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Arada [10]
2 years ago
13

What is the factorization or x^3+8

Mathematics
1 answer:
prisoha [69]2 years ago
6 0

Factor x^3+8

x^3+8

=(x+2)(x^2−2x+4)

Answer:

(x+2)(x^2−2x+4)

Hope that helps!! :) Brainliest??

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Find the next term in the sequence 15 , 34 , 55 , 78 , 103
omeli [17]

The next term in the sequence will be increased by 27. The difference between 15 and 34 is 19 The difference between 34 and 55 is 21 The difference between 55 and 78 is 23 The difference between 78 and 103 is 25 Following this pattern, the next number will be 130

6 0
2 years ago
The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is
marysya [2.9K]

Answer:

(a) 0.14%

(b) 2.28%

(c) 48%

(d) 68%

(e) 34%

(f) 50%

Step-by-step explanation:

Let <em>X</em> be a random variable representing the prices paid for a particular model of HD television.

It is provided that <em>X</em> follows a normal distribution with mean, <em>μ</em> = $1600 and standard deviation, <em>σ</em> = $100.

(a)

Compute the probability of buyers who paid more than $1900 as follows:

P(X>1900)=P(\frac{X-\mu}{\sigma}>\frac{1900-1600}{100})

                   =P(Z>3)\\=1-P(Z

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid more than $1900 is 0.14%.

(b)

Compute the probability of buyers who paid less than $1400 as follows:

P(X

                   =P(Z

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid less than $1400 is 2.28%.

(c)

Compute the probability of buyers who paid between $1400 and $1600 as follows:

P(1400

                              =P(-2

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1400 and $1600 is 48%.

(d)

Compute the probability of buyers who paid between $1500 and $1700 as follows:

P(1500

                              =P(-1

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1500 and $1700 is 68%.

(e)

Compute the probability of buyers who paid between $1600 and $1700 as follows:

P(1600

                              =P(0

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1700 is 34%.

(f)

Compute the probability of buyers who paid between $1600 and $1900 as follows:

P(1600

                              =P(0

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1900 is 50%.

8 0
2 years ago
The ratio of the number of adults to the number of children in a library is 12:5. If there are 45 children in the library, how m
zysi [14]
The answer would be 108. 108:45 can be simplified to 12:5.
4 0
3 years ago
Read 2 more answers
The distance between port M and port N is 162m. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port
matrenka [14]

Answer:

After 900 minutes

Step-by-step explanation:

when we convert the velocities of the ships into miles/ min we get

45mph=45m/60min=0.75m/min

36mph=36m/60min=0.6m/min

The equations determining the distances  of the ships from the port M (set at x=0) are

D_1=0.75t (for 45mph ship)

D_2=162+0.6(t-45) (for 36mph ship)

The solution to these equation lie at t= 900 minutes; therefore the two ships will meet 900 minutes after the departure of the first ship.

8 0
2 years ago
Read 2 more answers
8.EE.8
IceJOKER [234]

For the first system, we have

1 - 3x + 3y = -8

or

-3x + 3y = -9

The second equation, however, tells us

-3x + 3y = 13

but -9 ≠ 13, so this system has no solution.

For the second system, notice that multiplying both sides of

4x - 8y = 6

by 1/2 gives

2x - 4y = 3

which is identical to the other equation in the system. Then all point (x, y) that lie on this line are solutions to the system, meaning there are infinitely many solutions.

4 0
3 years ago
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