If x+2 is factor of x^3-6x^2-11x+k, then k=

Answer:

I'd go with A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

nth term = dn + (a - d)   Where d is the difference between the terms, a is the first term and n is the term number.

Step-by-step explanation:

9*17 + (-6- 9)= 138

First find the common difference.

This can be found by subtracting the second term minus the

first term which in this case us 3 - (-6) or 3 + (+6) which is 9.

So we add 9 to reach the next term in this sequence.

Since this sequence isn't too long, continuing adding 9

until you reach the 17th term in this arithmetic sequence.

-6 ⇒ 1st term

3 ⇒ 2nd term

12 ⇒ 3rd term

21 ⇒ 4th term

30 ⇒ 5th term

39 ⇒ 6th term

48 ⇒ 7th term

57 ⇒ 8th term

66 ⇒ 9th term

75 ⇒ 10th term

84 ⇒ 11th term

93 ⇒ 12th term

102 ⇒ 13th term

111 ⇒ 14th term

120 ⇒ 15th term

129 ⇒ 16th term

138 ⇒ 17th term

By manually doing this, we found that our 17th term is 138.

Answer:

critical point of the given function f(x,y) = x²+y²+2xy is from line y = -x is the critical point of the function f(x0,y0) = 0

and it local minimum.

Step-by-step explanation:

Let the given function be;

f(x,y) = x²+y²+2xy

From above function, we can locate relative minima, maxima and the saddle point

f(x,y) = x²+y²+2xy = (x+y)²

df/dx = 2x+2y = 0 ---- (1)

df/dy =2y+2x = 0 ---- (2)

From eqn 1 and 2 above,

The arbitrary point (x0,y0) from line y = -x is the critical point of the function f(x0,y0) = 0

Then, from f(x,y) >= 0 for arbitrary (x,y) € R^n, the arbitrary point from the line x = -y is local minima of the function f.

Answer:

The actual product is less than the estimate. The numbers differ by more than one.

Step-by-step explanation:

i took the test

Answer:

C

Step-by-step explanation:

Answer:

is the equation of the line:

y=-3x

Answer:

1,208.92613

Step-by-step explanation:

this is the answer

Answer: D

Step-by-step explanation:

To determine which ordered pair is a solution to the inequality, we can substitute the values of x and y into the inequality and check if it is true.

Let's start with ordered pair A (80, 6):

1/4x ≤ 7/3y + 2

1/4(80) ≤ 7/3(6) + 2

20 ≤ 14 + 2

20 ≤ 16

This is not true, so ordered pair A is not a solution to the inequality.

Now let's try ordered pair B (48, 9):

1/4x ≤ 7/3y + 2

1/4(48) ≤ 7/3(9) + 2

12 ≤ 21 + 2

12 ≤ 23

This is also not true, so ordered pair B is not a solution to the inequality.

Next, let's try ordered pair C (40, 3):

1/4x ≤ 7/3y + 2

1/4(40) ≤ 7/3(3) + 2

10 ≤ 7 + 2

10 ≤ 9

This is false, so option C is not a solution to the inequality.

Finally, we have option D: (2, -6)

1/4(2) ≤ 7/3(-6) + 2

1/2 ≤ -14 + 2

1/2 ≤ -12

This is true, so option D is a solution to the inequality.

Therefore, the answer is D: (2, -6).

Answer:

$0.35

Step-by-step explanation:

8.40/24 = $0.35

Answer:

Los números son 23 y 35.

Step-by-step explanation:

Q: The sum of two numbers is 58. If one of the numbers is 12 more than the other number, what are the numbers?

Set the numbers as x and y. Using the given information, we have two equations:

x+y=58

x=y+12

Solving using substitution, we have:

y+y+12=58 -> y=23

Substituting, x=23+12=35

The numbers are 23 and 35.

