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3 years ago

Divide these polynomials.

1 answer:

4 0

We can do this two ways: polynomial division or synthetic division.
Polynomial division involves factoring the equations first. Synthetic division is basically long division.

I'm opting for polynomial division cause it's shorter.

First, we factor ((x^4)-(x^3)-(7x^2)+4x-3).
((x^4)-(x^3)-(7x^2)+4x-3)=(x-3)((x^3)+(2x^2)-x+1)

Then divide:
((x-3)((x^3)+(2x^2)-x+1)) ÷ (x-3) = (x^3)+(2x^2)-x+1

So your answer is B

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You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. A sold-out p

Alchen [17]

Answer: 48 sold-out performances must be played in order for you to break even.

Step-by-step explanation:

Let x represent the number of sold-out performances must be played in order for you to break even.

You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be

2500x + 30000

A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be

3125x

To break even, cost = revenue

Therefore,

2500x + 30000 = 3125x

3125x - 2500x = 30000

625x = 30000

x = 30000/625

x = 48

8 0

3 years ago

An airline company is considering a new policy of booking as many as 191 persons on an airplane that can seat only 180. (Past st

notka56 [123]

Answer:

1.3559644*10^-^5

Step-by-step explanation:

From the information given we extract the following data

Total Number of Trials (N) = 191

Required Value (x) = 181 (notice it is not 180 since at that value we have enough passengers)

Odds of success (p) = 0.85

Using the binomial formula for calculating probability, i.e.

$P(x; N, p) = nCx * p^x *(1-p)^{N-x}$

Inputting the values

$P(181; 191, 0.85) = 191C181 *0.85^{181} *(1-0.85)^{191-181} \\ P(181; 191, 0.85) = 1.3559644*10^-^5$

3 0

3 years ago

Imagine you're on a game show, and you're given the choice of three doors: Behind one door is a million dollars, and behind the

Cerrena [4.2K]

No, i would stay with my answer #1 and trust myself.

6 0

3 years ago

Graph 3(8-4x)<6(x-5)

Zinaida [17]

First simplify this inequality:

$3(8-4x)$

Now you can graph this inequality. Draw the vertical dashed line x=3 and shade the region to the right from this line. This is exactly the region that represents the solution of inequality (see attached diagram for details).

4 0

3 years ago

Solve graphically the inequality \[ x ≥ 2 \]

Xelga [282]

1) Graph the corresponding equation $ x = 2 $; this will split the plane into two regions. One of the region represents the solution set.

2) Select a point situated in any of the two regions obtained and test the inequality. If the point selected is a solution, then all the region is the solution set. If the selected point is not a solution, then the other (second) region represents the solution set.

3) Test: In this example, let us for example select the point with coordinates (3 , 2) which is in the region to the right of the line x = 2. If you substitute x in the inequality $ x ≥ 2 $ by 3 it becomes $ 3 ≥ 2 $ which is a true statement and therefore (3 , 2) is a solution. Hence, we can conclude that the region to the right of the vertical line x = 2 is a solution set including the line itself which is shown as a solid line because of the inequality symbol $ ≥ $ contains the $ = $ symbol. The solution set is represented by the blue hash region in the graph below including the line x = 2.

6 0

3 years ago