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Anna [14]
3 years ago
6

PLEASE HELP ME I HAVE TWO MINUTES LEFT BE NICE

Mathematics
1 answer:
9966 [12]3 years ago
4 0
Since there are two vowels out of the six letters given, you have a 1/3 chance.
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Roots of Quadratics 50 PTS!!!
noname [10]

The values of k for the different quadratic equation solutions are as follows

a  the equation 2x² - x + 3k = 0 has two distinct real roots

  • k < 1/24

b. the equation 5x² - 2x + (2k − 1) = 0 has equal roots

  • k = 3/5

ci the equation -x² + 3x + (k + 1) = 0 has real roots

  • k > -3.25

d the equation 3kx² - 3x + 2 = 0 has no real solutions

  • k < ± 1.633

<h3>How to solve quadratic equations to get different answers</h3>

Quadratic equations of the form ax² + bx + c = 0 is solved using the formula

-b+\frac{\sqrt{b^{2}-4ac } }{2a}     OR     -b-\frac{\sqrt{b^{2}-4ac } }{2a}

The equation b² - 4ac is called the discriminant and it is used as follows

To solve the equation and get two real roots: 2x² - x + 3k = 0

  • b² - 4ac > 0

substituting the values gives

(-1)² - 4 * 2 * 3k > 0

1 - 24k > 0

1 > 24k

divide through by coefficient of k

k < 1/24

To solve the equation and get equal roots: 5x² - 2x + (2k − 1) = 0

  • b² - 4ac = 0

substituting the values gives

(-2)² - 4 * 5 * (2k - 1) = 0

4 - 40k + 20 = 0

-40k = -24

divide through by coefficient of k

k = 3/5

To solve the equation and get real roots  -x² + 3x + (k + 1) = 0

  • b² - 4ac > 0

substituting the values gives  

(3)² - 4 * -1 * (k+1) > 0

9 + 4k + 4> 0

4k > -13

divide through by coefficient of k

k > -3.25

To solve the equation and get  no real solutions  3kx² - 3x + 2 = 0

  • b² - 4ac < 0

substituting the values gives  

(-3)² - 4 * 3k * 2 < 0

9 - 24k² > 0

9 > 24k²

divide through by coefficient of k²

k² < 24/9

k < ± 1.633

Learn more about roots of quadratic equations: brainly.com/question/26926523

#SPJ1

4 0
8 months ago
Read 2 more answers
Can someone help me please, I will give brainliest as soon as my app allows!!
Delicious77 [7]

Answer:

x=75

Step-by-step explanation:

8 0
2 years ago
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
bulgar [2K]
D
For these type of problems download photo math
It’ll be faster than here with steps!
8 0
2 years ago
Find the area of the garden?<br> 16 ft<br> 22 ft
Olenka [21]

Answer:

352

Step-by-step explanation:

Simple area problem just do 16x22 sorry for poor explanation

5 0
3 years ago
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Emily deposits $14,500 each year into a retirement account with a 7% simple interest rate. If she deposits the same amount each
soldier1979 [14.2K]
Hello! I believe she would have 58,000 at the end of her fourth year. Hope this helps. :)
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