14k²+49k+21 factorise

Answers

Answer 1

Answer:

(2k+1)(k+3)

Step-by-step explanation:

14k²+49k+21

simplify by dividing the whole equation by 7

2k²+7k+3

factorise

(2k+1)(k+3)


Related Questions

9-5(x+4)=3(2-x) plz help im so bad at math

Answers

9 × x = 9x

-5 × x = -5x

9 × 4 = 36

-5 × 4 = -20

3 × 2 = 6

3 × -x = -3x

9x - 5x + 36 - 20 = 6 - 3x

4x + 16 = 6 - 3x

4x - 3x = - 16 + 6

x = - 10

: )

This was my answer hope I helped ;)

Drag the labels to the correct locations. Each label can be used more than once, but not all labels will be used.

Simplify the expression by rewriting it as a complex number in the standard form a+bi

Answers

Given:

The expression is

[tex]\sqrt{64}+\sqrt{-144}[/tex]

Rewriting it as a complex number in the standard form a+bi.

To find:

The missing values in the given simplification.

Solution:

We have,

[tex]\sqrt{64}+\sqrt{-144}[/tex]

It can be written as

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1\cdot 12^2}[/tex]

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1}\cdot \sqrt{12^2}[/tex]

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot \sqrt{12^2}[/tex]   [tex][\because \sqrt{-1}=i][/tex]

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot 12[/tex]

[tex]\sqrt{64}+\sqrt{-144}=8+12i[/tex]

Therefore, the missing values are [tex]-1,\ i,\ 12i[/tex] respectively.

Answer:

Sample Answer for Edmentum

Like and Rate!

Step-by-step explanation:

Can someone help me with this question for my homework 2x+29+11=x+28

Answers

Sure! I'll try!

2x + 29 +11 = x + 28

First, you would put like terms ( the x ) on the same side.

2x + 29 + 11 = x + 28

-2x                 -2x

Giving you: 29 + 11 = -3x + 28

Then, you would add 29 and 11 together to get 40.

Next, you'd put the 28 on the other side.

40 = -3x + 28

-28           - 28

Giving you: 12 = -3x

12= -3x there ya go!

On any given day, the proportion of workers at a factory who are more than 5 minutes late to work is 0.11. A random sample of 20 workers will be selected. Which of the following is the best interpretation of the mean of the sampling distribution of the sample proportion of workers in the sample who are more than 5 minutes late to work for samples of size 20 ?
A) For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.
B) For a randomly selected worker, the probability the worker will be more than 5 minutes late to work is 0.11.
C) For a random sample of 20 workers, the proportion of workers who are more than 20 minutes late to work will be 0.11.
D) For a random sample of 20 workers, the probability that 2.2 workers will be more than 5 minutes late to work is very high.
E) For repeated samples of size 20, the proportion of workers who are more than 5 minutes late to work varies in each sample by no more than 0.11.

Answers

Answer:

A) For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question, we have that:

The proportion workers at a factory who are more than 5 minutes late to work is 0.11. So, by the interpretation of the central limit theorem, the mean of all sample proportions, for samples of size 20, will be of 0.11.

The correct answer is given by option A.

The interpretation of the mean of the sampling distribution will be A. For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.

The sampling distribution of the sample proportion is approximately normally distributed. It's simply the mean of the population from where the population is sampled.

From the information, the mean of the sampling distribution of the sample proportion of workers in the sample who are more than 5 minutes late to work for samples of size 20 will be that for samples of size 20, the mean of all possible sample proportions is equal to 0.11.

In conclusion, the best option is A.

Learn more about sampling distribution on:

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r(x)=2square root of x S(x)= square root of x (rs)(4)=

Answers

Answer:

[tex](rs)(4) = 8[/tex]

Step-by-step explanation:

Given

[tex]r(x) = 2\sqrt{x[/tex]

[tex]s(x) = \sqrt x[/tex]

Required

Determine [tex](rs)(4)[/tex]

In functions:

[tex](fg)(x) = f(x) * g(x)[/tex]

This implies that:

[tex](rs)(x) = r(x) * s(x)[/tex]

Substitute values for r(x) and s(x)

[tex](rs)(x) = 2\sqrt{x} * \sqrt{x}[/tex]

[tex](rs)(x) = 2(\sqrt{x})^2[/tex]

[tex](rs)(x) = 2x[/tex]

Substitute 4 for x

[tex](rs)(4) = 2 * 4[/tex]

[tex](rs)(4) = 8[/tex]

Help me please and I’ll give you a Brainly star!

