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pochemuha
3 years ago
13

Find the vertex of this parabola: y = -x2 + 6x - 8

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0

Answer:

4x-8

Step-by-step explanation:

y=-x2+6x-8

y=4x-8

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Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x
Nuetrik [128]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

f(x) = (x - (7 + i)) (x - (5 - i))

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48

5 0
1 year ago
Could someone explain and help
vichka [17]

Answer:

  80°

Step-by-step explanation:

The sum of the two angles (red and blue) is 145°, so you have ...

  (4x +5)° +(6x -10)° = 145°

  10x = 150 . . . . . . . . divide by °, add 5, simplify

  x = 15 . . . . . . . . . . . divide by 10

Then the measure of the angle of interest is ...

  m∠XMN = (6x -10)° = (6·15 -10)° = 80°

8 0
3 years ago
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Gwar [14]
So we have to find b we are going to try to isosiate b 
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8 0
3 years ago
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ExtremeBDS [4]
1. W=16-4=12
2. X=-12-7=-19
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Both questions 4 and 7 aren’t written correctly!!
8 0
2 years ago
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Andru [333]

Answer:

1/6

Step-by-step explanation:

There are 6 large squares here, all of which have been shaded but for one.

Thus, the desired fraction is 1/6.

8 0
2 years ago
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