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2 years ago

What is the completely factored form of x3-64?

2 answers:

nataly862011 [7]2 years ago

7 0

a^3 - b^3 = (a - b) (a^2 + ab + b^2)
so
x^3 - 4^3 = (x - 4)(x^2 + 4x + 16)

hope it helps

Aleonysh [2.5K]2 years ago

3 0

Answer:

(x + 4)(x2 – 4x + 16)

Step-by-step explanation:

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Anastasy [175]

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Katarina [22]

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3 years ago

Please please answer What is 4328 divided by 4

Lerok [7]

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3 years ago

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A taxi driver had 43 fares to and from the airport last Monday. The price for a ride to the airport is $12, and the price for a

leva [86]

Answer:

(25,18) is the required solution.

Step-by-step explanation:

We are given the following in the question:

Let x be the number of trips to the airport and y represent the number of trips from the airport.

Total number of fares to and from the airport = 43

Thus, we can write the equation:

$x+y = 43$

Price for a ride to the airport = $12

Price for a ride from the airport = $10

Total amount collected by the driver = $480

Thus, we can write the equation:

$12x+10y=480$

Solving the two equations, we get,

$12x+12y-(12x+10y)=516-480\\\Rightarrow 2y =36\\\Rightarrow y = 18\\\Rightarrow x = 43-18=25$

Thus, the driver made 25 trips to the airport and 18 trips from the airport.

The solution can be represented as (25,18)

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3 years ago

Organize from least to greatest

dedylja [7]

Answer:

y=31x/15 < y=27x/13 < y=15x/7 < y=13x/6 < y=11x/5 < y=21x/9 (=7x/3) < y=19x/8

Step-by-step explanation:

since all equations base on a linear, simple expression of x, we can simply compare the fractions.

in general, the bigger the number at the bottom, the smaller the individual fraction. that is our first indicator.

we then notice that many fractions represent the value of 2 plus one fraction.

31/15 = 2 1/15

27/13 = 2 1/13

15/7 = 2 1/7

13/6 = 2 1/6

11/5 = 2 1/5

the only exceptions are 21/9 and 19/8

but 21/9 is actually 7/3 = 2 1/3

and fits therefore into the list above.

that leaves 19/8 = 2 3/8.

the list above can be sorted based on the single fraction at the end (remember, the bigger the number at the bottom, the smaller the value). so, from least to greatest :

2 1/15 (31/15)

2 1/13 (27/13)

2 1/7 (15/7)

2 1/6 (13/6)

2 1/5 (11/5)

2 1/3 (7/3 = 21/9)

where did now 2 3/8 fit in ?

well, 3/8 is almost 1/2 (so, relatively big), and we start our comparison with the biggest number in the list so far :

1/3 (from 2 1/3).

what is bigger - 1/3 or 3/8 ?

let's find the smallest number that can be divided by 3 and by 8. that would be 24. so now we bring both fractions to the same base of 24.

1/3 = 8/24

3/8 = 9/24

=> 3/8 > 1/3

and therefore, 19/8 is the largest value and at the end of the list.

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2 years ago