Which expression is a prime polynomial? A.x+9y^2 B. 3m+9n C. 8x^7-9x+12x^2 D. x^9-y^6

Which Expression Is A Prime Polynomial? A.x+9y^2 B. 3m+9n C. 8x^7-9x+12x^2 D. X^9-y^6

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Answer 2

A prime polynomial is simply an irreducible polynomial.

[tex]\mathbf{x + 9y^2}[/tex] is a prime polynomial

First, we test the options.

[tex]\mathbf{x + 9y^2}[/tex]

The above function cannot be reduced further.

Hence, [tex]\mathbf{x + 9y^2}[/tex] is a prime polynomial

[tex]\mathbf{3m + 9n}[/tex]

Factor out 3

[tex]\mathbf{3(m + 3n)}[/tex]

[tex]\mathbf{3m + 9n}[/tex] is not a prime because it can be factored as [tex]\mathbf{3(m + 3n)}[/tex]

[tex]\mathbf{8x^7 - 9x + 12x^2}[/tex]

Factor out x

[tex]\mathbf{x(8x^6 - 9 + 12x)}[/tex]

[tex]\mathbf{8x^7 - 9x + 12x^2}[/tex] is not a prime because it can be factored as [tex]\mathbf{x(8x^6 - 9 + 12x)}[/tex]

Hence, [tex]\mathbf{x + 9y^2}[/tex] is a prime polynomial

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Related Questions

Round 721295.198715 to the nearest ten.

Answers

Answer: 721295.2

Step-by-step explanation:

Already rounded to the nearest tenth.

721295.2

pls give me brainliest it will mean a lot to me.

Answer:

721295.20- tenth

721300= tens spot

Step-by-step explanation:

tenth ? or tens place??

two times a number added to another number is 20. three times the first number minus the other number is 20. find the numbers

Answers

Answer:

y=7

Step-by-step explanation:

We have two numbers,  

x

,

y

. We know two things about them:

2

x

+

y

=

25

3

x

y

=

20

Let's add these two equations together which will cancel the  

y

:

5

x

+

0

y

=

45

x

=

45

5

=

9

We can now substitute in the  

x

value into one of the original equations (I'll do both) to get to  

y

:

2

x

+

y

=

25

2

(

9

)

+

y

=

25

18

+

y

=

25

y

=

7

3

x

y

=

20

3

(

9

)

y

=

20

27

y

=

20

Does the following represent a proportional relationship? y = 4x + 6 O Yes O No ​

Answers

Answer:

Yes

Step-by-step explanation:

Simplify 4a^3 b^2 x 6a^6b^9

Answers

Answer:

24a^9 b^11

Step-by-step explanation:

[tex]4a ^{3} b ^{2} \times 6a ^{6} b ^{9} \\ = (4 \times 6)a ^{3 + 6}b ^{2 + 9} \\ = 24a^{9} b^{11} [/tex]

3.
Solve the formula for the area of a parallelogram the height, h.
A=b xh
h =
(use the / symbol to show division)

Answers

Answer:

The answer would be A/B=H

Step-by-step explanation:

To get rid of the B that is connected to the H, you would do the opposite of what they used. Meaning since the two were multiplied you would divide them. So, you would take your b and divide it on both sides of the equal sign. B and B cancels each other out so you are left with A/B which equals H.

HELP ILL GIVE YOU BRAINLEST!!!!!!!!

Conduct online research about a career that you are interested in pursuing. Write a short report about the type of math skills necessary for that career role as well as the type of classes you could take to acquire such skills.

Answers

A career in interesting in pursuing is becoming a family medicine physician. The math required is Trigonometry, Calculus I & II, liberal algebra, statistics and probability. For trigonometry i can learn it in geometry, for calculus i’m able to learn it in Calculus class, I can learn Liberal algebra in algebra II, and i can learn statistics and probability in statistics classes

hope this is what you needed

Find the two smallest positive solutions for x in the equation 12cos(2pi/5 x)+10=16, when (2pi/5 x) is in radians.

Answers

The correct answer is: c) 1/3, 5/3 The cosine function has a period of 2π, meaning it repeats every 2π radians.

To find the solutions for x in the equation 12cos(2x) + 10 = 16, we can solve it algebraically. Let's begin:

12cos(2x) + 10 = 16

Subtract 10 from both sides:

12cos(2x) = 6

Divide both sides by 12:

cos(2x) = 1/2

Now, we want to find the two smallest positive solutions for cos(2x) = 1/2. The cosine function has a period of 2π, meaning it repeats every 2π radians. We are looking for solutions in the range of 0 to 2π.

