The following equation is true for all real values of k for which the expression on the left is defined, and A
is a polynomial expression.
6k2 – 36k k2 + 12k + 36
А
k2 - 36
1
What is A?

The Following Equation Is True For All Real Values Of K For Which The Expression On The Left Is Defined,

Answers

Answer 1

Answer:

A = 6k(k + 6)

Step-by-step explanation:

We have to solve the given equation for the value of A,

[tex]\frac{6k^2-36k}{A}.\frac{k^2+12k+36}{k^2-36}=1[/tex]

[tex]\frac{(6k^2-36k)(k^2+12k+36)}{A(k^2-36)}=1[/tex]

(6k² - 36k)(k² + 12k + 36) = A(k² -36)

6k(k - 6)(k + 6)² = A(k - 6)(k + 6)

A = [tex]\frac{6k(k-6)(k+6)^2}{(k-6)(k+6)}[/tex]

A = 6k(k + 6)

Therefore, value of A is 6k(k + 6).


Related Questions

Studies have suggusted that twins, in their early years, tend to have lower IQs and pick up language more slowly than non-twins. The slower intellectual growth may be caused by benign parental neglect. Suppose it is desired to estimate the mean attention time given
to twins per week by their parents. A sample of 26 sets of two-year-old twin boys was taken, and after one week the attention time
received was recorded. The mean was found to be 27.4 hours with a standard deviation of 11,2 hours. Use this information to contruc
a 98% confidence interval for the mean attention time given to all twin boys by their parents, assuming that the population is
approximately normally distributed, Round the endpoints to one decimal place.
Confidence interval:( , )

Answers

Answer:

Confidence interval: (21.9, 32.9).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 26 - 1 = 25

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.485

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.485\frac{11.2}{\sqrt{26}} = 5.5[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 27.4 - 5.5 = 21.9 hours

The upper end of the interval is the sample mean added to M. So it is 27.4 + 5.5 = 32.9 hours

Confidence interval: (21.9, 32.9).

need to solve
7y+32;y=9

Answers

Answer:

95

Step-by-step explanation:

Have a great day

If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?

Answers

Answer:

3:00 p.m. in Houston.

Step-by-step explanation:

Someone please help me, I can't figure this out. I already asked this but I got a file. Please no files, I'm begging, I just want my math answers. Thank you,

(Look in image for question)
(Measurements are 4cm, 10cm, 5cm, 6cm, and 5cm).​

Answers

Answer:

I believe the volume is 120 and the surface area is 124

Step-by-step explanation:

I WILL MARK YOU AS BRAINLIST PLEASW HELPPP

Answers

Answer:

A = 30

Step-by-step explanation:

it's a 30,60,90 triangle by the sides but to prove it:

sohcahtoa

cos A = 3√2/2√6 = 4.24/4.899 = .865

A = 30°

Find the area of this circle. Use 3.14 for 62 in.​

Answers

Good luck hope this helps

An expression is shown below:

2x3y + 8xy − 4x2y − 16y

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Plz help, give good answer and get brainlest!!

Answers

Answer:

2y is greatest common factor

Add and subtract the second term to the expression and factor by grouping.

2y(x−2)(x2+4) is the factor

Step-by-step explanation:

Answer:

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

answer:

2y(x³+4x-2x²-8)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

answer:

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)

Find the equation for the following parabola. Vertex 0,0. Focus 2,0.

Answers

Answer:

8x

Step-by-step explanation:

Answer:

Hi there! The equation for this parabola is y^2=8x.

Press the button without the slightest hesitation! :)

Step-by-step explanation:

Correct for Acellus! :)

Find the circumference and area of a circle whose diameter is 14cm​

Answers

Answer:

C≈43.98cm

Step-by-step explanation:

Hhhhhhhhhhhhhhhhhhh

Answer:

Step-by-step explanation:

hello :

the circumference ix : P= 2 pi ×r r : ridus r = diameter/2 = 7 cm

P= 2×3.14×7=43.96 cm

Which equation demonstrates the distributive property?

