For what value of k are the roots of the quadratic equation 3x 2 2kx 27 0?

Answers

Answer 1

The values of k are 9, – 9 for which roots of the quadratic equation are real and equal.

What is a quadratic equation?

An equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.

Given: 3x² + 2kx + 27 = 0

Comparing with standard quadratic equation ax² + bx + c = 0

a = 3 b = 2k c = 27

Given that the roots of the equation are real and equal

Thus, D = 0

Discriminant D = b² – 4ac = 0

(2k)² – 4.3.27 = 0

4k² – 324 = 0

4k² = 324

k² = 81 taking square root on both sides

k = 9 or k = – 9

Hence, The values of k are 9, – 9 for which roots of the quadratic equation are real and equal.

For more references on quadratic equation, click;

https://brainly.com/question/17177510

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Related Questions

PLEASE HELP!!!! I’ll mark brainliest

Answers

2 I think it is will that’s what it says

Answer:

10

Step-by-step explanation:

h= -4

k= -3

plug in h and k

[tex]\frac{(-4*-3)-4}{2}+6[/tex]

[tex]\frac{(12)-4}{2} +6[/tex]

[tex]\frac{8}{2} +6[/tex]

4 + 6= 10

1 point Two sides of a triangle have side lengths of 22 inches and 34 inches. What is the range of possible lengths for the third side? *​

Answers

Quien me ayuda nose nada

HELP!!!!!!!! Question 1 (1 point)
What is the value of w to the nearest degree?
15
21
v
65
25
Ob
35
40
d
45

Answers

Answer: nearest degree is 40

Step-by-step explanation:

A student used f ( x ) = 5.00(1.012) x to show how the balance in a savings account will increase over time. What does the 5.00 represent?
A: The annual interest rate of the savings account
B: The interest the savings account earned for the first year
C: The starting balance of the savings account
D: The number of years the savings account has earned interest

Answers

Answer:

A student used f(x) = 5.00(1.012)* to show how the balance in a savings ... A student used f(x) = 5.00(1.012)* to show how the balance in a savings increase over time. What does the 5.00 represent? A The interest the savings account earned for the first year. B ... kamyawright is waiting for your help.

Step-by-step explanation:

The workers at Cameron's Flower Shop are putting 1,323 bamboo flowers into vases for a party. Each vase must hold exactly 8 bamboo flowers. What is the total number of flowers the workers can fill completely

Answers

Answer: 165

Step-by-step explanation:

Given

The shop has 1323 bamboo flowers

Each vase can hold exactly 8 bamboo flowers

no of the vase(n) filled with 8 flowers are

[tex]\Rightarrow n=\dfrac{1323}{8}=165.375[/tex]

i.e. 165 is completely filled and 166th is partly filled

[tex]\Rightarrow 165\times 8=1320[/tex] i.e. 3 flowers are left after filling 165 vases completely.

Solve for for n. 10(n+4) = 63

Answers

Answer:

n=23/10

Step-by-step explanation:

10(n+4)=63

n+4=63/10

n=63/10-4

n=23/10

decimal form: 2.3

Dont scam me pplzzzzz

Answers

Answer:

Step-by-step explanation:

If 2p + 6a = $14

 

and 3p + 9a = $21

 

then the following would also be true:

 

1p + 3a = $7

 

If p = pear and a = apple, how much would each cost?  The unit prices can be determined by looking at the pattern. You can use multiplication to solve the problem.  

 

For example, 1p + 3a*2 = $7

 

p = $1/each

a = $2/each or $6 total

I hope this helps you out.

Answer:

the unit for pears and apples are : 35

Step-by-step explanation:

14 + 21 = 35

or it is 2 x 6 x 3 x 9 wich is : 324 i doubt thats the answer tho

11. Which could be the table of values that was used to graph the function of x shown below?

Answers

Answer:

D

Step-by-step explanation:

Here, we want to select the possible table of the given line

Let us look at the intercepts

On the x-axis, we have an intercept at x = 2

On the y-axis, we have an intercept at y = -4

This means that when y = 0, x = 2 and when x = 0, y = -4

Looking at the options, the table that supports this answer is the table of option D

A rectangular prism has a volume of 175 in'. The height of the prism is 7 in. The base is a square. What is the length of a side of the base?​ please help

Answers

Answer:

a=5cm

Step-by-step explanation:

V=B*H

You will get base if you do this:

B=V:H

B=175:7

B=25

I'm not so good with English, side is probably a,so:

Formula for base: B=a²

Then a=√B

a=√25

a=5cm

I hope this helps.

what’s the equation of a line?

