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muminat
3 years ago
5

5) Is 3 a zero (or root) of f(x) = x3 - 9x2 + 11x + 21?

Mathematics
1 answer:
frozen [14]3 years ago
6 0

Answer:

Yes

Step-by-step explanation:

f(x) = x³ − 9x² + 11x + 21

f(3) = (3)³ − 9(3)² + 11(3) + 21

f(3) = 27 − 81 + 33 + 21

f(3) = 0

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10 teachers mark 500 exam papers in 30 hours. How many teachers are needed to mark 600 exam papers in 25 hours
kupik [55]

Answer:

Approximately 15 tea hees

Step-by-step explanation:

Given that:

Number of teachers needed to Mark 500 exam papers in 30 hours =

Hence, marking rate of each teachers ;

500 / (30 * 10) = 500 / 300 = 1.667 papers per hour

If teachers mark at this rate, the number of teachers which will be required to mark 600 exam papers in 25 hours ;

Let number of teachers = t

(Rate * number of hours * number of teachers) = number of exam papers to be marked

(1.6667 * 25 * t) = 600

41.666665t = 600

t = 600 / 41.666665

t = 14.40000

Number of teachers needed = about 15 teachers

4 0
3 years ago
Solve the system graphically:<br> y+3x=0<br> x−y=4<br> x+y=−2
garik1379 [7]

Answer:

x = 1, y = -3

Step-by-step explanation:

see graph above ^

5 0
3 years ago
TWENTY TWO POINTS
serious [3.7K]

the outputs are 5 1 -2 2

{ -2,1,2,5}

Choice D

4 0
3 years ago
I NEED HELP PLEASE ASAP! :)
Nonamiya [84]

Answer:

( About ) 1,099 pounds

Step-by-step explanation:

The force required to keep this truck from rolling down the hill is opposed by the force of friction, comparative to the 2600 pounds of force against this friction. It should be that this opposing force is at work more towards the bottom of this hill, and thus the question asks the magnitude of latter force to keep this truck idle -

|| F || = sin( 25 ) * ( Fg ) = sin( 25 ) * ( 2600 lb ) = ( About ) 1098.80748 pounds

<u><em>This can be rounded to a solution of 1099 pounds</em></u>

7 0
3 years ago
the art club held a show for 2 days a total 269 people attended the show. On the second day, 15 more people attended than had co
zmey [24]

Answer:

  • 127 people

Step-by-step explanation:

Number of attendees the first day = x.

<u>Solve the following equation for x:</u>

  • x + (x + 15) = 269
  • 2x = 269 - 15
  • 2x = 254
  • x = 254/2
  • x = 127
5 0
3 years ago
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