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spin [16.1K]
2 years ago
9

Factor the polynomial completely. 4x3 – 12x2 7x – 21 4x2(x – 3) 7(x – 3) Which is the completely factored polynomial? 4x2(x 4) 3

x2(x – 3) (4x2 – 7)(x 3) (4x2 7)(x – 3).
Mathematics
1 answer:
bixtya [17]2 years ago
7 0

Answer:

  (d)  (4x² +7)(x -3)

Step-by-step explanation:

This polynomial can be factored by factoring pairs of terms.

  = (4x³ -12x²) +(7x -21)

  = 4x²(x -3) +7(x -3)

  = (4x² +7)(x -3)

__

<em>Additional comment</em>

The answer choices suggest we're not interested in irrational or complex factors. The quadratic (4x² +7) could be factored into linear terms involving irrational complex numbers. The form for "difference of squares" would be used for the purpose.

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The water level of a certain body of water is changing at a rate of W(t)=3/4cos(4-t/2) inches per hour, where t represents hours
Leni [432]

Answer:

The answer is below

Step-by-step explanation:

a) The integral \int\limits^{10}_{1 } {W(t)} \, dt means the total change in level of water in inches from 1 am to 10 am. That is the water level change measured in inches between 1 am and 10 am

b) 7 pm is represented as t = 19 hours, while midnight is represented as t = 24 hours, hence the water level change between 7 pm and midnight is:

\int\limits^{24}_{19 } {W(t)} \, dt\\\\

c) Using casio calculator to evaluate the integral gives:

\int\limits^{24}_{19 } {W(t)} \, dt\\\\ = 2.54 inches

D) The total daily change in water level = \int\limits^{24}_{0 } {W(t)} \, dt\\\\ = 0.35 inches

8 0
3 years ago
In the American version of the Game Roulette, a wheel has 18 black slots, 18 red slots and 2 green slots. All slots are the same
m_a_m_a [10]

Answer:

-$0.26

Step-by-step explanation:

Calculation to determine the expected value of playing the game once

Expected value= [18/(18+18+2) x $5)]- [20/(18+18+2) x $5]

Expected value= ($18/38 x $5) - (20/38 x $5)

Expected value= ($2.37-$2.63)

Expected value= -$0.26

Therefore the expected value of playing the game once is -$0.26

5 0
3 years ago
Using the quadratic formula to solve 4x^2-3x + 9=2x + 1 what are the values of x​
Alchen [17]

Answer:

x=5±√−103/8

Step-by-step explanation:

There's no real solutions

4x2−3x+9−(2x+1)=2x+1−(2x+1)

4x2−5x+8=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(4)(8)/2(4)

x=5±√−103/8

8 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
chubhunter [2.5K]

Answer:

d is the correct answer

Step-by-step explanation:

6 0
3 years ago
Please answer this correctly
Lostsunrise [7]

Answer:

50

Step-by-step explanation:

The probability of it landing on yellow or blue is 5 out of 7 total possibilities.

5/7

Multiply by 70.

5/7 × 70

350/7

= 50

7 0
3 years ago
Read 2 more answers
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