the equation 2x^2+5kx+k=0, where k is a constant has no real roots. Find possible values of k

Answers

Answer 1

Step-by-step explanation:

What do you mean "no real roots" ?

if I understand correctly we have

2x² + 5kx + k = 0

the solutions for such a quadratic equating are

x = (-b ± sqrt(b² - 4ac))/(2a)

a = 2

b = 5k

c = k

so, we get

x = (-5k ± sqrt(25k² - 8k))/4

why would that have no real solutions ?

e.g. k = 2

x = (-10 ± sqrt(100 - 16))/4 = (-10 ± sqrt(84))/4

since the sqrt is a little bit bigger than 9 we get 2 negative solutions for x. but still real.

I don't understand what your need here.


Related Questions

how many ways can the letters a, b, c, d, e be arranged where d and e cannot be next to eachother

Answers

Answer:

Step-by-step explanation:

a

Part F
Describe the shape of the graph.

Answers

This graph is growing exponentially, 0.5 more each time at every point

ILL GIVE BRAINLIEST!!! Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy?

Answers

Answer:

The answer is 7 she Can Buy 7 packages of cookies.

Step-by-step explanation:

1. 15-5.50=9.50

2.9.50-7.75=1.75

3. 1.75-0.25*7=0

She wouldn't have any money left over to buy it

The circumference of a circular garden is 72.22 feet. What is the radius of the garden?

Answers

Answer:

36.11 feet

Step-by-step explanation:

If the circumfrence goes across the circle, and the radius goed halfway, substitute the measuremants. C/2. So, divide 72.22 by 2 and you get 36.11 feet!

Please help me on my homework


i dont know what the next sequence is

Answers

The next term of the sequence is 9

The terms of the sequence are given as:

64, 49, 36, 25, 16,...

When the above sequence is analyzed, we can see that:

Each term of the sequence is a perfect square

So, the sequence can be rewritten as:

8^2, 7^2, 6^2, 5^2, 4^2, ....

The next term would be 3^2.

The square of 3 is 9

i.e. 3^2 = 9

Hence, the next term of the sequence is 9

Read more about sequence at:

https://brainly.com/question/7882626

6.
Write the equation of the parabola in vertex form.



A. y = x2

B. y = 1/4x^2 + 1

C. y = 1/4x^2

D. y = 1/4( x - 2)^2 + 1

Answers

Answer:  The answer is NOT Letter B

C. y = 1/4x^2

Step-by-step explanation:  I used math.way

A.    y = x^2  = Rewrite in vertex form and use this form to find the vertex ( h , k ) .  ( 0 , 0 )    =Find the vertex form.  y = x 2

B.    y = 1/4x^2 + 1  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 0 , 1 )    =Find the vertex form.   y = 1 /4 ⋅ ( x + 0 ) 2 + 1

C.    y = 1/4x^2  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 0 , 0 )  =Find the vertex form.   y = 1 /4 x 2

D.    y = 1/4( x - 2)^2 + 1  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 2 , 1 )    = Already in vertex form.   y = 1 /4 ( x − 2 ) 2 + 1

There are 1,000 students in Sharon's high school. 65% of the students are taking Spanish. How many students are taking Spanish?

Answers

Answer:

650 students are spanish.

Step-by-step explanation:

just say 1,000 people = 100%

then 650 students would = 65%

Hope I helped

65/100 * 1000
= therefore 650 students are doing Spanish.

HELP PLS ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answers

Answer:

with what 0-0 are youy okay?

Step-by-step explanation:

- The point A(8, – 7) is reflecteabver the origin and its image is point B. What are the coordinates of point B?​

Answers

Answer: Definitely point A

Step-by-step explanation:

Which algebraic expression is equivalent to this expression?
6(22 - 12) + 63
Help me please!!

Answers

The numerical value of this algebraic expression is 123

Step-by-step explanation:

To solve this algebraic expression, we're going to subtract the numbers indicated in parentheses, and finally, we're going to multiply and add the numbers.

