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Aleks04 [339]
3 years ago
5

What is the quotient (x3 8) ÷ (x 2)?

Mathematics
2 answers:
Tanya [424]3 years ago
8 0
If you would like to solve (x^3 + 8) / (x + 2), you can do this using the following steps:

x^3 + 8 = (x + 2) * (x^2 - 2x + 4)

(x^3 + 8) / (x + 2) = (x + 2) * (x^2 - 2x + 4) / (x + 2) = <span>x^2 - 2x + 4
</span>
The correct result would be <span>x^2 - 2x + 4.</span>
Musya8 [376]3 years ago
7 0

As the Question is not clear

But there are two possibilities

1. \frac{x^3+8}{x+2}=\frac{(x+2)(x^2-2 x+4)}{x+2}=x^2-2 x+4→→Cancelling x+2 from numerator and denominator

→→ Using the formula (a³ + b³) =(a+b)(a² - ab + b²)

Or if

\frac{x^3-8}{x-2}=\frac{(x-2)(x^2+2x+4)}{x-2}=x^2+ 2 x +4→→Cancelling x-2 from numerator and denominator

Using the formula (a³ - b³) =(a-b)(a² + ab + b²)

Statement (1) appears true.

So, correct option is  x²- 2 x + 4 or x² + 2 x + 4

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Dan has 4 over 5 cup of ice cream. How many 1 over 8 -cup servings are in 4 over 5 cup of ice cream?
Alik [6]

Answer:

32/5

Step-by-step explanation:

To find this, we'll have to <em>divide</em> 4/5 <em>by</em> 1/8.

This is 4/5 / 1/8, which is 4/5 * 8.

That equals 32/5 :)

4 0
3 years ago
What graph matches the related tables ? And please explain why !!!
alina1380 [7]

Graph 1 is related to table C because the first 3 values are increasing, and the 4th value decreases. Or because at 1PM, 3PM, and 5PM, the temperature was increasing, but at 7PM the temperature decreased. Graph 1 shows the first 3 points increasing, and then decreasing at the 4th point.


Graph 2 is related to table A because as the time increases/goes on, the temperature decreases exponentially/continues to decrease at a higher rate than before. From 1-3PM the temperate decreases by 2°F, from 3-5PM it decreased by 8°F, from 5-7PM the temperature decreased by 17°F.


Graph 3 is related to table B because as the time increases/goes on, the temperature decreases at a steady rate of 1°F every 2 hours.

7 0
3 years ago
Read 2 more answers
for the given license plate configuration, determine how many different plates are possinle if letters and digits (a) can ba rep
Inessa05 [86]

Answer:

a) 1,757,600 different plates possible.

b) 1,404,000 different plates possible.

Step-by-step explanation:

The permutations formula is important to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

(a) can be repeated:

There are 3 letters, each one with 26 possible outcomes.

2 digits, each with 10 possible outcomes

So

T = 26*26*26*10*10 = 1757600

1,757,600 different plates possible.

(b) cannot be repeated:

Here the permutations formula is used.

Three letters, from a set of 26.

Two digits, from a set of 10. So

T = P_{(26,3)}*P_{(10,2)} = \frac{26!}{(26-3)!}*\frac{10!}{(10-2)!} = 1404000

1,404,000 different plates possible.

4 0
3 years ago
This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10. The average response was tha
Pie

Answer:

The percentage that of people who gave the movie a rating between 6.8 and 8.8

<em>P(6.8≤X≤8.8)  = 83.9≅ 84 percentage</em>

Step-by-step explanation:

<u> Step(i):-</u>

Mean of the Population = 8.3 points

Standard deviation of the Population = 0.5 points

Let 'X' be the random variable in normal distribution

<em>Let X = 6.8</em>

Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3

Let X = 8.8

Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1

The probability that of people who gave the movie a rating between 6.8 and 8.8

<em>P(6.8≤X≤8.8) = P(-3≤Z≤1)</em>

                     = P(Z≤1)- P(Z≤-3)

                    =  0.5 + A(1) - ( 0.5 -A(-3))

                   = A(1) + A(3)       (∵A(-3)=A(3)

                  =  0.3413 +0.4986    (∵ From Normal table)

                 = 0.8399

<u><em>Conclusion:-</em></u>

The percentage that of people who gave the movie a rating between 6.8 and 8.8

<em>P(6.8≤X≤8.8)  = 83.9≅ 84 percentage</em>

4 0
3 years ago
Adrian wants to add ceiling beams inside his A-frame house. The diagram below shows how one set of beams will be built.
lora16 [44]

The length of the bottom beam =9.16 feet

<h3>What is Pythagoras theorem?</h3>

the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given : Total length of arm = 3.4+3.4=6.8 ft

Applying Pythagoras in  triangle on right side we have,

H²=P²+ B²

6.8²= P² + 4.8²

46.24= P² +23.04

P²= 23.2

P= 4.81 feet

Similarly, on the triangle on left side.

Again we have the base as 4.81 feet.

Now,  the length of the bottom beam= 4.81*2

                                                             =9.16 feet

Learn more about Pythagoras theorem here:

brainly.com/question/343682

#SPJ1

6 0
2 years ago
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