Please help ASAP! giving BRAINLIEST if correct! What is the factorization of the polynomial below?

Please Help ASAP! Giving BRAINLIEST If Correct! What Is The Factorization Of The Polynomial Below?

Answers

Answer 1

Answer:

2(x+6)(x+6)

Step-by-step explanation:

splitting the middle term:

2x²+12x+12x+72

then2x(x+6)+12(x+6)

=(2x+12)(x+6)

=2(x+6)(x+6)(by takin common factor out)

plzz mark me brainliest


Related Questions

Nora wants to put new glass in her window

If her window measures 34 inches by 48 inch

What is the area of the glass that she will need

Answers

Answer:

1632 inches squared

Step-by-step explanation:

Hi!

So the formula for area is length times width.

So you would multiply the length by the width which is 34 times 48 to get the area which is 1632 in squared.

Hope this helps!

Consider the function below. (If an answer does not exist, enter DNE.) f(x) = 1 2 x4 − 4x2 + 5 (a) Find the interval of increase. (Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) Find the local maximum value(s). (Enter your answers as a comma-separated list.) (c) Find the inflection points.

Answers

Answer:

Please, read the answer below.

Step-by-step explanation:

You have the following function:

[tex]f(x)=12x^4-4x^2+5[/tex]

(a) To find the intervals of increase or decrease of f(x) you first calculate the derivative of f(x):

[tex]\frac{df}{dx}=\frac{d}{dx}[12x^4-4x^2+5]\\\\\frac{df}{dx}=12(4)x^3-4(2)x=48x^3-8x[/tex]   (2)

Next, you equal the derivative to zero and obtain the roots of the obtained polynomial:

[tex]48x^3-8x=0\\\\6x^3-x=0\\\\x(6x^2-1)=0[/tex]

Then, you have the following roots for x:

[tex]x_1=0\\\\x_{2,3}=\pm \sqrt{\frac{1}{6}}[/tex] =  ±0.40

Hence, there are three special points.

Next, you evaluate the derivative (expression (2)) for the x values close to the x1, x2 and x3. The values of the derivative give to us the value of the slope of a tangent line in that point, and so, if the function increases or decreases:

First interval, for a number lower than -0.40

[tex]48(-0.41)^3-8(-0.41)=-0.02<0[/tex]

The function decreases in the interval:

[tex](-\inft,-\frac{1}{\sqrt{6}})[/tex]

It is necessary that after x=-0.40 the function increases until the next special point, that is x=0. Then, the interval in which the function increases is:

[tex](-\frac{1}{\sqrt{6}},0)[/tex]

By symmetry, from the point x=0 until x=0.40 the function decreases.

[tex](0,\frac{1}{\sqrt{6}})[/tex]

Next, you evaluate the expression (2) for a number higher than 0.40:

[tex]48(0.41)^3-8(0.41)=0.02>0[/tex]

Then, the function increases for the following interval:

[tex](\frac{1}{\sqrt{6}},+\infty)[/tex]

(b) Due to the results obtained in the previous step you can conclude that the local minimum are:

[tex]x_{min}=-\frac{1}{\sqrt{6}}\\\\x_{min}=\frac{1}{\sqrt{6}}[/tex]

[tex]P_1(-\frac{1}{\sqrt{6}},f(-\frac{1}{\sqrt{6}}))=P_1(-\frac{1}{\sqrt{6}},4.66)\\\\P_2(\frac{1}{\sqrt{6}},f(\frac{1}{\sqrt{6}}))=P_2(\frac{1}{\sqrt{6}},4.66)[/tex]

[tex]P_1(-\frac{1}{\sqrt{6}},0)\\\\P_2(\frac{1}{\sqrt{6}},0)[/tex]

(these are the point in which the function change of a decrease to an increase)

The same reason as before. There in one local maximum:

[tex]x_{max}=0[/tex]

[tex]P(0,f(0))=P(0,5)[/tex]

(c) The inflection points are calculated by using the second derivative:

[tex]\frac{d^2f}{dx^2}=144x^2-8=0\\\\x^2=\frac{8}{144}=\frac{1}{18}\\\\x=\pm \frac{1}{\sqrt{18}}[/tex]

Then , there are two inflection points , given by:

[tex]P_1(-\frac{1}{\sqrt{18}},f(-\frac{1}{\sqrt{18}}))=P_1(-\frac{1}{\sqrt{18}},4.82)\\\\P_2(\frac{1}{\sqrt{18}},f(\frac{1}{\sqrt{18}}))=P_2(\frac{1}{\sqrt{18}},4.82)[/tex]

It is currently 0 degrees outside, and the temperature is dropping 4 degrees every hour. The temperature after h hours is -4h. It can be described with the equation -4h=-14. What value of h makes the equation true?