Answers

Answer:

1. y= 3x -10

2. y= -5x + 7

3. y= x -9

4. y= 2/3x- 6

5 y= -x + 2 1/2

in Joe's fish tank, there are 6 goldfish and 12 snails. How does the ratio 6:18 describe Joe's fish
tank?

Answers

Hey there!

The ratio 6:18 describes Joe's fish tank, certainly. But how?

Note that this ratio can be written as 6 to 18, 6/18, and 6 out of 18.

This ratio can show this: For every 6 goldfish in Joe's tank, there are 12 snails.

Great question!

Hope I helped, please feel free to comment below should you have any questions/comments/concerns!

The correct option is C.

Given that,

in Joe's fish tank, there are 6 goldfish and 12 snails.

Here 6:18 denotes that the number of goldfish to the total no of animals.

Here total no of animals could be

= 6 + 12

= 18

Learn more: brainly.com/question/17429689

Help me with 8,9,10 please I really need help with this!!! Just real answers please

Answers

Answer:

The measure of side CD is 18cm

The measure of side BD is 15+15= 30cm

The perimeter of triangle CDE is 15+15+18 = 48cm

‼️ PLEASE HELPPPPP ‼️

Answers

the radius should be 4.51

HELP

Can some one help me with these 4 problems, I need to find the area, and con you pls explain how you got the answer so I can understand and practice.

Answers

Answer:

1. 380.13

2. 254.47

3. 254.47

4. 153.94

Step-by-step explanation:

Since its a hassle to explain how to solve all 4 problems I'll explain how to solve one of them

For example #1

To solve this:

Use formula A=πr2

Input the radius into the equation

A=π·11²

Multiply all the values

A= 380.13

[tex]x^{2} 86\sqrt[n]{x} 765997\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] 886600x_{123} 87686\alpha 86865[/tex]




SOLVE

Answers

Answer:not sure

Step-by-step explanation:

just robbing ur points

next time dont do it to me :)

Solve 3x2−3x=0 by factoring.

Answers

Answer:

3x(x-1) = 0

x= 1

Step-by-step explanation:

is 3x2 supposed to mean 3x^2 i dont know

The Thompson Family has a garden in their backyard. They take the produce each week to a local farmers market. Use the graph to answer question. What percent of the garden is tomatoes? Show work for full credit.

Answers

Answer: 20%

Step-by-step explanation:

The total # of plants is 30, so what you do is take the # of tomatoes over 30. (6/30) and then x/100 so the formula would be 6/30=x/100. Then you would cross multiply and solve! so your answer is 20%

What percentage of students in the school that attend the talent show for the years 2008 2013 or shown

Answers

Where is the worksheet at so i can help

Answer:

Step-by-step explanation:

266

What is the domain and range of the following quadratic function?

Answers

Answer:

thats a scam ^

dont click the link ir search

Kara has 10 books on a shelf and decides to move 3 of them to an empty shelf. In how many different ways can the empty shelf be filled?

Answers

The empty shelf can be filled in 120 ways

The total number of books is

[tex]n = 10[/tex]

The number of books to move is:

[tex]r = 3[/tex]

To fill the empty shelf with three books, we make use of the following combination formula

[tex]^{n}C_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^{10}C_3 = \frac{10!}{(10 - 3)!3!}[/tex]

Evaluate the expression

[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]

Expand

[tex]^{10}C_3 = \frac{10 \times 9 \times 8 \times 7!}{7! \times 3\times 2 \times 1}[/tex]

Cancel out the common factors

[tex]^{10}C_3 = \frac{10 \times 9 \times 8}{3\times 2 \times 1}[/tex]

Evaluate the products

[tex]^{10}C_3 = \frac{720}{6}[/tex]

Divide

[tex]^{10}C_3 = 120[/tex]

Hence, the empty shelf can be filled in 120 ways

Read more about combinations at:

https://brainly.com/question/11732255

Anyone please help asap

Answers

Answer:

Step-by-step explanation:

area of the big square plus the area of the little rectangle.

total area = s² + bh

                = 7² + (4)(3)   ft²

Identify three pythagorean triples using the known triple 8, 15, 17. What does this mean?​

Answers

Answer:

yes

Step-by-step explanation:

8² + 15² = 17²

64 + 225 = 289

289 = 289

Lin and Noah are solving the equation `7(x+2)=91`. Lin starts by using the distributive property. Noah starts by dividing each side by 7. Show what Lin's and Noah's full solution methods might look like.