Resolution:

[tex]\large \sf =6(22 - 12) + 63[/tex]

[tex]\large \sf =6(10) + 63[/tex]

[tex]\large \sf =60 + 63[/tex]

[tex]\boxed{\boxed{{\large \sf 123}}}[/tex]

Therefore, we can conclude that the numeric value of this expression will be 123


2. Jones has already taken 1 page of notes on his own, and he will take 2 pages during each hour of class. If after 4 hours, he had 9 pages of notes completed, at what rate did he complete the
note pages during those 4 hours?
O 2.25 pages per hour
O 2 pages per hour
O 2.5 pages per hour
0 4 pages per hour

Answers

Answer:

2.25

Step-by-step explanation:

if you did 4ph you would get 16 so no. if you did 2ph you would get 8 so no. if you did 2.5ph you would get  8.20 so no but if you did 2.25ph you would get 9 c:

Answer:

A) 2.25 pages per hour

Step-by-step explanation:

Let the average rate is x.

We have:

1 + 4*2 = 4x

Solve for x:

4x = 9 x = 9/4x = 2.25

Correct choice is A

Andrew invests $9000

Answers

What are you asking?

Find the volume of a coffee can with r=7.5 cm, h= 16.8 cm, to the nearest cubic centimeter.

Answers

Answer:

V = 2968.8 cm³ or 2969 cm³

Step-by-step explanation:

Given the radius, r = 7.5 cm, of a cylindrical coffee can whose height, h = 16.8 cm:

We can find the volume of a cylinder by using the following formula:

V = πr²h

Substitute the given values into the formula:

r = 7.5 cm

h = 16.8 cm

V = πr²h

V = π(7.5)²(16.8)

V = π × 56.25 × 16.8

V = 2968.8 cm³ or 2969 cm³

Therefore, the volume of a coffee can is 2969 cm³.

Two trains leave towns 566 kilometers apart at the same time and travel toward each other. One train travels 11 km/h slower than the other. If they meet in 2 hours, what is the rate of each train?​

Answers

Answer:

The speeds are 74 mph and 87 mph.  

Step-by-step explanation:

Let x = speed of slower train

     x + 13 = speed of faster train

 

The trains meet when the sum of the distances = 483

 

3x + 3(x+13) = 483

 

6x + 39 = 483

 

6x = 444

 

 x = 74 mph

 

The speeds are 74 mph and 87 mph.  

Admission to a baseball game is $2.50 for general admission and $5.00 for reserved seats. The receipts were $3667.50 for 1109 paid admissions. How many of each
ticket were sold? (Round to nearest integer if necessary.)

Answers

The general admission tickets sold are 1467 and the number of  reserved seats tickets sold is 358.

Two equations would be derived from the question:

$2.50a + $5b = $3667.50 equation 1

a + b = 1109 equation 2

Where:

a - number of people for the general admission

b = number of people for the reserved seats

To determine the value of b, take the following steps:

Multiply equation 2 by 2.5

2.5a + 2.5b = 2772.50 equation 3

Subtract equation 3 from 2

2.5b = 895

Divide both sides by 2.5

b = 358

In order to determine the value of a, substitute for b in equation 2

358 + a = 1109

a = 1109 - 358 = 1467

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

x divide3=8 solve equation for x

Answers

Answer:

x = 24

Step-by-step explanation:

x ÷ 3 = 8

you multiply both sides by three

so it cancels out 3 and 8 × 3 = 24

so your answer is 24

hope this helps

Complete the equivalent fraction.2/1= /18

Answers

2/1=36/18 is the completed equivalent fraction.

Step by step:

2/1=2.

/18=2

18*2=36

36/18=2

2=2!

Hope this helped!! :)

Divide 2/3 by 1/5. Simplify your answer and write it as a mixed number.

