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Feliz [49]
1 year ago
5

Which expression is equivalent to x³ - x² - 14x + 24?

Mathematics
1 answer:
serg [7]1 year ago
3 0

Answer:

<h3>A. ( x - 2 )( x - 3 )(x + 4 )</h3>

<h3>Step-by-step explanation:</h3>

<h3>x³ - x² - 14x + 24</h3>

<h3>1. Use the rational root theorem</h3>

= (x  - 2) \frac{x ^{3}  -x^{2}  - 14x + 24}{x - 2}

<h3>2. \frac{  {x}^{3} - {x}^{2}  - 14x + 24 }{x - 2}  =  {x}^{2}  + x - 12</h3><h3 />

= ( x - 2 )( x² + x - 12 )

<h3>3. Factor x² + x - 12 : ( x -3 )( x + 4)</h3>

= ( x - 2 )( x - 3 )(x + 4 )

<h3>Solution : </h3>

<h3>= ( x - 2 )( x - 3 )(x + 4 )</h3>
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Answer:

P=0.147

Step-by-step explanation:

As we know 80% of the trucks have good brakes. That means that probability the 1 randomly selected truck has good brakes is P(good brakes)=0.8 . So the probability that 1 randomly selected truck has bad brakes Q(bad brakes)=1-0.8-0.2

We have to find the probability, that at least 9 trucks from 16 have good brakes, however fewer than 12 trucks from 16 have good brakes. That actually means the the number of trucks with good brakes has to be 9, 10 or 11 trucks from 16.

We have to find the probability of each event (9, 10 or 11 trucks from 16 will pass the inspection) .  To find the required probability 3 mentioned probabilitie have to be summarized.

So P(9/16 )=  C16 9 * P(good brakes)^9*Q(bad brakes)^7

P(9/16 )= 16!/9!/7!*0.8^9*0.2^7= 11*13*5*16*0.8^9*0.2^7=approx 0.02

P(10/16)=16!/10!/6!*0.8^10*0.2^6=11*13*7*0.8^10*0.2^6=approx 0.007

P(11/16)=16!/11!/5!*0.8^11*0.2^5=13*21*16*0.8^11*0.2^5=approx 0.12

P(9≤x<12)=P(9/16)+P(10/16)+P(11/16)=0.02+0.007+0.12=0.147

7 0
2 years ago
A car travels m miles per hour. Which variable expression represents the number of miles traveled in 8 hours?
insens350 [35]

Answer:A Idk if this is right!

6 0
3 years ago
18 = 3 (3x - 6) help please!
Lady_Fox [76]

Answer: 4

Step-by-step explanation:

4 0
3 years ago
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denis23 [38]

Answer:

Okay the question is a little unclear, but if he's only doing english, science and history the answer should be <u> 17/40</u>

Step-by-step explanation:

1/5=8/40

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6 0
2 years ago
Read 2 more answers
What is the difference between the two graphs at X = -3
schepotkina [342]

Answer:

5

Step-by-step explanation:

Blue: when x = - 3, y = 5

Green: when x = -3, y = 0

The difference between the two graphs at X = -3 : 5 - 0 = 5

Answer

5

6 0
3 years ago
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