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Artemon [7]
4 years ago
9

Divide the following polynomial, then place the answer in the proper location on the grid.

Mathematics
2 answers:
podryga [215]4 years ago
4 0
So you are saying that you want to find out what it would be in simple from.
(a 2n-a n-6) (a n+8)
a²n²+2an-48
Lisa [10]4 years ago
4 0

Answer:

The two polynomials one of which is in Numerator and another one which is in Denominator

    \rightarrow \frac{a_{n}^2-a_{n}-6}{a_{n}+8}\\\\\text{Splitting the middle term}\\\\\rightarrow \frac{a_{n}^2-3a_{n}+2a_{n}-6}{a_{n}+8}\\\\\rightarrow \frac{a_{n}\times (a_{n}-3)+2\times(a_{n}-3)}{a_{n}+8}\\\\\rightarrow \frac{(a_{n}-3)(a_{n}+2)}{a_{n}+8}

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What is the equation of the line shown in this graph?
zalisa [80]

Answer:

it would be a zero

Step-by-step explanation:

-3 + 3 = 0

3 +2 = 5

8 0
3 years ago
What is the equation of the line that passes through the point (7,-3)
andrey2020 [161]

Answer:

Step-by-step explanation:

Im not sure dowload the app caculator online its free and it does ur homework

4 0
3 years ago
The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and Baton Rouge, is the largest
Ksenya-84 [330]

Answer:

a) 0.7287

b) 0.9663

c) 0.237

d) 3.65 tons of cargo per week or more that will require the port to extend its operating hours.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  4.5 million tons of cargo per week

Standard Deviation, σ = 0 .82 million tons

We are given that the distribution of number of tons of cargo handled per week is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P( port handles less than 5 million tons of cargo per week)

P(x < 5)

P( x < 5) = P( z < \displaystyle\frac{5 - 4.5}{0.82}) = P(z < 0.609)

Calculation the value from standard normal z table, we have,  

P(x < 5) =0.7287= 72.87\%

b) P( port handles 3 or more million tons of cargo per week)

P(x \geq 3) = P(z \geq \displaystyle\frac{3-4.5}{0.82}) = P(z \geq −1.82926)\\\\P( z \geq −1.82926) = 1 - P(z < -1.829)

Calculating the value from the standard normal table we have,

1 - 0.0337 = 0.9663 = 96.63\%\\P( x \geq 3) = 96.63\%

c)P( port handles between 3 million and 4 million tons of cargo per week)

P(3 \leq x \leq 4) = P(\displaystyle\frac{3 - 4.5}{0.82} \leq z \leq \displaystyle\frac{4-4.5}{0.82}) = P(-1.829 \leq z \leq -0.609)\\\\= P(z \leq -0.609) - P(z < -1.829)\\= 0.271-0.034 = 0.237= 23.7\%

P(3 \leq x \leq 4) = 23.7\%

d) P(X=x) = 0.85

We have to find the value of x such that the probability is 0.85.

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 4.5}{0.82})=0.85  

= 1 -P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.85  

=P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.15  

Calculation the value from standard normal z table, we have,  

P( z \leq -1.036) = 0.15

\displaystyle\frac{x - 4.5}{0.82} = -1.036\\x = 3.65

Thus, 3.65 tons of cargo per week or more that will require the port to extend its operating hours.

8 0
3 years ago
All the answers for a multiple choice test are A, B, C, or
My name is Ann [436]

Answer:

Option B

Step-by-step explanation:

For all the answers for a multiple choice test don't require to be arranged in an order.

Therefore, By the definition of combination, it's an example of combination where order doesn't matters.

Option B is the answer.

7 0
3 years ago
Read 2 more answers
Select the following lines that would be perpendicular to y = 3x + 1. (Select ALL correct)
max2010maxim [7]

Answer:

The line passing through points (1,4) and (4,3).

The line passing through points (1,-4) and (4,-5).

Step-by-step explanation:

Since the equation is y=3x+1

If it was perpendicular, it means the slope would be the negative reciprocal.

So the slope would be -1/3

9-8/6-3=1/3 (not negative) <u>No</u>

3-4/4-1=-1/3 <u>Yes</u>

-5+4/4-1=-1/3 <u>Yes</u>

6-3/5-4= 3/1 <u>No</u>

6 0
3 years ago
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