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Serhud [2]
3 years ago
11

Find the value of k such that the quadratic polynomials x2-(k+6)x+2(2k+1) as sum of the zeroes as the half of their product

Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

  k = 5

Step-by-step explanation:

The sum of the zeros is the opposite of the coefficient of x, so is (k+6).

The product of zeros is the constant term, 2(2k+1), so half their product is (2k+1).

The problem statement asks us to find k so that these values are the same:

  k +6 = 2k +1

  5 = k . . . . . . . . subtract k+1

The value of k is 5.

_____

The zeros are 5.5±√8.25. Their sum is 11; their product is 22.

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2x - 4 &gt; 4<br> ...................
Veseljchak [2.6K]

Answer:

x>4

Step-by-step explanation:

8 0
3 years ago
WILL MARK BRAINLIEST + 10 POINTS!!!!<br> #2
Alenkasestr [34]

Answer:

○ -\frac{\sqrt{6} + \sqrt{2}}{4} = \frac{-\sqrt{6} - \sqrt{2}}{4}

Step-by-step explanation:

Input this trigonometric ratio into a scientific calculator, and you will end up with the above answer.

* I also included its high term, so you know which answer to choose from.

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7 0
3 years ago
What is the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively
ki77a [65]

The profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

<h3>Profitability index</h3>

First step is to find the Net present value (NPV)  of the given cash flow using discount rate PVF 16% and PV of cash flow which in turn will give us net present value of 49.7.

Second step is to calculate the profitability index

Profitability index  = 49.7/340

Profitability index  = .15×100

Profitability index=15%

Therefore the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

Learn more about Profitability index here:brainly.com/question/3805108

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3 0
1 year ago
A square in the board below and a letter in the word ATTENTION is chosen at
kolezko [41]

Answer:

4 /15

Step-by-step explanation:

From the number cube :

Count of Numbers greater than 4 = 16

Sample space of number cube = 20

P(number greater than 4) = 16 / 20 = 4/5

Word : ATTENTION

Count of letters in attention = 9

Count of T's in attention = 3

P(choosing T) = 3 / 9 = 1/3

P(greater than 4, then T) = 4/5 * 1/3 = 4 /15

5 0
3 years ago
John finds a toy train set John finds a toy train set on sale for 20% off at a toy store. The original price was $35. John
Helen [10]

Well here's your answer straight <u><em>he must pay 29.82$ </em></u>and here's my work,

  1. 20% of 35 is 7 and since its 20% off we must subtract 35-7=28
  2. Next it said there's a 6.5 tax so that means we are adding on to 28$
  3. 6.5 of 28 is 1.82 so we add 28+1.82 which equals your answer 29.82

5 0
3 years ago
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