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Anvisha [2.4K]
4 years ago
14

6x^3-16x^2+17x-6?/3x-2

Mathematics
1 answer:
liraira [26]4 years ago
4 0

Answer:

2x² − 4x + 3

Step-by-step explanation:

x = 2/3 is a root of both the numerator and the denominator, so it divides evenly.  Therefore, one method is to factor by grouping:

6x³ − 16x² + 17x − 6

6x³ − 4x² − 12x² + 17x − 6

2x² (3x − 2) − (12x² − 17x + 6)

2x² (3x − 2) − (4x − 3) (3x − 2)

Divided by 3x − 2:

2x² − (4x − 3)

2x² − 4x + 3

Another method is to use long division (see image).

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To find the height, you will utilize the formula for area of a trapezoid.  A = h(b1 +b2)/2.  h is the height, b1 is the the first base, and b2 is the second base.  When you substitute the information given to us in the question, the equation that needs solved is 37.4 = h(6.4 + 12.3)/2.  You should multiply both sides by 2 to undo the dividing by 2.  This gives you 74.8 = h (18.7). To solve for the height, divide both sides by 18.7.  This gives us a cross sections height of 4 meters.  This is the answer!
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4 years ago
Jimmy has more than 123 dimes in his piggy bank. The number of dimes in his piggy bank is three times the number of quarters.
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4 years ago
Read 2 more answers
What is -1/11 simplified
TEA [102]
It’s just the same
Rewriting the fraction with the negative sign on the fraction gives us a negative fraction:

Answer = 1/11
7 0
3 years ago
Danielle says the answer is "A". Is she correct? If she is,why? And if she isn't,what is the correct answer?​
Naddik [55]

Answer:

She is incorrect. The correct answer is 285.74

Step-by-step explanation:

A= (pi)r^2

Training wheel: A= (3.14)(3)^2=28.26in^2

Wheel: A= (3.14)(10)^2= 314in^2

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3 0
3 years ago
0.285714 to a fraction
Blababa [14]

okay so put the decimal over 1 like this:

0.285714/1 then multiply by 10 for every number after the decimal point so if there were 2 numbers it would be 100

so 0.285714 times 1,000,000 is 287,514 and 1 times 1,000,000 is 1,000,000

so 287,514/ 1,000,000

simplified: 142,857/500,000 is your answer.



7 0
3 years ago
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