Answers

The equation is -4h = -14

To find h, divide both sides of the equation by -4:

H = -14 / -4

H = 3.5 hours.

148, 139, 109, 146, 141, 179, 187, 131, 149, 141 What is the mean absolute deviation of the data set

Answers

Answer:

The mean absolute deviation is 15

Step-by-step explanation:

First you have to find the mean, which in this case is 147.

Then you need to find the difference between each individual number and the mean. Once you have all the diffences written down, you need to add all the differences together. If you take the sum of the differences and divide them by the mean, you'll get your answer!

 Let me know if that makes sense! :)

There were 208 tickets purchased for a major league baseball game. The lower box  tickets cost ​$12.50 and the upper box tickets cost ​$10.00. The total amount of money spent was ​$2187.50. How many of each kind of ticket were​ purchased?

Answers

Answer:

so 189(from 189.66) lower box tickets are sold and 18 upper box tickets are sold

Step-by-step explanation:

lets take "x" as the # of lower box tickets

and "y" as the number of upper box tickets

so in total the number of tickets sold was 208

so  x+y=208

next, we know that each lower box ticket costs 12.50 and each upper box tickets costs 10 and the total amount of money spent was $2187.50 so:

12.5x+10y=2187.50

lets subtract "x" from both sides in first equation to find value of y

y=208-x

now substitute y in equation number 2:

12.5x-10(208-x)=2187.5

12.5x-2080+10x=2187.5

22.5x-2080=2187.5

22.5x=4267.5

x=189.666

so 189 tickets lower box tickets were purchased now, substitute 190 in equation 1 to find value of "y"

y=208-190

y=18

so 189(from 189.66) lower box tickets are sold and 18 upper box tickets are sold

What is the slope of the line that contains these points?x 15,17,19,21 y -10,2,14,26

Answers

Answer:

  6

Step-by-step explanation:

The slope (m) can be found using the formula ...

  m = (y2 -y1)/(x2 -x1)

Any pair of points will do. We can use the first two.

  m = (2 -(-10))/(17 -15) = 12/2

  m = 6

The slope of the line is 6.

Answer:  6

Step-by-step explanation:

What is the quotient
x24 - x18 + x12 ÷ x6

Answers

Answer:

Simplified expression: x^18 - x^12 + x^6

Step-by-step explanation:

1. Let us write down the question at hand, firstly: x^24 - x^18 + x^12/ x^6

2. Let us factor equation x^24 - x^18 + x^12/ x^6 ⇒ x^12(x^12 - x^6 + 1)/ x^6

3. Now apply exponential rules to get x^6 to the numerator:

x^12 - 6(x^12 - x^6 + 1)

4. Simplify this expression to be ⇒ x^6(x^12 - x^6 + 1)

5. And further simplify this expression by distributing the x^6:

Answer: x^18 - x^12 + x^6

The product of two consecutive natural numbers is 19 greater than their sum. Find thee numbers.

Answers

Answer:

The numbers are suppose to be natural numbers that is positive integers form 1 upward. So the numbers will be 5 and 6.  

Step-by-step explanation:

The product of 2 consecutive natural numbers is 19 greater than their sum . We need to understand important terms in this question like consecutive and natural numbers.

Consecutive numbers are numbers that follows each other continuously from smallest to largest.  Natural numbers are numbers that includes all the positive numbers from 1 to infinity example 1, 2, 3, 4............infinity.

Let the consecutive number be a and a+1.

The product of this 2 numbers are when you multiply them. Therefore,

a(a + 1) = a² + a

The sum of the 2 numbers are their addition. Therefore,

a + (a + 1) = 2a + 1

The product is 19 greater than the sum. This means the product of this numbers minus the sum of this numbers is equals to 19.

a² + a - (2a + 1) = 19

a²+ a - 2a - 1 = 19

a²- a - 20 = 0

Find the numbers that can be multiplied to get -20 and added together to get -1. The numbers are 4 and -5

a² + 4a - 5a - 20  = 0

a(a + 4) - 5(a + 4) = 0

(a + 4)(a - 5) = 0

a = - 4 and a = 5

The numbers are suppose to be natural numbers that is positive integers from 1 upward. So the numbers will be 5 and 6.  