Answers

Answer:

3.33

Step-by-step explanation:

3.33

mixed number= 3 1/3

Answer:

3 1/3

Step-by-step explanation:

[tex]\frac{\frac{2}{3}}{\frac{1}{5}}[/tex] =

[tex]\frac{2}{3} * \frac{5}{1} = \frac{10}{3}[/tex]

10/3 = 3 1/3

-Chetan K

will mark as brain list plzzz help no links

Answers

Answer:

Step-by-step explanation:

the answer is 10

10 or D
Because 7x6 is 42 you can just divide 51 and 5
Good luck :)

On a particular stretch of highway, the State Police know that the average speed is 62 mph with a standard deviation of 5 mph. On a busy holiday weekend, the police are concerned that people travel too fast. So they randomly monitor speeds of a sample of 50 cars and record an average speed of 66 mph. Use central limit theorem to calculate

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem:

Mean of 62 mph, hence [tex]\mu = 62[/tex].Standard deviation of 5 mph, hence [tex]\sigma = 5[/tex].Sample of 50 cards, hence [tex]n = 50, s = \frac{5}{\sqrt{50}} = 0.7071[/tex]

The probability of a sample of 50 cars recording an average speed of 66 mph or higher is 1 subtracted by the p-value of Z when X = 66, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{66 - 62}{0.7071}[/tex]

[tex]Z = 5.66[/tex]

[tex]Z = 5.66[/tex] has a p-value of 1.

1 - 1 = 0.

There is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.

A similar problem is given at https://brainly.com/question/24663213

Find the general solution of the given differential equation x2 y’ -2xy = x4 + 3

Answers

[tex] \times 2 \: y \: - 2xy = \times 4 + 3 = \times - \frac{3}{4} \: y \: e \: r[/tex]

pls help with this
15 points
with calculations also so i understand

Answers

Answer:

4200

Step-by-step explanation:

[tex]men = x \\ 360 - 130 = 260 \\ 260 = 2800 \\ 130 = x \\ 2800 \times 130 \div 260 = 1400 \\ total = 1400 + 2800 \\ = 4200[/tex]

9514 1404 393

Answer:

  10080

Step-by-step explanation:

The angle occupied by Women voters is ...

  360° -130° = 230°

Then the angle difference between the two sections is ...

  Women voters - Men voters = 230° -130° = 100°

The number of voters is proportional to the angle they occupy on the pie chart. That means ...

  (difference in voters) / (total voters) = (difference angle) / (total angle)

  2800 / (total voters) = 100° / 360°

Cross multiplying gives ...

  360° × 2800 = 100° × (total voters)

Dividing by 100° gives ...

  total voters = (360/100)×2800 = 10080

The total number of voters in the election is 10080.

The ratio of boys to girls in the class is 4 to 5. If there are 18 boys and girls in the
class, how many of each are there?

Answers

Answer:

8 boys and 10 girls

Step-by-step explanation:

If the ratio is 4:5,

4x2 + 5x2 equal 8+10 =

18.

4:5=8:10

Answer:

8 boys

10 girls

Step-by-step explanation:

4:5

8:10

8+10=18

Carly spent $150 on supplies and $125 on labor for her home. She could not spend more than $500 total. Which of these is a valid statement?

Answers

Answer:

she could spend up to $225 on more supplies

Step-by-step explanation:

the total amount of supplies and labor has to be less than or equal to $500. If she spent $150 and $125=$275 on supplies and labor, the equation would be 150+125+x≤ 500. Isolate x, to get x≤ $225. The value of x has to be less than or equal to $225.

From a club with 12 members, how many ways could you choose a committee of 5?

Answers

Step-by-step explanation:

that is 12 over 5

12! / (5! × (12-5)!) = 12×11×10×9×8/5×4×3×2 =

= 11×9×8 = 792

I'll give brainiest whoever answers first

Answers

aight slide it here big boy

y-3=1/2(x-7)

PLS HELP ME OUT GUYS

Answers

Answer:

X = -1

Step-by-step explanation:

y - 3 = 1/2 (x - 7)

x would equal -1.

Divide $5100 in the ratio 4:3

Answers

Answer:$2914.26:$2185.71

Can anyone please help me?? Please?

Look at the given table of values and write the ordered pairs that represent the inverse of the function.

