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forsale [732]
3 years ago
7

Please help!factor f(x)=6x^2-x-2​

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0

Hi there!

\large\boxed{(3x - 2)(2x + 1) }

6x² - x - 2

To solve, we must factor into the following format:

(ax - b)(cx - d)

The following conditions must be met:

a · c = 6

da + bd = -1

b · d = -2

By guessing and checking, we get:

(3x - 2)(2x + 1)

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A spring has natural length 20 cm. Compare the work W1 done in stretching the spring from 20 cm to 30 cm with the work W2 done i
sashaice [31]

Answer:

W1 = W2 = 50k Joules (assuming W1 and W2 have the same force constant, k)

W1 - W2 = 0

Step-by-step explanation:

Work done in stretching a spring is given by 1/2ke^2

Where, k is force constant and e is extension

e1 = 30cm - 20cm = 10cm

W1 = 1/2k(e1)^2 = 1/2×k×10^2 = 50k Joules

e2 = 40cm - 30cm = 10cm

W2 = 1/2k(e2)^2 = 1/2×k×10^2 = 50k Joules

W1 = W2 = 50k Joules provided W1 and W2 have equal force constant

Therefore, W1 - W2 = 0

7 0
3 years ago
5/6w+21=-1/3(2w-9).
oksian1 [2.3K]
I believe this question logically tells us to find the value of w. The two equations are already equated. Since there is 1 unknown and 1 equation, the system is solvable. The solution is as follows:

5/(6w+21) = -1/3(2w - 9)
5/(6w+21) = -1/(6w - 27)
Cross multiplying the terms:
5(6w - 27) = -1(6w +21)
30w - 135 = -6w - 21
30w + 6w = -21 + 135 = 114
36w = 114
w = 114/36
w = 19/6 or 3.167
7 0
4 years ago
Help on number six seven eight nine 10 11 12 13 14 15
shepuryov [24]
Easiest ways to solve them are to take the denominator and numerator and and divide the one you are asked to use to answer and divide and see if it works on both. 
  Example: first     105 / 15 = 7 )  Then: 105 / 7 = 15
                             119              )             119 / 7 = 17

Hope I helped. :D

8 0
3 years ago
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If 5/8 yards of fabric costs 3.75 dollars what does one yard cost
Sladkaya [172]
3.75 / 5 =0.75
0.75 x 8 = 6
So one yard is 6
Sorry, I’m not American so I don’t know about dollars but this should be correct x
4 0
3 years ago
How many solutions does the equation y + 12 = y + 10 + 2 have?
coldgirl [10]

Infinitely many, because if you simplified the right side, it would equal the left side.

6 0
4 years ago
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