The cosine function has values of 1/2 at two specific angles: π/3 and 5π/3.

So, we can set up the following equations:

2x = π/3 and 2x = 5π/3

Solving for x in each equation:

For 2x = π/3:

x = π/6

For 2x = 5π/3:

x = 5π/6

Thus, the two smallest positive solutions for x in the equation 12cos(2x) + 10 = 16 are x = π/6 and x = 5π/6.

Therefore, the correct answer is:

c) 1/3, 5/3

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Compute the expected value for X.
0 Y 1 2 1 0.10 0.05 0.02 2 0.12 0.10 0.16 3 0.06 0.11 0.28

Answers

The expected value for X is 1.56.

Expected value is the mean value that we would expect if we conducted the same experiment many times and recorded the result of each trial. This formula is used to calculate the expected value for X.

This formula is used to calculate the expected value for X:E(X) = Σ [ xi * P(xi) ] where xi represents the value of X, and P(xi) is the probability of X taking the value xi.

The value of xi is multiplied by its corresponding probability and then summed over all the values of X.

This gives the expected value of X. Now, let us use the formula to calculate the expected value of X:

E(X) = (0 * 0.10) + (1 * 0.05) + (2 * 0.02) + (1 * 0.12) + (0 * 0.10) + (2 * 0.10) + (3 * 0.16) + (0 * 0.06) + (1 * 0.11) + (2 * 0.28)E(X) = 0 + 0.05 + 0.04 + 0.12 + 0 + 0.20 + 0.48 + 0 + 0.11 + 0.56E(X) = 1.56

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Solve inequality and graph solution 3>4x-1

Answers

Answer: x < 1

--------------------    

What mistake did I make ?. Pleasee help me

Answers

Answer:

you did something wrong in step 3

the correct way is

x= 1.1+7.7

= 8.8

simplify the expression
algebra 2 high school math part 2 ​

Answers

Answer:

6x^3y^2z  sqrt.6xyz

Step-by-step explanation:

Answer:

Step-by-step explanation:

The z's have a line across them

Solve: X = -3y - 17 2x + 3y = -7​

Answers

Answer:

X = 2 x − 10

 y = − 2 /x 3 − 7 /3

Step-by-step explanation:

To get this you must solve y first. There are no variables to x so find y and put it into the equation. Substitute it and find X

Answer:

x = 10, y = - 9

Step-by-step explanation:

Given the 2 equations

x = - 3y - 17 → (1)

2x + 3y = - 7 → (2)

Substitute x = - 3y - 17 into (2)

2(- 3y - 17) + 3y = - 7 ← distribute and simplify left side

- 6y - 34 + 3y = - 7

- 3y - 34 = - 7 ( add 34 to both sides )

- 3y = 27 ( divide both sides by - 3 )

y = - 9

Substitute y = - 9 into (1) for corresponding value of x

x = - 3(- 9) - 17 = 27 - 17 = 10

Evaluate the following expression using the order of operations.
2[18−(5+3² )÷7]

Answers

Step-by-step explanation:

2[18-(5+3^2)÷7]

= 2[18-(5+9)÷7]

= 2[18-14÷7]

= 2[18-2]

= 2of16

=2×16

= 32

Answer:

ibjjjjjjjjn    ihbuuxzxy

Step-by-step explanation:

Diana bought two dolls for her nieces.How much did each doll cost,if she purchased them for $70

Answers

Answer:

each doll cost $35

Answer:

The dolls cost $35 dollars each

Step-by-step explanation:

Because $70 ÷ 2 dolls = $35 dollars each

(sorry if wrong!)

someone please answer this !! thank you!

Answers

Answer: answer 4

Step-by-step explanation:

2(x  2  −1)+3x(x−4)

Use the distributive property to multiply 2 by x ^2   −1.

2x^2 −2+3x(x−4)

Use the distributive property to multiply 3x by x−4. 2

2x^2  −2+3x  2  −12x

Combine 2x^ 2   and 3x ^2   to get 5x ^2  .

5x  2  −2−12x

Then put it in its formula order and you get

5x^2 -12x -2

kinda hard to do with it in this but i hope this helps

Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54.

Which equation can be used to find the number of pennies Ari has?

