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jeyben [28]
3 years ago
8

For what value of k are the roots of the quadratic equation kx (x-2)+6=0 equal?​

Mathematics
1 answer:
ser-zykov [4K]3 years ago
3 0

Answer:

\boxed{\sf k=6}

Step-by-step explanation:

\sf kx (x-2)+6=0

Expand brackets.

\sf kx^2 -2kx+6=0

This is in quadratic form.

\sf ax^2 +bx+c=0

Since this is for equal roots:

\sf b^2 -4ac=0

\sf a=k\\b=-2k\\c=6

\sf (-2k)^2 -4(k)(6)=0

\sf 4k^2-24k=0

\sf 4k(k-6)=0

\sf 4k=0\\k=0

\sf k-6=0\\k=6

Plug k as 0 to check.

\sf \sf 0x^2 -2(0)x+6=0\\6=0

False.

So that means k must equal 6.

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Precizează felul atributelor din enunțurile de mai jos, analizând părțile de vorbire prin care se exprimă.
Llana [10]

Answer:

Step-by-step explanation:

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8 0
3 years ago
What is the average rate of change of the function over the interval x = 0 to x = 6?
Ymorist [56]

Answer:

15 2/3, or 47/3

Step-by-step explanation:

I'm going to assume, correctly or not, that you actually meant f(x) = 2x^2 - (1/3)x + 5.  Double check on this right now, please.

If I'm right, then evaluate f(x) at x = 0 and x = 8:

f(0) = 5

and

f(8) = 2(8)^2 - (1/3)(8) + 5 = 128 - 8/3 + 5 = 133  - (2 2/3), or:   130 1/3

Then the average rate of change of f(x) = 2x^2 - (1/3)x + 5 over the interval [0,8] is:

               130 1/3 - 5         125 1/3

a. r. c. = ------------------- = ---------------- = 15 2/3, or 47/3

                    8 - 0                  8

6 0
3 years ago
Mrs. Price is making muffins using a total of 500 grams of gluten-free flour. The recipe calls
Nina [5.8K]

Answer:

45/100 and 225 g

Step-by-step explanation

You take the percentage, 45%, and put it over 100.

Multiply the total number of grams, 500, by the percent of oat flour.

5 0
3 years ago
Round each number to the underlined place. <br> 4.6666<br> The third 6 is underlined
Nadya [2.5K]
Hello There!

It would be 4.667.

Hope This Helps You!
Good Luck :)
3 0
3 years ago
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