Answers

-7
+6
+2
+5
+9 that’s the answer

Let g(x)=Intragal from 0 to x f(t) dt, where r is the function whos graph is shown.
Picture attached with question and graphs. As well as points needed

Answers

If

[tex]\displaystyle g(x) = \int_0^x f(t) \, dt[/tex]

then g(x) gives the signed area under f(x) over a given interval starting at 0.

In particular,

[tex]\displaystyle g(0) = \int_0^0 f(t) \, dt = 0[/tex]

since the integral of any function over a single point is zero;

[tex]\displaystyle g(4) = \int_0^4 f(t) \, dt = 8[/tex]

since the area under f(x) over the interval [0, 4] is a right triangle with length and height 4, hence area 1/2 • 4 • 4 = 8;

[tex]\displaystyle g(8) = \int_0^8 f(t) \, dt = 0[/tex]

since the area over [4, 8] is the same as the area over [0, 4], but on the opposite side of the t-axis;

[tex]\displaystyle g(12) = \int_0^{12} f(t) \, dt = -8[/tex]

since the area over [8, 12] is the same as over [4, 8], but doesn't get canceled;

[tex]\displaystyle g(16) = \int_0^{16} f(t) \, dt = 0[/tex]

since the area over [12, 16] is the same as over [0, 4], and all together these four triangle areas cancel to zero;

[tex]\displaystyle g(20) = \int_0^{20} f(t) \, dt = 24[/tex]

since the area over [16, 20] is a trapezoid with "bases" 4 and 8, and "height" 4, hence area (4 + 8)/2 • 4 = 24;

[tex]\displaystyle g(24) = \int_0^{24} f(t) \, dt = 64[/tex]

since the area over [20, 24] is yet another trapezoid, but with bases 8 and 12, and height 4, hence area (8 + 12)/2 • 4 = 40, which we add to the previous area.

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As the water from the Amazon River reaches the Atlantic Ocean, its final destination, an estuary is formed. Which statement does BEST describe the water of this estuary? A) freshwater with salinity below 0.05% B) very high salinity, greater than that of the ocean C) salinity equal to that of the surrounding ocean waters D) brackish water with a salinity between the ocean and river water Which of the following is a healthy weight loss strategy? 1: Given that Ka for HCOOH is 1.810^-4 at 25C what is the value of b for COOH at 25 C? Kb=2: Given that b for (CH3)2 NH is 5.410^-4 at 25C, what is the value of Ka for (CH3)2NH+2 at 25 C? Ka= look at photo that is added fill in the blanks with the correct form of the verb in parentheses example Any one know the answer for this question?????? Multiply & Divide Fractions Task Card # 2934Beverly walks for exercisemile every day: How far doesshe walk each week? What is the greatest common factor of 18, 6, and 36? During a job interview, you are asked to rate on a scale of 1 to 5 how happy you are. What type of test is the interviewer giving you 1. Habla cinco personas sentadas a la mesa, pero an faltaba Tomas. 2. Antes no sabia nada acerca del bisbol, pero luego de leer la informace en internet, me considero un experto, 3. El almirante dio la orden para que la flota zarpara a primera luz. 4. Maria haba perdido la esperanza de encontrar el celular y decidi comprar o S. Mauricio nos cont que visit el Gran Can en Arizona durante el verano. 6. Mi primito se escondi entre los estantes de la biblioteca. 8. Clasica Cells of the nervous system which supports the neurons by producing myelin sheaths andattaching neurons to blood vessels are called: what is a 8096 rounded to 1 significant figure What type of fingerprint is this?O Plain whorlO Double archO Double loop whorlO Plain loop in adopting the fourteenth amendment, congress was primarily concerned with Many towns were set on fire in South Carolina by General Sherman's troops, including _______, the state capital. * When 36x^4 + 12x^8 is divided by 12x^4, the result is Which bank does not charge at all for using the ATM?Bank ABank BBank CBank DANSWER : Bank A I need help with a law of sines question. The owner of a lemonade stand mixes juice that costs 2 dollars per gallon with juice that costs 7 dollars per gallon. She gets 20 gallons of punch that costs 4 dollars per gallon. How much of each juice does she use? how many musicians were playing on the titanic when it sank in 1912?