2 years ago

I need a answer for number 7

Mathematics

1 answer:

ANEK [815]2 years ago

6 0

3+3+2=8 8 is my answer.

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Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.

melomori [17]

Answer:

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

Find a quadratic polynomial with integer coefficients which has the following real zeros: $x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}$ .

Let be $r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}$ and $r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}$ roots of the quadratic function. By Algebra we know that:

$y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}$ (1)

Then, the quadratic polynomial is:

$y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}$

$y = 81\cdot x^{2}-36\cdot x -19$

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

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2 years ago

Compute the probability of randomly selecting a three or club.

Pavlova-9 [17]

Find the total number of cards in a deck. Count all the # 3’s total cards/#3 cards
Count all the clubs total card/ clubs
Not sure if you are counting 3’s & clubs together. If you are, total cards/ both
So all you have to do is count & then divide to get the probability.

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2 years ago

If all the edge lengths of a rectangular prism are multiplied by a scale factor of 2, how does the volume change?

Leni [432]

Answer:

The new volume is 4 times the old volume ♡

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2 years ago

The slope of the line below is 3. Use the coordinates of the labeled point (6, 8) to find a point-slope equation of the line.

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point-slope equation

y - 8 = 3(x - 6)

hope it helps

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