Answers

Answer:

B-36*8=8*36

The distributive property is just using the same numbers except it's just switched around but hte same numbers are in the problem/equation.

Hope this helps!

Have a great day!

- Hailey

Look below for an example!

Photo used to help with the question is below!! Please answer! Will mark BRAINLIEST!
⬇⬇⬇⬇⬇⬇⬇
Find the measure of AGF.

Answers

Answer:

angle AGF = 55

Step-by-step explanation:

Assumed that this would be a perpendicular because of the 90 degree mark. So did 90 - 35 = 55

Ravi has ridden 44 miles of a bike course. The course is 55 miles long. What percentage of the course has Ravi ridden so far?

Answers

Answer:

80%

Step-by-step explanation:

To find the percent that he has ridden, divide the number of miles he has ridden by the total length of the course

44/55

= 0.8

So, Ravi has ridden 80% of the course

Answer:

80%

Step-by-step explanation:

There are 55 miles 1/5=11 miles so 44 miles=4/5

4/5=80%

find the distance between the points (-4,5), (-12,5)

Answers

Answer:

d = 8

Step-by-step explanation:

For:

(X1, Y1) = (-4, 5)

(X2, Y2) = (-12, 5)

Distance Equation Solution:

d=(−12−(−4))2+(5−5)2−−−−−−−−−−−−−−−−−−−−√

d=(−8)2+(0)2−−−−−−−−−−√

d=64+0−−−−−√

d=6–√4

d=8

Therefore, the distance between (-4,5), (-12,5) is 8.

3. What type of sequence is this?
0,2,5,9,14,...
Arthimetic
Geometric
Neither

Answers

Neither is the correct answer

geometry question help

Answers

Answer:

m<BCD  is 62 degrees

Step-by-step explanation:

From the diagram given, both triangles are similar triangles and triangle CAB is isosceles in nature;

Hence;

m<CAB = m<CBA

Also

m<CAB + m<CBA = m<BCD

31 + 31 = m<BCD

Swap

m<BCD = 31 + 31

m<BCD  = 62 degrees

hence the measure of m<BCD  is 62 degrees

Three times the sum of a number and three is equal to six times the number, minus three. Find the number
The number is ?

Answers

Answer:

n = 4

Step-by-step explanation:

3(n + 3) = 6n - 3

3n + 9  = 6n - 3

12 = 3n

n = 4

3x + 3 = 6x - 3
3x - 6x = - 3 - 3
- 3x = - 9
- 3x = - 9 . ( - 1 )
3x = 9
x = 9/3
x = 3

The country of Freedonia has decided to reduce its carbon dioxide emission by 3 5 %every year. This year the
country issued 40 million tons of carbon dioxide.

Answers

Answer:

Brainliest?

Step-by-step explanation:

The amount after t years 40 millions tons  

Bit by bit clarification:  

Given as :  

The pace of abatement of carbon dioxide one another = 35%  

The amount of carbon dioxide radiated for this present year = 40 million tons  

Let the amount of carbon dioxide discharged after t year = A millions tons  

Presently, According to address  

The amount of carbon dioxide radiated after t year = The amount of carbon dioxide discharged for this present year ×  

Or on the other hand, A millions tons = 40 millions tons ×  

Or on the other hand, A millions tons = 40 millions tons ×  

Or on the other hand, A millions tons = 40 millions tons ×  

Or on the other hand, A millions tons = 40 millions tons ×  

So,The amount after t years = A = 40 millions tons  

Consequently The amount after t years 40 million

A scientist is studying snakes in the tropical rainforest. She surveys a 1 square mile area. She collects the following data:



Based on the evidence provided, what is the most likely explanation for the red snake population size? (SC.5.N.1.1)


The red snakes are not well hidden, so they are eaten by predators often.


The green snakes and the red snakes are in competition for the same food.


The black snakes prey upon the red snakes during certain times of the year.


The red snakes have been killed off by the poisons they produce.

Answers

Answer:

its c

Step-by-step explanation:

i took the test and got 100 percent

HELP WILL GIVE BRANLIEST!!