A. 0.01p + 0.05(0.54 – p) = 22
B. 0.01p + 0.05(22 – p) = 0.54
C. 0.01p + 1.1 = 0.54
D. p + 5(22 – p) = 0.54

Answers

answer:

B. 0.01p + 0.05(22 – p) = 0.54

(got it correct on edgenuity)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

y=-5x + 2;(0,9)
The equation is y =

Answers

Answer:

y=-5x+9

Step-by-step explanation:

y=-5x+2

Subsitute:

9=-5(0)+b

9=b

y=-5x+9

I'm not sure if this is the answer you want but here :)

What is equilvilent to `y=x^{2}+8x+18`

Answers

Answer: Subtract 16 16 from 18 18 . Substitute the values of a a , d d , and e e into the vertex form (x+4)2+2 ( x + 4 ) 2 + 2 .

Step-by-step explanation:

i ain't 100 percent sure

Did I finally do this correctly?

Answers

Answer: Yea, Good job :)

Step-by-step explanation:

does any one else have to do edgenuity

Answers

Answer:

me i hate it but it not that hard tho

Step-by-step explanation:

yup but you can find almost all the answers online

PLEASE HELP URGENT!!!!!!
The sum of 3 numbers is 145. Seven times the second number is twice the first number and twice the second number is six times the third number.

Write the new ratio of the three numbers if the second number doubles and the third number is increased by one less than one fifth of the first number.

Answers

Answer:

[tex]7:4:2[/tex]

Step-by-step explanation:

Assign variables for the 3 numbers. Let the first number be x, the second number be y, and the third number be z.

"The sum of the 3 numbers is 145", therefore:

[tex]x+y+z=145[/tex]                                                          [tex]\text{Equation I}[/tex]

"Seven times the second number is twice the first number":

[tex]7y=2x[/tex]                                                                      [tex]\text{Equation II}[/tex]

"Twice the second number is six times the third number":

[tex]2y=6z[/tex]                                                                      [tex]\text{Equation III}[/tex]

We can solve for x, y and z using this system of equations. Let's solve for y in the first equation by putting the other variables in terms of y in Equations II and III.

Solve for x in [tex]\text{Equation II}[/tex]:

[tex]x=\frac{7}{2}y[/tex]

Solve for z in [tex]\text{Equation III}[/tex]:

[tex]z=\frac{2}{6} y= \frac{1}{3} y[/tex]

Substitute these values into [tex]\text{Equation I}[/tex] to solve for y.

[tex]\frac{7}{2} y+y+\frac{1}{3} y=145[/tex]

Combine like terms using common denominators. The least common denominator is 6. Multiply [tex]\frac{7}{2} y[/tex] by [tex]\frac{3}{3}[/tex], multiply [tex]y[/tex] by [tex]\frac{6}{6}[/tex], and multiply [tex]\frac{1}{3} y[/tex] by [tex]\frac{2}{2}[/tex] to make all of the denominators = 6.

[tex](\frac{3}{3})\frac{7}{2} y +(\frac{6}{6})y+(\frac{2}{2})\frac{1}{3} y=145[/tex] [tex]\frac{21}{6}y + \frac{6}{6}y + \frac{2}{6}y=145[/tex]  

Add the fractions together.

[tex]\frac{29}{6}y=145[/tex]

Solve for y by multiplying both sides by [tex]\frac{6}{29}[/tex].

[tex]y=145(\frac{6}{29} )= \frac{870}{29} =30[/tex]

We have found that y = 30. Now we can use this known value in order to solve for both x and z in Equations II and III.

[tex]\text{Equation II}:[/tex]

[tex]7y=2x[/tex][tex]7(30)=2x[/tex] [tex]210=2x[/tex] [tex]105=x[/tex] [tex]x=105[/tex]

[tex]\text{Equation III}:[/tex]

[tex]2y=6z[/tex] [tex]2(30)=6z[/tex] [tex]60=6z[/tex] [tex]10=z[/tex] [tex]z=10[/tex]    

We have found that x = 105, y = 30, and z = 10. Now we can write the new ratio of these 3 numbers:

"Write the new ratio of the three numbers if the second number doubles and the third number is increased by one less than one fifth of the first number":

[tex]2y[/tex][tex]z+ (\frac{1}{5} x-1)[/tex]

The question asks for the new ratio once we evaluate these expressions. The variable x is the only one that stays the same at the end: 105.

[tex]2(30)=60[/tex][tex](10)+[\frac{1}{5} (105)-1 ]\\ (10) + (21-1 )\\ (10)+(20)=30[/tex]

Our final numbers are x = 105, y = 60, and z = 30. We can create the ratio between these numbers by fully simplifying them. Right now we have [tex]x:y:z=105:60:30[/tex]. Start by dividing all of the numbers by 5.

We get [tex]21:12:6[/tex]. This ratio can be simplified further by dividing all of the numbers by 3. We then get the ratio of: [tex]7:4:2[/tex].

This ratio cannot be simplified any further, therefore, it is the new ratio of the three numbers.

