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SashulF [63]
1 year ago
15

Find all factors of 2x^3-3x^2-2x

Mathematics
1 answer:
Nesterboy [21]1 year ago
7 0

ANSWER:

x, 2x + 1, x -2

STEP-BY-STEP EXPLANATION:

We have the following expression:

2x^3-3x^2-2x

We simplify as follows to determine the factors:

\begin{gathered} \text{ We factor the common term:} \\  \\ x\left(2x^2-3x-2\right) \\  \\ \text{ Now we factor the following term} \\  \\ 2x^2-3x-2 \\  \\ -3x=x-4x \\  \\ 2x^2+x-4x-2 \\  \\ \left(2x^2+x\right)+\left(-4x-2\right) \\  \\ x\left(2x+1\right)-2\left(2x+1\right) \\  \\ \left(2x+1\right)\left(x-2\right) \\  \\ \text{ Therefore:} \\  \\ 2x^3-3x^2-2x=x\left(2x+1\right)\left(x-2\right) \end{gathered}

The factors would be x, 2x + 1, x -2

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3 years ago
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Answer choice <br> D) A worker with 15 years of service gets 5 weeks of vacation and each year.
otez555 [7]

Answer: it seems to be D, but the equation makes practically no sense!

The value of the factor changes for the different amounts of service years and vacation weeks.

Step-by-step explanation: The equation means that the employee is trying to figure out the value of the "v-factor" for how vacation time is earned.

If you substitute the number of service years into the left side of the "formula" and vacation weeks on the right side, then solve for "v", v(15)=5 you get v= 1/3 or 0.33

If you substitute other numbers, like v(2)=2, so v= 1 then v(30) = 8, v = 4/15 or 0.2667. You see the factor's value decreases. The company is much more generous to to employees with one or two years of service than with the older ones.

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Which is the value of x in the equation?<br> 4(x-3) = 40
mario62 [17]

Answer:14

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per pe
Sonja [21]

Answer:

Z= 75*6 -250=200

So then the correct answer is B. $200.

Step-by-step explanation:

Notation

Let X be the average contribution size before John makes his contribution.

Let Y be the total contribution size before John makes his contribution.

Let Z be John's contribution.

We know that for this case $ 75 represent the original average amount before the contribution with 50% increase so we can set up the following equation in order to find the original average amount

1.5 X = 75

And solvong for X we got:

X = \frac{75}{1.5}= 50

Now we can find the total contribution before the donation with the following proportion:

\frac{50}{1}= \frac{Y}{5}

Y = 250

And then with the formula of average taking in count the 6 values we can find the size of donation Z like this:

\frac{Y+Z}{6}= 75

\frac{250+Z}{6}= 75

Z= 75*6 -250=200

So then the correct answer is B. $200.

5 0
3 years ago
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