To prove it

5 × 6 = 30(products)

5 + 6 = 11(sum)

30 - 11 = 19

some help?I don't know how to solve it​

Answers

This is an inequality. Change the < sign to an = sign and solve the equation.

You can simplify 2log base2 (x) by moving the 2 inside the logarithm.

Log base 2 (6-x) = log2 (x^2)

For the equation to be equal the argument of the logarithm on both sides of the equation must also be equal.

6-x = x^2

Solve for X.

X = 2, -3

I hope that helps.

Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.

Answers

Step-by-step explanation:

C

Answer:

The answer is C

Step-by-step explanation:

I took the test and got it right :)

hopefully this helps you :)

pls mark brainlest ;)

3 and 1/4 minus 5/8 please help!

Answers

3 1/4 is equal to 13/4 or 26/8.

26/8 - 5/8 = 21/8

21/8 = 2 5/8

what is the area of the figure below

Answers

Answer:

58

Step-by-step explanation:

Answer: 58 in.^2

Step-by-step explanation:

a man received a salary of 4920 in two years what is his monthly salary?​

Answers

Answer:

$205 per month

Step-by-step explanation:

Answer:

$205

Step-by-step explanation:

there are 24 months in 2 years

4920/24= 205

Mrs. Morton has a special reward system for her class. When all her students behave well, she rewards them by putting 3 marbles into a marble jar. When the jar has 100
or more marbles, the students have a party. Right now, the jar has 24 marbles.

Write an inequality to determine the number of additional times, r, Mrs. Morton could reward the class in order for the students to have a party.

Will the students have a party if Mrs. Morton rewards them 31 additional times?

Choose 1 answer:
Yes
No

Answers

I think yes i hope i am right

Inequality:

3r + 24 ≥ 100

Will the students have a party if Mrs. Morton rewards them 31 additional times?

Yes

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

f is the correct option pls mark me as the brainliset

Answer:

D, E, F

Step-by-step explanation:

because you need to do this when you are gathering resources

A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likelyto come to rest in any of the slots. One of the simplest wagerschooses red or black. A bet of $1 on red returns $2 if the balllands in a red slot. Otherwise, the player loses his dollar. Whengamblers bet on red or black, the two green slots belong to thehouse. Because the probability of winning $2 is18/38, the meanpayoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numberstells us about what will happen if a gambler makes very many betson red.

Answers

Answer:

Step-by-step explanation:

The question says,

A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likely to come to rest in any of the slots. One of the simplest wagers chooses red or black. A bet of $1 on red returns $2 if the ball lands in a red slot. Otherwise, the player loses his dollar. When gamblers bet on red or black, the two green slots belong to the house. Because the probability of winning $2 is 18/38, the mean payoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numbers tells us about what will happen if a gambler makes very many betson red.

The law of large numbers tells us that as the gambler makes many bets, they will have an average payoff of which is equivalent to 0.947.

Therefore, if the gambler makes n bets of $1, and as the n grows/increase large, they will have only $0.947*n out of the original $n.

That is as n increases the gamblers will get $0.947 in n places

More generally, as the gambler makes a large number of bets on red, they will lose money.

Farmer Smith Jr is putting together fruit baskets. He has 240 oranges and 150 grapefruits. What is the largest number of baskets he can put together so that he can have the same number of oranges in each basket and the same number of grapefruits in each basket?

Answers

Answer:

why does it say college even tho this is a question on my homework

Step-by-step explanation:

and i'm in 7th grade.

Mark wants a new car that costs $30000. He only has $500 in his savings account and $300 in his checking account. Which financing option should he chose

Answers

Answer: He should choose the savings account because he can earn more interest and the money in his savings account is more than the money in his checking account.

Step-by-step explanation:

Length of rectangle is three times bigger than the width. Area of rectangle is 27. A) find width of rectangle B) find length of rectangle C) find perimeter of rectangle.

What is the answer? I need help to solve it.

