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MissTica
3 years ago
13

Given a polynomial f(x), if (x + 5) is a factor, what else must be true?

Mathematics
1 answer:
PolarNik [594]3 years ago
4 0
Rule: If x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

Using that rule, we can see that x+5 is really x-(-5) so k = -5. 

Therefore,

p(k) = 0
p(-5) = 0

so the answer is choice D. 
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A typical running track is an oval with 74-m-diameter half circles at each end. a runner going once around the track covers a di
denpristay [2]

Answer:

Her centripetal acceleration during the turn at each end of the track is 0.432\, \frac{m}{s^{2}}

Step-by-step explanation:

Total distance covered in one round , D= 400 m

Time taken to cover one round , T = 1 min 40 s = 100 sec

Speed of runner , V=\frac{D}{T}=\frac{400}{100}\, \frac{m}{s}= 4.0\, \frac{m}{s}

Now centripetal acceleration is given by

a_c=\frac{V^{2}}{R}

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Radius, R= \frac{Diameter}{2}=\frac{74}{2}m=37\, m

\therefore a_c=\frac{4^{2}}{37}\, \frac{m}{s^{2}}=0.432\, \frac{m}{s^{2}}

Thus her centripetal acceleration during the turn at each end of the track is 0.432\, \frac{m}{s^{2}}

4 0
3 years ago
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sladkih [1.3K]

Answer:

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Step-by-step explanation:

the negative sign gives you a negative 6, which you can subtract from -14, giving you -20.

8 0
3 years ago
Hi! Can someone please help me with this math problem? Please show your work on how you got your answer. Thank you!
SVEN [57.7K]

Answer:

5=p

Step-by-step explanation:

18=3.50+2.75P

18-3.50=2.75p

14.5/2.75=2.75p/2.75


5=p

she can buy 5 popcorn

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