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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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Yuliya22 [10]
1-(28-21)/28=.075

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4 years ago
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An 8.5-meter ladder is leaning against a vertical wall. How many meters is its base from the wall if the ladder reaches 7.5 mete
Monica [59]

Answer:

  4 m

Step-by-step explanation:

The geometry is that of a right triangle with hypotenuse 8.5 m and one side of length 7.5 m. If "b" represents the distance from the base of the ladder to the wall, the Pythagorean theorem tells us ...

  b² + 7.5² = 8.5²

  b² + 56.25 = 72.25

  b² = 16 . . . . . . . . . . . . . subtract 56.25

  b = 4 . . . . meters . . . (take the square root)

The base of the ladder is 4 m from the wall.

_____

You may recognize this as the 8-15-17 Pythagorean triple, scaled by 1/2.

7 0
4 years ago
Please help me on this question and please explain it thanks
arlik [135]
Based on the table, Josie is paid $43.75 for 5 hours work. For 1 week's work, the pay will be for 40 hours, 8 times that amount, or
.. Josie's weekly pay = 8*43.75 = 350.00

Based on the graph, Salvador gets paid $15.00 for 2 hours work. For 1 week's work, the pay will be for 40 hours, 20 times that amount, or
.. Salvador's weekly pay = 20*15.00 = 300.00

Josie earns 350 -300 = 50 more each week than Salvador. For Josie to earn 1000 more, we can solve the equation
.. 50*weeks = 1000
.. weeks = 1000/50 = 20

It will take Josie 20 weeks to earn $1000 more than Salvador does in the same period.
8 0
3 years ago
What is 2/3+1/2 as a decimal
erik [133]
<span>5/6 </span>is your answer as a fraction and as a decimal it is: 1.166666667 or rounded up to 2 d.p. its 1.17. This is because 2/3 means 2 ÷ 3 which is 0.6666667 and 1/2 mean 1 ÷ 2 which is 0.5. If you add these together you get 1.16666667.<span>
Hope I helped a bit. :)</span>
5 0
3 years ago
The sum<br> of three consecutive integers is - 126. What are the integers?
Leno4ka [110]
Let the three consecutive integers be x , x+1 ,x+2
Given, sum of three consecutive integers = -126
x +x+1+ x+2 = -126
3x +3 = -126
3x = -126 -3
3x = -129
x = -129/3
x = - 43
x +1 = -42
x +2 = -41
4 0
3 years ago
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