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3 years ago

For what real values of does the quadratic 12x^2+k*x+27=0 have nonreal roots

Mathematics

2 answers:

Andrews [41]3 years ago

5 0

Answer:

If a quadratic has nonreal roots, then the discriminant . b^2 - 4ac

Plug in the values for b, a, and c into this equation to get . k^2-4 *12*27 < 0

Rearrange to get . k^2 < *12*27

Now factorize 4*12*27 and solve to get - 36 < k<26

Step-by-step explanation:

hope this help

pick ne as the brainliest

icang [17]3 years ago

3 0

Step-by-step explanation:

Discriminant : k² - 4(12)(27) < 0

So k² - 1296 < 0, -36 < k < 36.

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Darius bakes 18 muffins for his friends. he gives each of his friends an equal number of muffins and has none left over

Aleonysh [2.5K]

Factors of 18

If he has 1 friend, he gives 18 cookies
2 friends, 9 each
3 friends, 6 each
6 friends, 3 each
9 friends, 2 each
18 friends, 1 each

these are the common factors of 18. I don't know whether fractions are applicable here but I hope this helps.

6 0

3 years ago

All of the following are terminating decimals except

aalyn [17]

__
4/9= 0.444 ==> never ending, repeating
1/5= 0.2 =====> terminating
19/50= 0.38 => terminating
5/8= 0.625 ==> terminating

All of the above are terminating decimals except for 4/9!!

Memes (for stupidity) :
Everyone is entitled to be stupid,
But you abuse the privilege

You find it offensive,
I find it funny...

That's why I'm happier than you!

7 0

3 years ago

Read 2 more answers

Use the discriminant to predict the nature of the solutions to the equation 4x-3x²=10. Then, solve the equation.

AleksandrR [38]

Answer:

Two imaginary solutions:

x₁= $\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

x₂ = $\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

Step-by-step explanation:

When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.

The discriminant gives us information on how the solutions of the equations will be.

If the discriminant is zero, the equation will have only one solution and it will be real
If the discriminant is greater than zero, then the equation will have two solutions and they both will be real.
If the discriminant is less than zero, then the equation will have two imaginary solutions (in the complex numbers)

So now we will work with the equation given: 4x - 3x² = 10

First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0

So:

4x - 3x² = 10

-3x² + 4x - 10 = 0 will be our equation

with this information we have that a = -3 b = 4 c = -10

And we will find the discriminant: $b^{2} -4ac = 4^{2} -4(-3)(-10) = 16-120=-104$

Therefore our discriminant is less than zero and we know that our equation will have two solutions in the complex numbers.

To proceed to solve the equation we will use the general formula

x₁= (-b+√b²-4ac)/2a

so x₁ = $\frac{-4+\sqrt{-104} }{2(-3)} \\\frac{-4+\sqrt{-104} }{-6}\\\frac{-4+2\sqrt{-26} }{-6} \\\frac{-4+2i\sqrt{26} }{-6} \\\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

The second solution x₂ = (-b-√b²-4ac)/2a

so x₂= $\frac{-4-\sqrt{-104} }{2(-3)} \\\frac{-4-\sqrt{-104} }{-6}\\\frac{-4-2\sqrt{-26} }{-6} \\\frac{-4-2i\sqrt{26} }{-6} \\\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

These are our two solutions in the imaginary numbers.

7 0

3 years ago

Please complete the table.

dezoksy [38]

Answer:

10-35-45 and 5-17.5-22.5

Step-by-step explanation:

8 0

3 years ago

If you spun the spinner 100 times, how many times do you predict that you would spin a number less than 5 on a spinner of 1-6

Roman55 [17]

Answer:

67 times

Step-by-step explanation:

Spinner's sample space = (1, 2, 3, 4, 5, 6)

Number less than 5 = (1, 2, 3, 4)

Total possible outcomes = 6

Required outcome = 4

P(number less than 5) = required outcome / Total possible outcomes

P(number less than 5) = 4 /6 = 2/3

Number of spins = 100

Predicted Number of times a number less than less than 5 is spurn in 100 spins :

100 * 2/3

= 66.666

= 67 times

8 0

3 years ago