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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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I'll mark as brainliest if it lets me;-;<br>please answer B. &amp; C. with solution:)​
san4es73 [151]

Answer:

B. AC = 22, BC = 22, AB = 44

C. AC = 30, BC = 30, AB = 60

Step-by-step explanation:

B.

radius \: \overline {OR} \perp chord \: \overline {AB} at C. (given)

\therefore AC = BC (perpendicular dropped from the center of the circle to the chord bisects the chord)

\therefore 2x - 6 = x + 8

\therefore 2x - x= 6 + 8

\therefore x= 14

AC = 2x-6=2(14)-6=28-6= 22

BC= x + 8=14 + 8= 22

AB = AC + BC = 22 + 22 = 44

C.

radius \: \overline {OR} \perp chord \: \overline {AB} at C. (given)

\therefore BC = AC (perpendicular dropped from the center of the circle to the chord bisects the chord)

\therefore 7x-5=4x+10

\therefore 7x - 4x= 5 + 10

\therefore 3x= 15

\therefore x= \frac{15}{3}

\therefore x= 5

AC = 4x+10=4(5)+10=20+10= 30

BC= 7x - 5=7(5)-5=35-5= 30

AB = AC + BC = 30 + 30 = 60

7 0
2 years ago
HELP QUICK !’ ***What is the area of a circle with a diameter of 126 in?
Vladimir79 [104]

Answer:

49,850.64

Step-by-step explanation:

To find the area of a circle, you must use the formula pi r ^2 (pi r squared).

In this case, we are using 3.14 for pi, so we can add that into the formula.

3.1r^2

We also know the radius, so we can add that in too.

3.14 x 126 ^2

Now solve.

126^2 = 15,876

15,876 x 3.14 = 49,850.64

49,850.64 is the answer.

Hope this helped!

8 0
3 years ago
The table below represents the displacement of a horse from its barn as a function of time:
katovenus [111]

A. The y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the given table,

y - intercept = 8

Since at time zero the displacement is 8 ft, this means that the horse was already outside the barn initially.

B. The average rate of change of the function represents the slope of the linear equation (m). This can be calculated using the formula:

average rate of change = m = (y2 – y1) / (x2 – x1)

m = (158 – 58) / (3 – 1)

m = 50

<span>C.  Since we have determine the y-intercept and the slope, we can formulate the linear equation:</span>

y = m x + b

y = 50 x + 8

The domain is the value of x. When y = 508, x is equivalent to

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6 0
3 years ago
Which of these shapes have the same area?
zvonat [6]

Answer:

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Step-by-step explanation:

3 0
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