Answers

The answer is : 45 degrees

solve for x x−6/9=−5

x= ​

Answers

Answer:

4 4/9

Step-by-step explanation:

Move all terms not containing x

to the right side of the equation.

Exact Form:

x=−409

Decimal Form:x=−4.¯4

Mixed Number Form:

4 4/9

Answer:

-39

Step-by-step explanation:

x-6/9 = -5

then multiply both sides by 9

9  ° (x-6) / 9  = 9 ° -5

simplify

x-6= -45

add 6 to both sides

x-6+6=-45+6

simplify

x= -39

   

HELP! whoever gets it right gets brainliest!!!

Answers

Answer:

C

Step-by-step explanation:

By trial and error.

A: 50*12-100=500, 50*15-100=650. (A is not correct)

B: 500(12-11)=500, 500(15-11)=2000. (B is not correct)

C: 300(12-12)+500=500, 300(15-12)+500=1400. (if you continue try the numbers, you will see that this is the correct answer)

D: 200(12-5)+400=1800. (D is not correct)

The answer would be C by trial and error

A stockbroker knows from experience that the probability that a client owns stocks is 0.60. P(A) The probability that a client owns bonds is 0.50. P(B) The probability that the client owns bonds if he/she already owns stock is 0.55 What is the probability of a client owning stocks OR bonds

Answers

Answer:

the probability of a client owning stocks OR bonds is 0.825

Step-by-step explanation:

The computation of the probability of a client owning stocks OR bonds is given below:

= P(stocks) + P(bonds) - P(stocks and bonds)

= 0.60 + 0.50 - (0.55 × 0.50)

= 0.60 + 0.50 - 0.275

= 0.825

Hence, the probability of a client owning stocks OR bonds is 0.825

plwase answer ALL the blanks.

Answers

Answer:

its option A

Step-by-step explanation:


Cam divided x^4
+ 3x² - 4x – 2 by the factor x-2 using synthetic division. His work is shown. Identify his
mistake.

2 1 3 -4 -2
2 10 12
——————
1 5 6 10

x^3+5x^+6x+10
——
x-2

Answers

Answer: cam did not use a zero place holder for the x^3 term

Step-by-step explanation:

Decide if the statement is true or false.
7 is a solution of - 4x = -28.

Answers

True,

-4x=-28

Divide by -4 on both sides and since the negatives cancel eachother, you're left with x=7

Please help it just one question please!!!

Answers

Answer:

-51

Explanation:

[tex]=17\left(-3\right)\\\\=-51[/tex]

Answer:

-51

Step-by-step explanation:

because you add the parenthesis first so 17, and you times that by -3

answer quick will give 20 points

Answers

Answer:

I think c but I'm not sure

Answer:

C: (-3,6)

Step-by-step explanation:

add both equations

5x+2x+2y-2y=-15+(-6)

7x=-21

x=-3

input x=3 into any equation in system and solve for y

2(3)-2y=-6

-2y=-12

y=6

solution: (-3, 6)

Find the distance from the point (0, 3) to the line y = 3x – 9. Round your answer to the nearest tenth.
The distance is about
units.

Answers

Answer:

4

Step-by-step explanation:

This is a vague question so I understand why you reached out for help. Please not that my answer is not correct in case the problem is subliminally asking for the shortest distance, but there is no indication of that on the question prompt.

The graph is not drawn to scale.

The distance between the line and the point is 4 units.

What is Distance formula?

The formula to find the distance between the two points is usually given by d=√((c-a)² + (d-b)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

Given: line: y= 3x-9

put y= 3

3 = 3x-9

12 = 3x

x= 4

and, the other point is (0, 3).

Now, the distance between theses points

D= √(4-0)² + (3 -)²

D= √4²

D= √16

D= 4 units

Hence, the distance is 4 units.

Learn more about Distance formula here:

https://brainly.com/question/1872885

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The triangles are congruent by what rule?
SAS
SSA
Not congruent
AAS

Answers

Answer: SAS

Step-by-step explanation:

Which table shows a proportional relationship ?

Answers

Answer:

First table

Step-by-step explanation:

In a table of a proportional relationship, there is always some number that you can multiply by the number in the first column to get the number in the second column for any row. This number is called the constant of proportionality. In the fruit juice example, the constant of proportionality is 0.4.

A common form for rational numbers means to change all of the numbers to a decimal or a fraction
True or False

Answers

Answer:

I think its......false (I tried)

Step-by-step explanation:

True because rational numbers change

PLEASE HELP WITH ALL IT WOULD BE NICE IF YOYU WOULD

Answers

I can do the first 8
1. 12
2. 15
3. 13
4. 60
5. 56
6. 13
7. 27
8. 90

A group of students made tacos for their class lunch. The number of tacos each student made is shown in the table.



