of the second triangle. So, the 12 should also be multiplied by 2 to find the value of x:

12 * 2 = 24

x is 24 ft.

Answer:

Step-by-step explanation:

This is a linear relationship which means that it follows the equation;

y = mx + c

y will be the total after some months so will be $800

m will be the number of months

x is the amount the account increases by every month which is $50 here

c is the amount in the account before the $50 started being added which is $250.

800 = 50m + 250

50m = 800 - 250

m = (800 - 250) / 50

m = 11 months

Answer:

Slope is 4/3

Step-by-step explanation:

We need to turn this into slope intercept form to find the slope,

slope intercept form is y=mx+b, we just need to "rearrange" the problem using reverse operations and get our slope

4x+3y=2      

4x-4x+3y=2-4x  subtract 4x from both sides ⇒ 3y=4x-2

we need to get rid of the 3, so divide both sides by 3

[tex]\frac{3y}{3} =\frac{4x-2}{3}[/tex]        and we get

y=4/3x-2/3

Our slope is 4/3

feel free to ask any questions or comments

Answer:

135 mins/2hr 15min

Step-by-step explanation:

108 divided by 3=36 so 45 multiplied by 3 which equals 135 please pick brainliest.

Answer:

$0.75

Step-by-step explanation:

To find the answer multiply the amount of money earned by the percentage $14.98 and 5%

turn the percentage into a decimal. divide the number of the percentage by 100 5/100=0.05

multiply this by the amount of money to get 0.05*14.98=0.749. then round answer to two decimal places to get $0.75

Answer:

$0.75

Step-by-step explanation:

Answer:

3y

Step-by-step explanation:

A term is a mathematical expression, in this case a number multiplied by a variable.

Like terms would mean anything that is equal to 3x.

Because 3 is a constant number, any like terms have to have the number 3 in it, so we can eliminate 5x, -2x, 7y, and x because they don't have a 3.

y is a variable which is a stand-in for an unknown number, and it can be switched out with any one variable. That means the only possible answer is 3y

Answer:

y = 5

x = 10

Step-by-step explanation:

-4(2y) + 11y

-8y + 11y = 15

3y = 15

/ 3 /3

y = 5

x = 10

Answer:x=0,5

Step-by-step explanation:

6x -1/2=1

6x-1=1.2

6x-1=2

6x=2+1

6x=3

x=3/6

x=0,5

Answer:

a

  [tex]P(X = 2) =  0.2547[/tex]  

b

  [tex]P(X > 2) =  0.5623 [/tex]  

c

   [tex]P(2 \le X  \le 5 ) = 0.7817 [/tex]

Step-by-step explanation:

From the question we are told that

   The  proportion of US adults who say that they are likely to make purchase during a sale tax holiday is  

         [tex]p = 0.28[/tex]

  The  sample size is  n  =  10  

Generally the distribution of US adults who say that they are likely to make purchase during a sale tax holiday, follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the probability number of adult is exactly 2 is mathematically represented as

     [tex]P(X = 2) =  ^{10}C_2 *  (0.28)^2 *  (1- 0.28)^{10-2}[/tex]  

=>  [tex]P(X = 2) =  45 *  0.0784 * 0.0722[/tex]  

=>  [tex]P(X = 2) =  0.2547[/tex]  

Generally the probability number of adult is more than 2 is mathematically represented as

    [tex]P(X > 2) =  1- [P(X \le  2) ][/tex]  

    [tex]P(X > 2) =  1- [[P(X = 0)] +[P(X = 1) ] + [P(X = 2)] ][/tex]  

=>  [tex]P(X > 2) =  1- [^{10}C_0 *  (0.28)^0 *  (1- 0.28)^{10-0}] +[^{10}C_1 *  (0.28)^1 *  (1- 0.28)^{10-1}] + [^{10}C_2 *  0.28^2 *  (1- 0.28)^{10-2}] ][/tex]  

=>  [tex]P(X > 2) =  1- [0.0374 + 0.1456 + 0.2547 [/tex]  

=>  [tex]P(X > 2) =  0.5623 [/tex]  

Generally the probability number of adult is between two and​ five, inclusive is mathematically represented as

    [tex]P(2 \le X  \le 5 ) =  [P(X = 2 ) + P(X = 3 ) +P(X = 4) + P(X= 5 )] [/tex]

=>  [tex]P(2 \le X  \le 5 ) =  [[^{10}C_32 *  0.28^2 *  (1- 0.28)^{10-2}] + [^{10}C_3*  0.28^3 *  (1- 0.28)^{10-3}] +[^{10}C_4 *  0.28^4 *  (1- 0.82)^{10-4}] + [^{10}C_5 *  0.28^5 *  (1- 0.28)^{10-5}]] [/tex]

=>  [tex]P(2 \le X  \le 5 ) =  [[0.2547] + [120*  0.02195 *  0.1003] +[210 *  0.00615 *  0.1393] + [252 *  0.0017 *  0.1935]] [/tex]

=>  [tex]P(2 \le X  \le 5 ) =  [[0.2547] + [0.2642] +[0.1799] + [0.0829] [/tex]

=>  [tex]P(2 \le X  \le 5 ) = 0.7817 [/tex]

Answer:

3.

Step-by-step explanation:

Answer:

x² + 5x - 2 = 0

Step-by-step explanation:

The standard form of a quadratic equation is ax² + bx + c = 0 (a ≠ 0 )

Given

x(x + 5) = 2 ← distribute left side

x² + 5x = 2 ( subtract 2 from both sides )

x² + 5x - 2 = 0 ← in standard form

Answer:

the answer is W i think

Step-by-step explanation:

Step-by-step explanation:

I'm not entirely sure what you mean by "from the origin", but hopefully this helps.

The distance formula for a Cartesian coordinate system (your standard x-y graph) is [tex]d=\sqrt{(x1-x2)^{2}+(y2-y1)^{2}}[/tex].

If you're measuring "from the origin", that just means one of your points is (0,0).

For example, if you were to measure between the origin and the point (1,4) your formula would look like this:

[tex]d=\sqrt{0-1)^{2}+(0-4)^{2}}\\d=\sqrt{(-1)^{2}+(-4)^{2}} \\d=\sqrt{1+16} \\d=\sqrt{17}[/tex]

So, the distance between the origin and (1,4) is [tex]\sqrt{17}[/tex].

I hope this helps! Please let me know if you have any other questions!

Answer:

D.

Step-by-step explanation:

That is the only answer provided.

The easiest way to do this is to start with the power of 5 that is just under 219.

125 would be the closest power of  5

Now subtract 125 from 219 = 94

=====================

The highest power of 5 closest to 94 is 25. You have to multiply 25 * 3 to get a number close enough to 94 that leaves a remainder under 25

94 - 75 = 19

=======================

19 - 3 * 5 = 4 Same argument as above.

219_10 = 1334_5

Answer:

b = -152

Step-by-step explanation:

I hope this helps!