A scuba diver descends 120 feet underwater in 5 minutes. What is the scuba diver's rate?

Answers

The scuba diver's rate is 24 feet per minute.

What is Rate of change?

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

Here, total distance covered underwater = 120 feet.

total time taken = 5 minutes.

Rate change = Distance covered / Time taken

                      = 120 / 5

                      = 24 ft per minute.

Thus, The scuba diver's rate is 24 feet per minute.

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3 15/16÷2 1/4 what is the answer please

Answers

Answer:

Step-by-step explanation:

÷

Answer:

3 15/16 ÷ 2 1/4 = 1 3/4


Answer in decimal form:

1.75

Given the project within the table below, calculate the following: Activity Predecessor Time (days) A 7.5 B 9.7 C 10.5 D 8.8 E 10 F 4.2 G 9.7 H G 11.5 a. What is the project length? [ Select ] b. What activities are on the critical path? [Select ] c. How much slack is in activity A? [ Select] and activity B? [ Select] LL ļ A, C D B, E TI F

Answers

Based on the provided table, we can calculate the project length, identify the activities on the critical path, and determine the slack for activities A and B.

a. To calculate the project length, we need to determine the longest path through the project network.

This path is known as the critical path and represents the minimum time required to complete the project.

By summing up the durations of all activities on the critical path, we can find the project length.

b. Activities on the critical path are those that directly contribute to the project length. Any delay in these activities would cause a delay in the overall project completion.

By analyzing the dependencies and durations of the activities, we can identify which ones fall on the critical path.

c. Slack refers to the amount of time an activity can be delayed without delaying the project's overall completion. It is calculated by finding the difference between the latest start time and the earliest start time for each activity. For activities A and B, we can determine the slack by comparing their earliest and latest start times.

By performing the necessary calculations and analysis, we can provide the specific answers for the project length, critical path activities, and the amount of slack for activities A and B.

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On a​ map, 1 inch equals 11.4 miles. Two houses are 1.5 inches apart on the map. What is the actual distance between the​ houses?

Answers

Answer: 17.1

Step-by-step explanation:

U do 11.4/2 then u add that number to 11.4 and get your answer

1. Suppose you are doing an F-test to test the following hypothesis: H
0


1

=0&β
2

=0&β
s

=0&β
4

=0 How many of these restrictions would need to be violated in order to reject the null hypothesis?

(a) 0
(b) 1
(c) 2
(d) 3
(e) 4

Answers

In an F-test, the null hypothesis typically states that all specified coefficients are equal to zero. In this case, the null hypothesis is:

H0: β1 = 0, β2 = 0, βs = 0, and β4 = 0

To reject the null hypothesis, we need to find evidence that at least one of these restrictions is violated. This means that if we can show that any one of the coefficients (β1, β2, βs, or β4) is significantly different from zero, it would provide sufficient evidence to reject the null hypothesis.

Therefore, if any one of these restrictions is violated, meaning that its corresponding coefficient is not equal to zero, it would lead to rejecting the null hypothesis. In this case, only one violation among β1, β2, βs, or β4 is needed to reject the null hypothesis. Hence, the correct answer is:

(b) 1

It's important to note that the specific restriction that is violated can be different for each case, but as long as one restriction is violated, we have enough evidence to reject the null hypothesis in an F-test.

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6x² + 73 + 8x5 + 9
What is the degree of the polynomial?

Answers

5 would be the degree

Answer:

when it is simplify it is 12×+122

which of these is not an outcome? a.) drawing a king of diamonds from a standard deck of cards b.) rolling a 4 on a die c.) flipping heads on a coin d.) rolling an even number that is less than 2 on a die

Answers

d) Rolling an even number that is less than 2 is not a valid outcome when rolling a die.therefore, option d) is correct.

The outcome that is not possible is (d) rolling an even number that is less than 2 on a die.

A standard die has six sides numbered from 1 to 6, and all the even numbers on a standard die are 2, 4, and 6.

The statement "rolling an even number that is less than 2" contradicts the fact that the lowest even number on a die is 2.

Thus, it is not possible to roll an even number that is less than 2 on a standard die, making it an invalid outcome.

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I need 20 characters but please help

Answers

Answer: the slope is m = 3/5 and the

y-intercept point:  (0 , [tex]-\frac{13}{5}[/tex] )

Step-by-step explanation:

Answer:

Slope: 3/5, y-intercept: -13/5

Step-by-step explanation:

In slope intercept form (y=mx+b), the slope is the coefficient in front of x (m), and the y intercept is b. Let's simply the equation into slope intercept to find the slope and y intercept.