HELPPP

Answers

Answer:

Step-by-step explanation:

Lin’s method

- multiply both x and 2 by  7

7x+14 = 91

- add -14 at both members

7x+14-14 = 91-14

7x = 77

- divide the two members by 7

x = 11

Noah’s method

- divide the two members by 7

x+2 = 13

- add -2 at both members

x+2-2 = 13-2

x = 11

Answer:

The solution is x=11

Step-by-step explanation:

The original equation is

7(x+2)=91

Lin uses the distributive property, which states that

a (x+y) = ax + ay

By applying the property to this case,

7(x+2)=91

7x+14=91

Then we subtract  14 on both sides:

7x+14 - 14 = 91-14

7x=77

Finally, we divide by 7 on both sides:

7x÷7 = 77÷7

x=11

Noah starts by dividing each side by 7, so he gets:

7(x+2)÷7 = 91÷7

x+2= 13

Then he can subtract +2 from both sides:

x+2-2 =13 - 2

x=11

So, they get the same result. The similarity between the two methods is that  they both divide by 7, while the difference is that Lin has to subtract 14, while Noah has to subtract 2.

I NEED HELP WITH MY MATH NOWWW PLSSS HELP ME

Answers

Answer:

no

Step-by-step explanation:

she still has to multiply by two because there are 2 each of the rectangles that she is calculating the area of. the correct formula would be 2(8*16+8*12+16*12)

Answer:

No.

Step-by-step explanation:

The surface area formula of a right rectangular prism is 2(wl * hl * hw). The height is 12, width is 8, and length is 16. (these sides don't matter, the area will always be 832.) Anyway, our dear Muna did all the steps right, except she has to multiply all that she did by 2. She forgot to do that part

Please help me it’s due soon!!

Answers

Answer:

12√2

Step-by-step explanation:

It's 12√2 because the hypotenuse of the triangle is 12. that means for a^2 + b^2 = c^2, we get c^2 = 144. a and b are equal so the answer is 6√2.

Also, don't any links you see on this site, they are hackers

which is greater ? | -5| or 4

Answers

Answer:

4

Step-by-step explanation:

Answer:

|-5|

Step-by-step explanation:

|-5| = 5

5 > 4

|-5| > 4

Solve for x

x^2 + x - 6 = 0

Answers

Answer:

X = 2 and -3

Step-by-step explanation:

I  hope this helps :)

\large f\left(x\right)=2\left(x+5\right)^2-7

Answers

Which word could you use to describe the author's purpose in an argument?

Convince

Describe

Entertain

Inform

The line plot below shows data on the total number of hours that each volunteer spent at a nature center one week. Which question cannot be answered using the data in the graph

Answers

Answer:

How many volunteers worked a total of 4 hours

Step-by-step explanation:

Its right i got a one hundred my test

Answer:

How many volunteers worked at a total of 4 hours?

Step-by-step explanation:

Practice for Triangle Ratios (Sides) Please Help!!

Answers

Answer:

hi

Step-by-step explanation:

i think 15 or 8

hope it helps

Other Questions
describe (a) the similarities and (b) the differences between the bulk-deformation processes described in chapter 6 and the sheet metal forming processes described in this chapter. A firm's production function is the relationship between:the inputs employed by the firm and the resulting costs of production.the factors of production and the resulting outputs of the production process.the demand for a firm's output and the quantity it is able to produce with available resources.the firm's production costs and the amount of revenue it receives from the sale of its output.The term "fixed input" refers to:inputs to production that do not vary with respect to quality.inputs to production that do not vary in price.inputs to production that yield a constant or "fixed" marginal product.inputs to production, the quantity of which cannot be varied in the short run.The main difference between the short run and the long run is that:in the short run all inputs are fixed, while in the long run all inputs are variable.in the short run the firm varies all of its inputs to find the least-cost combination of inputs.in the short run, at least one of the firm's input levels is fixed.in the long run, the firm is making a constrained decision about how to use existing plant and equipment efficiently.Which of the following would be classified as a short-run decision?A firm's decision to decrease the amount of electricity used in day-to-day operations by encouraging employees to adopt conservation strategies, e.g., shut off lights when leaving a room.A restaurant's decision to increase the number of patrons it can accommodate by adding on a new dining room.A trucking firm's decision to move to a smaller facility.A university's decision to add a new residence hall.The amount of output a firm can produce with a given quantity of fixed and variable inputs is called:total product.average variable product.marginal product.total fixed product.The following is a hypothetical short-run production function:Hours of Total MarginalLabor Product Product0 ___ ___1 100 1002 ___ 803 240 ___Refer to the table shown here. What is the total product when 2 hours of labor are employed?Refer to the table shown here. What is the marginal product of the third hour of labor?6080100240The following is a hypothetical short-run production function:Hours of Total MarginalLabor Product Product0 ___ ___1 100 1002 ___ 803 240 ___Refer to the table shown here. What is the average product of the first three hours of labor?6080100240The following is a hypothetical short-run production function:Hours of Total MarginalLabor Product Product0 ___ ___1 100 1002 ___ 803 240 ___Refer to the table shown here. 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