Answer:

The probability is P(500 < X  < 700 ) =  0.60044

Step-by-step explanation:

From the question we are told that

    The mean is  \(\mu = 544\)

     The standard deviation is  \(\sigma = 103\)

Generally the percentage of applicant that scored between 500 and 700 is mathematically represented as

      \(P(500 < X < 700 ) = P(\frac{500 - 544}{103} < \frac{X - \mu }{\sigma } < \frac{700 - 544}{103} )\)

\(\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )\)

      \(P(500 < X < 700 ) = P(-0.4272 < Z < 1.5146 )\)

=>   \(P(500 < X < 700 ) = P( Z< 1.5146 ) - P ( Z < -0.4272 )\)

Generally from the z-table, the area under the normal curve to the left corresponding to    1.5146 and     -0.4272  is

  P(  Z<  1.5146 )  =  0.93506

   P ( Z <   -0.4272 ) = 0.33462

So

       P(500 < X  < 700 ) =  0.93506 -  0.33462

=>    P(500 < X  < 700 ) =  0.60044

Answer:

the area of the rectangle is 35.25 square meters.

Step-by-step explanation:

To find the area of a rectangle, we multiply the length by the width.

First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:

4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4

7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6

Now we can multiply the length and width:

Area = (18/4) * (47/6)

Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)

Area = (9 * 47) / (2 * 6)

Area = 423/12

Area = 35.25

Therefore, the area of the rectangle is 35.25 square meters.

Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.

Step 1: Factor out the GCF:

2(3x + 4)

Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.

Therefore, the fully factorized form of 6x + 8 is:

2(3x + 4)

Step-by-step explanation:)

The factored expression is:

Step-by-step explanation:

To factor the expression, look at its GCF (greatest common factor).

Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :

The result is :

And now the 2 goes outside the parenthesis:

Hence, the answer is 2(3x + 4).

Answer:

\((0,2)\)

Step-by-step explanation:

Determine x-coordinate of vertex

\(x=-\frac{b}{2a}\\ \\x=-\frac{0}{\frac{1}{2}}\\\\x=0\)

Determine y-coordinate of vertex

\(y=\frac{1}{2}(0)^2+2\)

\(y=2\)

Therefore, the vertex is at \((0,2)\)

Answer:

Explanatory variable : web page design

Response variables : Visitor's rating and amount of time visiting the site.

Kindly check explanation for the rest.

Step-by-step explanation:

The explanatory variable simply means the independent or predictor variable which is used to bring about a change in the dependent or predicted variable. The explanatory variable in the scenario above is the web page design which is used to measure the behavior and changes in the response variable which are the rating given by visitors and the number of visits on each of the two different web page designs available (explanatory variable).

The confounding factor which may affect the study is the different area assigned to test the effectiveness of each page ; designating one page for the Oakland area and the other for Miami. User preferences for each area may itself mask the actual outcome of the experiment.

Answer:

2. True

3. Maximum

4. \(2(m-9)^2\)

Step-by-step explanation:

Question 2:

Yes, it is the vertex formula used to calculate the vertex of a quadratic funtion.

Question 3:

Since the first term of the equation has a negative coefficient, the parabola turns upside down, which opens down. Therefore the equation has a maximum.

Question 4:

\(2m^2-36m+162\\\)

Find the GCF:

\(2(m^2-18m+81)\)

Find the perfect square binomial:

\(81*1=81\\\\(-9*-9)\\\\-9*-9=81\\\\-9-9=-18\)

Therefore this equation can be written as a perfect square binomial.

\(2(m-9)^2\)

Answer:

x=4

Step-by-step explanation:

hope you do well

Answer:

x = 4

Step-by-step explanation:

9514 1404 393

Answer:

  D.  -1/6

Step-by-step explanation:

Your calculator can tell you the answer to this.

  \(-\dfrac{1}{2}+\left(\dfrac{3}{4}\cdot\dfrac{4}{9}\right)=-1/2+\dfrac{4\cdot3}{4\cdot9}=-\dfrac{1}{2}+\dfrac{3}{9}\\\\=-\dfrac{1}{2}+\dfrac{1}{3}=-\dfrac{3}{6}+\dfrac{2}{6}=\boxed{-\dfrac{1}{6}}\)

If probability  each parent is heterozygous for both features, determine the likelihood that a child will only have cystic fibrosis or sickle-cell anaemia.