Answers

Answer:

Length: 9

Width: 3

Perimeter: 24

Step-by-step explanation:

First you can set up a few equations. You know that L x W is your area, or 27.

L * W = 27

Then you also know that your length is equal to three times the width.

L = 3W

So you can substitute L into the first equation to solve for W.

3W * W = 27

3W^2 = 27

W^2 = 9

W = 3

Then you can plug 3 into either equation to solve for your length.

L = 3(3)

L = 9

Then your perimeter is just 2L + 2W

2(9) + 2(3) = 24

Answer:

Step-by-step explanation:

Let the dimensions of the rectangle be length = L and width = W. Then P = perimeter = 2L + 2W.  A = area of rectangle = L * W.  Finally, L = 3W.

Here A = 27 units^2 = W*(3W) = (3*W^2), or 3W^2 = 27 units^2, or

W^2 = 9 units^2, or W = 3 units.  Then L = 3W = 3(3 units) = 9 units.

The length of the rectangle is 9 units.  See above.

The perimeter of the rectangle is 2(9 units) + 2(3 units) = 24 units.

Hotel 3 provides a 6 hour booking for 120 delegates in one room (including tea and lunch).how much would this cost?

Answers

Answer:

  $3840

Step-by-step explanation:

The total cost is ...

  (6 hr)(cost per hr) +(120 persons)(food cost per person)

  = 6($190) +120($15 +7.50)

  = $3840

The booking at Hotel 3 would cost $3840.

She used 25 equally sized stones to make a path that is 12 feet long. How long is each stone

Answers

Answer:

The length of each stone is

L = 12/25 = 0.48 ft

Hope this helps!

:)

Each stone measures 0.48 feet.

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here, the number of stones is 25 and it is used to construct 12 feet long then measure of each stone =12/25

                                                        =0.48 feet

Hence, Each stone measures 0.48 feet.

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ2

An assembly line is operating satisfactorily if fewer than 2 % of the phones produced per day are defective. To check the quality of a day's production, the company randomly samples 5 0 phones from a day's production to test for defects. Define the population of interest to the manufacturer. all the phones produced during the day in question the 50 phones sampled and tested the 2% of the phones that are defective the 50 responses: defective or not defective

Answers

Answer:

all the phones produced during the day in question.

Step-by-step explanation:

Okay, we are given the following data or information or parameters in the question above and they are; 2 % of the phones produced per day are defective, the quality of a day's production was checked by sampling 50 samples randomly.

Therefore, the best option or Explanation that best Define the population of interest to the manufacturer is; ''all the phones produced during the day in question''.

Also, the 50 phones that are sampled randomly and 2% which are defective is a condition that the manufacturer should be interested in.

The quarterback Tom Brady completes 60% of his passes. To simulate the outcome of a single pass we use the digits 0, 1, 2, 3, 4, and 5 to represent the outcome "the pass is completed" and the digits 6, 7, 8, and 9 to represent the outcome "the pass is not completed." To be confident that our simulation is accurate, one needs to :

A. Repeat the simulation several more times
B. Assign new digits to represent outcomes
C. Take the average of the results of Line 134 and Line 101

Answers

Answer:

A. Repeat the simulation several more times

Step-by-step explanation:

The purpose of the simulation model is to represent the effectivity of the passes.

The proportion of successful passes is 60%.

As we have 10 digits available, 6 (digits from 0 to 5) are used for the outcome "the pass is completed" and 4 (digits 6, 7, 8, and 9) to represent the outcome "the pass is not completed". This is correct, as it represents a probability of 60% of having a successful pass.

But to have a representative distribution of the possible and probable results, the simulation have to run enough times to have a stable distribution of the results.

Whats the Doubled Recipe ?
4 ½ ripe tomatoes
⅝ red onion
⅖ garlic cloves
3 jalapenos
⅓ cupe fresh cilantro
3 tablespoons fresh lime juice
2 ½ teaspoons ground cumin
2 ¾ teaspoons
1 ½ teaspoons salt
15 ounces crushed tomatoes ( 1 can)
4.5 ounces diced green childes (1 can)

Answers

9 ripe tomatoes

1 1/4 red onion

4/5 garlic cloves

6 jalapeños

2/3 cup fresh cilantro

6 teaspoons ground cumin

5 1/2 teaspoons

3 teaspoons salt

30 ounces crushed tomato (2 cans)

9 ounces dices green chilies (2 cans)

Answer:

9 ripe tomatoes

1 1/4 red onion

4/5 garlic cloves

6 jalapeños

2/3 cup fresh cilantro

6 teaspoons ground cumin

5 1/2 teaspoons

3 teaspoons salt

30 ounces crushed tomato (2 cans)

9 ounces dices green chilies (2 cans)

PLEASE HELP WITH THIS EASY QUESTION!! EXPLANATION NEEDED!!

