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Veseljchak [2.6K]
2 years ago
11

4th time posting this...........

Mathematics
1 answer:
castortr0y [4]2 years ago
8 0

Answer:

D is the correct representation.

\frac{\frac{4x^2 + 2x}{x^{2}+x-2} }{ \frac{8x^2 +4x}{3x^2 +10x+8} } =  {\frac{(3x+4)}{2(x-1)}

Step-by-step explanation:

Here, the given equation is:

\frac{\frac{4x^2 + 2x}{x^{2}+x-2} }{ \frac{8x^2 +4x}{3x^2 +10x+8} }

here, numerator  = {\frac{4x^2 + 2x}{x^{2}+x-2} }

and denominator = \frac{8x^2 +4x}{3x^2 +10x+8}

Solving numerator and denominator separately, we get

NUMERATOR:

{\frac{4x^2 + 2x}{x^{2}+x-2} } \implies\frac{2x(2x +1)}{x^{2} + 2x-x-2 } \\\implies\frac{2x(2x +1)}{(x+2)(x-1) }

Denominator:

\frac{8x^2 +4x}{3x^2 +10x+8}  = \frac{4x(2x+1)}{3x^2 +6x+ 4x+8}\\ \implies \frac{4x(2x+1)}{3x(x+2)+ 4(x+2)}  =  \frac{4x(2x+1)}{(3x+4)(x+2)}

Hence, the transformed  fraction is:

\frac{\frac{2x(2x +1)}{(x+2)(x-1) }}{\frac{4x(2x+1)}{(3x+4)(x+2)}}  = {\frac{2x(2x +1)}{(x+2)(x-1) }} \times{\frac{(3x+4)(x+2)}{4x(2x+1)}

or, implied fraction is  {\frac{(3x+4)}{2(x-1)}

Hence, D is the correct representation.

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Name the property of real numbers illustrated by the equation 2*(√8*7)=(2*√8)*7
umka21 [38]
Associative property of mulipication, the ability to move parenthasees with mltipication or additon
8 0
2 years ago
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Given the function f(x)=2x^3-7x^2-5x+1 find f(-2)
Ksju [112]

Answer:

-33

Step-by-step explanation:

2(-2)^3 -7(-2)^2 -5(-2) +1

-16 -28 +11

= -33

5 0
2 years ago
The planning committee at school has 10 members. Exactly four of these members are teachers. A four-person subcommittee with at
Kipish [7]

Answer:

865

Step-by-step explanation: The set of possibilities are:

Subcommittee  is of 4 people according to:

4  teachers    0 other member       total possibilities    1

3  teachers     1     teachers  C₄,₃  = 4   and  other member  6    6*4   =  24

2 teachers     2      C₄,₂  =  4!/2!  = 12    2 (om)    and  C₆,₂   =  6!/4!  = 30

30*12  = 360

1  teacher        3     (om)               4         and  C₆,₃ = 6!/3!   =  120

120*4  = 480

Total ways of committee    1  + 24  + 360 +  480  = 865

4 0
2 years ago
Any thoughts im really confused on it
wariber [46]
In step two he flipped the fraction back to how it was originally but he was supposed to leave it improper in order to multiply
4 0
2 years ago
Please no wrong answers <br>what to do next??​
Finger [1]

Step-by-step explanation:

I am not sure what you want to calculate as ultimate goal.

but your have an error already in your third line in the picture.

(3-6i)(2-4i) = 3×(2-4i) - 6i(2-4i)

you had there a "+" instead of a "-".

and then you made subsequent mistakes in every line, some of them are funnily bringing you more back to the real result (e.g. -12i + 12i would be 0 and not -24i, but if the third line would have been correct, then yes, -24i is actually needed) - but not completely.

= 3×2 - 3×4i - 6i×2 + 6i×4i =

= 6 - 12i - 12i + 24×-1 = 6 - 24i - 24 = -24i - 18

then in the last 3 lines you kind of lose it completely. I am absolutely not sure, what you are calculating, and where the "+" cube from instead of "×" (multiplications) and such.

(3+6i)(2+4i) = 3×2 + 3×4i + 6i×2 + 6i×4i =

= 6 + 12i + 12i + 24×-1 =

= 6 + 24i - 24 = 24i - 18

is that what you wanted to show ?

7 0
2 years ago
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