P(Sickle-cell Anemia)

= 0.25

P(Cystic Fibrosis)

= 0.25

P(Sickle-cell Anemia or Cystic Fibrosis) = P(Sickle-cell Anemia) + P(Cystic Fibrosis)

P(Sickle-cell Anemia or Cystic Fibrosis)

= 0.25 + 0.25

P(Sickle-cell Anemia or Cystic Fibrosis)

= 0.5

The likelihood that a child will have either cystic fibrosis or sickle-cell anaemia is 0.5 or 50%. This is because both parents are heterozygous for both features. This means that each parent has a 25% chance of passing on either one of the conditions to their child. The probability of having either one of the conditions is the sum of the individual probabilities, which is 0.25 + 0.25 = 0.5 or 50%.

Learn more about probability here

https://brainly.com/question/11234923

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Answer:

Step-by-step explanation:

The cube has 6 equal faces.

Total surface area:

Option 1's airfare will set you back $2600.

The act of simplifying something such that it is simpler to carry out or understand, or the thing that is the product of this simplifying process: The group offers suggestions for streamlining business processes. This grossly oversimplifies what actually transpired. See.

We have been given that

For option 1

Airfare = $x

Hotel = $600

For option 2

Airfare = $0.75x

Hotel = $800

Only 10 family members can attend if they choose Option 1.

10x + $600 .........eq 1.

12 family members can attend the reunion if they choose Option 2.

12(0.75)x + $800

9x + $800 ........eq 2.

By using Eq (1) and Eq (2)

10x + $600 = 9x + $800

10x - 9x = $800 - $600

x = $200

Put the value of x in the eq (1)

Then we get 10x + $600

= 10 x 200 + $600

= 2000 + $600

=  $2600

Hence ,  the cost of airfare for Option 1 is  $2600.

To learn more about Simplification

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Answer:

4/13

Step-by-step explanation:

There are 9+4=13 marbles in total.

So, the ratio is 4/13.

The ratio of blue marble to all marbles is 4: 13 while blue marbles to red marbles ​ are 4: 9.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

Number of blue marbles = 4

Number of red marbles = 9

Total number of marbles = 9 + 4 = 13

The ratio of blue to total marble = 4/13

The ratio of blue to red = 4/9

Hence "The ratio of blue marble to all marbles is 4: 13 while blue marbles to red marbles ​ are 4: 9.".

For more information about ratio and proportion,

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Answer:

x=-7/2

Step-by-step explanation:

Answer:

x = -7/2 or -3.5

Step-by-step explanation:

7x - 2 = 9x + 5

Add 2 to both sides

7x = 9x + 7

Subtract 9x from both sides

-2x = 7

Divide both sides by -2

x = -7/2

x = -3.5

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Answer:

a

Step-by-step explanation:

Answer:

Easy! Abu solved 100 multiplication problems more than division problems

Step-by-step explanation: Just take 231 - 131 = 100 :D

Answer:

Look at the money bags below!!! (but I'll give you the answer)

Step-by-step explanation:

John F: 7 full bags - 1 half

Juan A: 9 full bags

Jason A: 3 full bags

Nick J: 3 full bags- 1 half

Alfonso S: 8 full bags

Hope this helped and wasn't confusing!!! xx - Asia

Check the picture below.

Answer:

Where is the plobem

Step-by-step explanation:

Follow me // i'm Followback you

Answer:

5,-1  

Step-by-step explanation:

edited.... I gave 1/3   AC  earlier (misread the Q)

   This means AC is divided into fourths

x    from  6 to 2 is -4     1/4th of this added to 6 is

    6 - 1/4 * 4 =   5

y    from 1 to -7  is -8    1/4th of this added to 1 is

                   1 - 1/4 * 8 = -1  

Answer:

x < -4

-4 > x

Step-by-step explanation:

⇒ The graph shows that the x-values has to be less than -4 (also not including -4 too)

-This can be written as x < -4

-It also can be written as -4 > x because -4 has to be greater than x (also not including -4 too)

Hope this helps again! :)