Answers

Answer:

100

Step-by-step explanation:

(b/2)^2

b= -20

(-20/2)^2

(-10)^2

100

Which of these expressions is equivalent to log (9^2)?
A. log (2) - log (9)
B. 2 * log (9)
C. log (2) + log (9)
D. log (2) * log (9)

Answers

Answer:

B. 2 * log (9)

Step-by-step explanation:

I put them both into my calculator and got the same answer both times.

The expression that is equivalent to log(9^2) is 2log89. Option B is correct.

According to the law of logarithm,

log (a^b) = blog a

Note that the power of the function is taken to the back of the logarithmic function.

Given the log function log(9^2), to get the equivalent expression, we will simply take the power which is 2 to the back of the log function to have 2log9

Learn more here: https://brainly.com/question/23882267

Find the area of each face of the triangular prism and the total surface area.
Drag each tile to its matching measurement. Each number may be used once or not at all.

Answers

9514 1404 393

Answer:

24160120200528

Step-by-step explanation:

The area of each triangular face is given by the formula ...

  A = 1/2bh

The triangular faces have a base of b=8 cm, and a height of h=6 cm. Their area is ...

  A = 1/2(8 cm)(6 cm) = 24 cm²

__

Each of the rectangular faces has a length of 20 cm. The width depends on which face is of interest. In each case, the area is given by ...

  A = LW

Bottom face: A = (20 cm)(8 cm) = 160 cm²

Back face: A = (20 cm)(6 cm) = 120 cm²

Sloped face: A = (20 cm)(10 cm) = 200 cm²

__

The total area is the sum of the areas of all of the faces and bases. There are two triangular bases, so the total area is ...

  (2×24 + 160 +120 +200) cm² = 528 cm²

Given f(x)=2x^2-8x+6 and g(x)=3x-1, what is f(x)+g(x) ?

Answers

Answer:

2x^2 -5x +5

Step-by-step explanation:

f(x)=2x^2-8x+6 and g(x)=3x-1

f(x)+g(x)  = 2x^2-8x+6 +3x-1

Combine like terms

             = 2x^2 -5x +5

Answer:

2x^2 -5x +5

Step-by-step explanation:

19/20 into a percentage

Answers

Answer:

it will be 95%

hope that helps

Answer:

95 percent

Step-by-step explanation:

Since 20 is 1/5 of 100, one number is equivalent to 5 percent.

Multiply 5 by 19.

You will get your percentage.  

A tire manufacturer has 1000 units of raw rubber to use in producing radial tires for passenger cars and tractor tires. Each radial tire requires 5 units of rubber; each tractor tire requires 20 units. Labor costs are $80 for a radial tire and $120 for a tractor tire. Suppose the manufacturer does not wish to pay more than $15,000 in labor costs and wishes to make a profit of $100 per radial tire and $250 per tractor tire. How many of each kind of tire should be made in order to maximize profit

Answers

Answer:

180 Passenger Car Tires and 5 Tractor Tires should be produced in order to maximize profit.

Step-by-step explanation:

Here, we can form two equations from the given situation.

First, we are given that the total raw tube units are 1000. And 5 units are required for passenger car tire, while 20 units are required for tractor tire. So, the equation becomes:

5 x + 20 y = 1000   -------- eqn (1)

where,

x = no. of passenger car tires produced

y = no. of tractor tires produced

Another condition is given that, maximum labor cost should be $ 15,000. Since, the labor cost is $80 for a passenger tire and $120 for a tractor tie. Thus, the equation becomes:

80 x + 120 y = 15000   -------- eqn (2)

Solving eqn (1) and eqn (2), simultaneously, we get:

x = 180

y = 5

Therefore,

No. of Passenger Car Tires Produced = x = 180

No. of Tractor Tires Produced = y = 5

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