3x - 5y = 13

-5y = -3x + 13

y = 3/5x - 13/5

So the slope is 3/5 and the y-intercept is -13/5

.Find the area of the region that lies under the parabola y=5x - x^2, where 1≤x≤4.

Answers

The area of the region under the parabola y = 5x - x^2, where 1 ≤ x ≤ 4, is 14.33 square units.

To find the area under the parabola, we need to integrate the equation y = 5x - x^2 with respect to x over the given interval [1, 4]. The integral represents the area between the curve and the x-axis.

Integrating y = 5x - x^2 gives us the antiderivative F(x) = (5/2)x^2 - (1/3)x^3 + C, where C is the constant of integration. To find the definite integral over the interval [1, 4], we evaluate F(4) - F(1).

F(4) = (5/2)(4)^2 - (1/3)(4)^3 + C = 40 - (64/3) + C

F(1) = (5/2)(1)^2 - (1/3)(1)^3 + C = 5 - (1/3) + C

Substituting these values into the definite integral expression, we have:

Area = F(4) - F(1) = (40 - (64/3) + C) - (5 - (1/3) + C)

= 14.33

The area of the region under the parabola y = 5x - x^2, where 1 ≤ x ≤ 4, is approximately 14.33 square units.

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Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost among the 24 of them if anxiety is reduced as a result of avoiding a feared object, the avoidance will be repeated because it has been: Historical interest rates are fascinating, perhaps because they look so similar to todays interest rates. Nowadays, typical interest rates range from 2% to 20% (depending on other factors). For over 2,500 years, from about the thirtieth century B.C.E. to the sixth century B.C.E., normal interest rates in Sumer and Babylonia hovered around 1025% per annum, though 20% was the legal maximum. In ancient Greece, interest rates in the sixth century B.C.E. were about 1618%, dropping steadily to about 8% by the turn of the millennium. Interest rates in ancient Egypt tended to be about 1012%.In ancient Rome, interest rates started at about 8% in the fifth century B.C.E. but began to increase to about 12% by the third century A.C.E. (a time of great upheaval). When lending resumed in the late Middle Ages (twelfth century), personal loans in England fetched about 50% per annum, though they tended to hover between 1020% in the rest of Europe. By the Renaissance, commercial loan rates had fallen to 515% in Italy, the Netherlands, and France. By the seventeenth century, even English interest rates had dropped to 610% in the first half, and to 3 6% in the second half. Mortgage rates tended to be lower yet. Most of the American Revolution was financed with French and Dutch loans at interest rates of 45%.RequiredOf late Kenyans have been losing money through investments that have been promising unbelievably high returns in excess of 50% p.a. with reference to the case above write a report advising Kenyans on risk and return in investments. 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Why is the balance of water molecules inside and outside the cell is extremely important for the survival of all organisms, including humans? Plz answer me will mark as brainliest You are given that a wheel has a radius of 2 feet and a spin rate of 10 revolutions per minute. Describe how you would determine the linear velocity, in feet per minute, of a point on the edge of the wheel. State the linear velocity of the wheel, and explain why your answer is reasonable. Abbie's teacher told her she should not use all simple sentences because it makes her writing choppy. Which shows revisions that would correct this problem? A) I went to the Magnolia Mall in Silver City. I went shopping. I went home. I went to bed. B) We went to the movies, and then we went to the mall. After that, we stopped at Cleo's Barbecue for dinner and ordered the daily special. C) Joanna, Cynthia, Jayla, Bonnie, and Lexie went to the mall. They went shopping. They went out to eat at Antonio's Pizzeria. They did not get home until after 11 p.M. D) Cleo's Barbecue has delicious food. Antonio's Pizzeria has delicious food. Everyone likes the food at Cleo's Barbecue. Everyone likes the food at Antonio's Pizzeria. help me with this pls I dont wanna fail again Solve the system of inequalities by graphing. y S -3x - 1 y >3x - 2. 5 If a company completes a stock split (2/1), you can expect the price per share to A be the same as before B be worth half as much as before C be worth double 6 What is the instrument used to switch the interest rate risk on your existing mortgage 7 What derivative gives you the right, but not the obligation, to lock in a future price ? 8 A bond that unsecured (ie no claim to a specific asset in bankrupcy) is known as a The following function was entered into cell E9 on an Excel worksheet: =EOMONTH(D4,4) If the date 10/20/2020 was entered into cell D4, which of the following will be the output in cell F9 after proper formatting is applied? a 2/28/2021 b 1/31/2021 c 10/25/2020 d 6/30/2020 e 3/31/2021