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Evgesh-ka [11]
3 years ago
15

The principal would like to assemble a committee of 4 students from the 16-member student council. How many different committees

can be chosen?
Mathematics
1 answer:
mamaluj [8]3 years ago
3 0

Answer:

4?

Step-by-step explanation:

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Suppose the roots of the equation 2x^2−5x−6=0 are α and β.Find the quadratic equation with roots 1/α and 1/β.​
pochemuha

Answer:

6x² + 5x - 2 = 0

Step-by-step explanation:

Given

2x² - 5x - 6 = 0 ← in standard form

with a = 2, b = - 5, c = - 6, then

sum of roots α + β = - \frac{b}{a} = \frac{5}{2}

product of roots = \frac{c}{a} = - 3, then

sum of new roots = \frac{1}{\alpha } + \frac{1}{\beta }

= \frac{\beta+\alpha  }{\alpha \beta }

= \frac{\frac{5}{2} }{-3} = - \frac{5}{6}

product of new roots = \frac{1}{\alpha } × \frac{1}{\beta }

= \frac{1}{\alpha\beta  } = - \frac{1}{3}

Hence the required equation is

x² + \frac{5}{6} x - \frac{1}{3} = 0 or

6x² + 5x - 2 = 0 ( multiplying through by 6 )

                           

8 0
3 years ago
An article bought a television for 2500 dollars and sold for 2325dollars find a.loss b.loss%​
SpyIntel [72]

Answer:

Loss= $175

Loss %= 7%

Step-by-step explanation:

First of all, you find the difference between 2500 and 2325 which is 175, as his has decreased, it is a loss of $175

To find the percentage you do the difference over the original amount

So 175/2500 which will give you 0.07

0.07 x 100 will give you 7%

5 0
2 years ago
Jim weighs 30 pounds less than Tom, and together they weigh 210 pounds. Let n = Tom's weight in pounds.
zlopas [31]

The equation that represents the given problem is (n-30) + n = 210. The correct option is the first option (n-30) + n = 210

<h3>Linear equation</h3>

From the question, we are to write an equation for the given problem

From the given information,

n = Tom's weight in pounds

If Jim weighs 30 pounds less than Tom

Then,

Jim weighs (n - 30)

Thus,

The sum of their weight is

(n-30) + n

∴ (n-30) + n = 210

Hence, the equation that represents the given problem is (n-30) + n = 210. The correct option is the first option (n-30) + n = 210

Learn more on Linear equations here: brainly.com/question/4681624

#SPJ1

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2 years ago
Find the exact solutions of the problem algebraically: tan 2x-cot x=0
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Tan 2x - cot x = 0
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2tan^2 x - (1 - tan^2 x) = 0
2tan^2 x - 1 + tan^2 x = 0
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tan x = + or - 1/√3
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