Student Number of Tacos
Jackie 6
Manny

6
Vinny 2
Paula 8
Marta 4
Evelyn 2


Which answer choices describe the ratio 6 : 4?

Select all that apply.


the ratio of the number of tacos Jackie made to the number of tacos Marta made


the ratio of the number of tacos Manny made to the number of tacos Evelyn and Vinny made


the ratio of the number of tacos Paula made to the number of tacos Jackie and Manny made


the ratio of the number of tacos Marta made to the number of tacos Manny made


the ratio of the number of tacos Manny made to the number of tacos Marta made


the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made

Answers

Answer:

-the ratio of the number of tacos Jackie made to the number of tacos Marta made

-the ratio of the number of tacos Marta made to the number of tacos Manny made

-the ratio of the number of tacos Manny made to the number of tacos Marta made

-the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made

Step-by-step explanation:

There are 4 that apply! Jackie and many both made 6 and Marta made 4 so the ratio is 6:4! Vinny and Marty's combined is 6 and Vinny and evelyn's combined is 4 so the ratio is 6:4!

Which expression can be used?

Answers

Answer:

b

Step-by-step explanation:

n+6

Step-by-step explanation:

it is because you're increasing the servings

Find the sum of the first 9 terms of the following sequence. Round to the nearest
hundredth if necessary.
4,
8,
16, ...

Answers

Answer:

Your missing a number and your answer is 12

Step-by-step explanation:

what is the inverse f(x)=1/5x

Answers

Answer:

F = 1/5

Step-by-step explanation:

The answer for your equation is 1/5x

A pitched roof is built with a 2:5 ratio of rise to span. If the rise of the roof is 12 meters, what is the span?
4.8 meters.
30 meters.
15 meters.
9 meters.
Help please!

Answers

15 meters!! Is the correct answer

Answer:

30!

Step-by-step explanation:

I took the Quiz!

Question 5(Multiple Choice Worth 1 points) (02.01 LC) Which of the following tables represents a function?
x 2 2 3 3
y 5 -5 6 -6

x 4 -4 4 -4
y 1 2 3 4

x 6 6 7 7
y 2 3 4 5

x 2 -2 4 -4
у 8 8 12 12​

Answers

D (the last option)

x 2 -2 4 -4
y 8 8 12 12

because the x values should not repeat for the y values.

Answer:

D.

x 2 -2 4 -4

y 8 8 12 12

Step-by-step explanation:

the x values should never ever repeat for the y values.

Please help. The few questions I need help with are in the image below. Thanks.

Answers

Answer:

3) 21/60= 0.35

4) 5/4= 1.25

5) 9/15= 0.6 or 2/3

6) 378/15= 25.2 or 25 and 1/5

7) 1 1/2/ 2/3= 2.5

8) 28 1/3 / 3 1/3= 8.5

Step-by-step explanation:

hope this helps!

mark me brainliest please!

PLEASE HELP ME i rly need an a
what is how much sales tax will Larry pay for his $939 doorbell in Las Vegas, where the sales tax is 8.38%? Use appropriate units and round your answer to the nearest cent if necessary. * plez i beg

Answers

Answer:

939/x    8.38/100

x8.38     93900

x= 11205.25

Step-by-step explanation:

Someone please help and thank you

Answers

Answer: 11:7

Step-by-step explanation:

66 is divisible by 6 = 11

42 is divisible by 6 = 7

GIVE BRAINLIEST!

At the sleepover, Drew's friends ate 3 3/9 cups of ice cream. The next day, his family ate 2 4/9 cups more. How many cups did they eat altogether?​

Answers

5 7/9 cups of ice cream hope this helps :)

Which regression equation best fits these data ?

Answers

Answer:

C. [tex]y = -0.30\cdot x^{2}-0.48\cdot x+15.83[/tex]

Step-by-step explanation:

The best fit curve for the given set of points is the quadratic form, which is defined by:

[tex]y = A\cdot x^{2}+B\cdot x + C[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]A[/tex], [tex]B[/tex], [tex]C[/tex] - Coefficient.

The coefficient associated with the second-power component determines whether vertex is an absolute maximum or not. The vertex is an absolute maximum if and only if [tex]A < 0[/tex], otherwise it is an absolute minimum. From image we notice that resulting fit curve will have an absolute maximum, then [tex]A < 0[/tex]. Hence, the correct answer is C.

Answer: C

Step-by-step explanation:

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