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Serga [27]
3 years ago
8

HELP TIMED TEST!!!!!!

Mathematics
1 answer:
aalyn [17]3 years ago
7 0

Answer:

-4 and 9

Step-by-step explanation:

factored

(x - 9)(x + 4) = 0

with   this  x*x - 5x - 36 = 0

so  x = 9  or  x = -4

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Scilla [17]
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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
2 years ago
I need help thank you.
Darina [25.2K]

Answer:

The answers and steps are in the picture

6 0
2 years ago
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olga55 [171]

Answer:

Sodas: 160

Hot Dogs: 80

Step-by-step explanation:

Sodas: s

Hot Dogs: d

s+d=240

s=2d

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s=160

7 0
3 years ago
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