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loris [4]
3 years ago
9

For what value of x should you evaluate the polynomial P(x)= 2x^3-x^2-5x-2 to determine if 2x-3 is a factor of p(x)??

Mathematics
1 answer:
liberstina [14]3 years ago
8 0

Answer:

\dfrac{3}{2}

Step-by-step explanation:

If 2x - 3 is a factor of P(x), then  3/2 is a zero of P(x).

\begin{array}{rcl}2x - 3 & = & 0\\2x & = & 3\\\\x & = & \mathbf{\dfrac{3}{2}}\end{array}\\\\\mathbf{P(\frac{3}{2})} \text{ will equal zero if $(2x-3)$ is a factor of $P(x)$}

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Robin can clean 72 rooms in 6 days how many rooms can robin clean in 9 days
galben [10]

Hello!

Robin can clean 72 rooms in 6 days. How many rooms can Robin clean in 9 days?

We have a proportional magnitude (directly proportional), if we increase the number of days for cleaning, obviously we will have more rooms cleaned, then:

clean rooms __________ days

72 ----------------------------------- 6

y ------------------------------------- 9

\dfrac{72}{y} = \dfrac{6}{9}

multiply the means by the extremes

6*y = 72*9

6\:y = 648

y = \dfrac{648}{6}

\boxed{\boxed{y = 108}}\Longleftarrow(clean\:rooms)\end{array}}\qquad\checkmark

Answer:  

108 clean rooms in 9 days  

________________________

I Hope this helps, greetings ... Dexteright02! =)

6 0
3 years ago
Which is the range of this function?<br> {(-5, 7), (-3, 10), (0, 2), (4, 6), (9, 0)}
qaws [65]

Answer:

{y | y = -9, -3, 0, 5, 7}

Step-by-step explanation:

i think thats the anwer

7 0
3 years ago
Is 10/18 in decimal form a terminates or repeating decimal
Oksana_A [137]

Hey there! I'm happy to help!

To write a fraction as a decimal, you simply divide the numerator by the denominator.

10÷18=0.55555.... (the 5s never end!)

We see that the 5s repeat forever. This means that this is a repeating decimal.

Have a wonderful day! :D

6 0
3 years ago
A high school track is shaped as a rectangle with a half circle on either side.
Ilia_Sergeevich [38]

Answer:

Option (3)

Step-by-step explanation:

Track is shaped as a rectangle with a semicircle on either side.

Therefore, length of the track = 2(Length of rectangle) + perimeter of a complete circle formed by joining the semicircles on each side.

= 2(96) + 2πr

= 192+2\pi (\frac{35}{2})

= 192 + 35π

= 192 + 109.9

= 301.9 m

Since, Jake plans to run four laps.

Therefore, distance covered by Jake = 4 × 301.9

                                                              = 1207.6 m

Option (3) will be the correct option.

8 0
3 years ago
Read 2 more answers
What's the elapsed time between 2:16am and 8:10pm
svet-max [94.6K]
2:16+5:54= 8:10 I think this is the answer
5 hours and 54 minutes
6 0
4 years ago
Read 2 more answers
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