Answers

Answer:

the answer is the first option

A research scholar wants to know how many times per hour a certain strand of virus reproduces. The mean is found to be 4 reproductions and the population standard deviation is known to be 2.3. If a sample of 1083 was used for the study, construct the 99% confidence interval for the true mean number of reproductions per hour for the virus. Round your answers to one decimal place.

Answers

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{2.3}{\sqrt{1083}} = 0.18[/tex]

Rounding to one decimal place, 0.2.

The lower end of the interval is the sample mean subtracted by M. So it is 4 - 0.2 = 3.8 reproductions

The upper end of the interval is the sample mean added to M. So it is 4 + 0.2 = 4.2 reproductions.

The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.

Two hundred Dickinson parents were surveyed; 25% prefer year-round school. What fraction represents the number of parents who prefer year-round school?

Answers

1/4 is the fraction for the number of parents who prefer year round school.

Find the area of the shaded region in the figure below, if the radius of the outer circle is 8 and the radius of the inner circle is 4. Keep your answer in terms of π.

Answers

Answer:

48 π

Step-by-step explanation:

Area of Circle =πr∧2

Big Circle Area = π(8)∧2 = 64π

Small Circle Area =π(4)∧2= 16π

Shaded Region = 64π - 16π = 48π

Please help I’ll mark you brainliest if correct!

Answers

Answer:

89.5

Step-by-step explanation:

Answer:

89.5

................................

Primalia knows there are 3 feet in 1 yard. She writes the equation 3= to find the number of yards, , in any number of feet, .

Use the drop-down menus to complete the statements about Primalia's equation.

The word choices for the first part is "greater than" or "less than".
The word choices for the second part is "greater than" or "less than"
The word choices for the third part is "will" or "will not"
The word choices for the fourth part is "3 x f = y", "3 + f = y", "3 x y = f", or "3 + y = f"

Answers

Answer:

Step-by-step explanation:

1. Greater than

2. Greater than

3. will

4. 3 × f = y

can u help me with this

Answers

Answer:

1/500 = 0.002, 2 and 6/10 = 2.6, 3 and 2/25 = 308%, 0.0025 = 25%

Step-by-step explanation:

Check all that are equivalent to 3(-4a + 5)
A
-12a
B
-12a + 15
C
-12a - -15
D
12a + 15

Answers

The answer or this is B

Answer:

B.) -12a+15

Step-by-step explanation:

I need some help with this,and have this done correctly for brainliest.​

Answers

#5 = 1

Because you have to find x of (-3) and then you find 1.

#6 = 1

The vertical line doesn't represent a function but horizontal line if passed once represents the function.

#7 = 4

You can just plug in the x values into the equation and solve for y and math the answer to the y data.

1) Choice 1, is the correct answer because -3 on the x-axis touches the graph at 6 on the y-axis.

2) Choice 2, is the correct answer. It doesn't pass the horizontal line because it passes through more than one line on the graph. However, it does pass the vertical line test, which only passes through one line and makes this graph a function.

3) Choice 4, is the correct answer. If you use an online graphing tool, you can match up the points on one of these tables. Choice 4 only seems to fit all on these into f(x) = -2x + 6 equation.

Hope this helps :)

I have a box that is 5 inches wide 2 inches deep and 4 inches tall I want to fill with sand. how much sand can I fit inside the box?

Answers

Answer:

40

Step-by-step explanation:

5x2 is 10 and 10x4=40

A data set has a median of 48, and six of the numbers in the data set are less than
median. The data set contains a total of n numbers.
If n is odd, and exactly one number in the data set is equal to 48, what is the value of
n?

A 13
B 16
C 15
D 17

Answers

Pretty sure it’s b cus if u divide 48 by all the numbers given b is the only one without a decimal meaning 16 goes into 48

315 points)
What is the slope of a line parallel to y =-1/2x+6
A) 1/2
B) 2
C) -1/2
D) -2

Answers

Answer:

The slope is -1/2

Step-by-step explanation:

The Y-intercept is (0,6)

The slope is A sorry if wrong
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