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ser-zykov [4K]
3 years ago
8

Lola's Car's Gas Tank is 7/8 Full Would She Have More If She Had 4/5 Of a Tank. Why?

Mathematics
1 answer:
krok68 [10]3 years ago
6 0
No she would not have a fuller tank if she had 4/5 of one instead of 7/8.
In this situation you need to convert the fractions so that they have common denominators. 
In order to achieve this I multiplied both the numerator and the denominator of 7/8 by 5.
I also multiplied both the numerator and denominator of 4/5 by 8.
7/8*5=35/40.
4/5*8=32/40.
Now you can easily tell that 7/8  is larger than 4/5.

Hope this helps! (:
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The factors of x cube -10x square -53x-42
Verdich [7]

Answer:

<em><u></u></em>x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)<em><u></u></em>

Step-by-step explanation:

 x^3 - 10x^2 -53x - 42

The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42

<u>Using trial and error method we will find the first root of the polynomial.</u>

1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42

     1 - 10 - 53 - 42  ≠ 0

   Therefore 1 is not a root

-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42

      - 1 - 10 + 53 - 42

       53 - 53 = 0

Therefore - 1 is a root of the polynomial.

Therefore ( x + 1) is a factor.

<u>Now by long division or by using synthetic division we can find other factors.</u>

<u>Synthetic Division :</u>

                             -1 | 1      -10       -53      - 42

                                | 0     - 1          11          42

                                |______________________

                                  1      - 11       - 42        0

Therefore ,

x^3 - 10 x^2 -53x -42 = ( x + 1)(x^2 - 11x +42)  ------ ( 1 )

<u>Next further factorize x² - 11x - 42</u>

   x² - 11x - 42

= x² -  14x + 3x - 42

=x(x - 14) + 3 (x - 14)

=(x + 3 )(x - 14)

Therefore ,

x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)

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soldier1979 [14.2K]

Answer:

it can be a pain when nobody helps... ur top right is correct

Step-by-step explanation:

heres a screenshot ..

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Answer:

11

Step-by-step explanation:

44 / 11 = 4

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