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Vladimir [108]
2 years ago
13

Simplify the expression

Mathematics
1 answer:
Stolb23 [73]2 years ago
8 0

Answer:

A. {x}^{3}  - x -  \frac{6}{2x + 3}

Step-by-step explanation:

\frac{2 {x}^{4}  + 3 {x}^{3}  - 2 {x}^{2}  - 3x - 6}{2x + 3}  \\  \\  = \frac{(2 {x}^{4}  + 3 {x}^{3} ) - (2 {x}^{2}   + 3x) - 6}{2x + 3}  \\  \\  = \frac{ {x}^{3} (2 {x}  + 3  ) - x(2 {x}  + 3) - 6}{2x + 3}  \\  \\  =  \frac{ {x}^{3} (2x + 3)}{2x + 3}  -  \frac{x(2x + 3)}{2x + 3}  -  \frac{6}{2x + 3}  \\  \\   \purple { \bold{=  {x}^{3}  - x -  \frac{6}{2x + 3}  }}

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21.5% of 825 is<br> what number?
finlep [7]
I got 177.375. Hop this helps!!
6 0
2 years ago
Write a two column proof. If ZY=3XY, then ZX=4XY
Blababa [14]

Answer:

As you have written

Z Y  = 3 X Y,

It means X, Y, Z are collinear points i.e they lie in the same line or line segment.

Locating points X, Y,Z  on the line

Two possibilities are possible

1. First Z, then X and then Y on the line or line segment

→ Z X + Y X= Z Y

But Z Y = 3 X Y [ Given]

→  Z X + Y X = 3 X Y

→  Z X = 3 X Y -  Y X

→  Z X = 2 X Y ⇒ which is not the result.

2. 2nd Possibility

First Z, then Y and then X on the line or line segment

→ Z X  =  Z Y + Y X

→ Z X= 3 X Y + Y X  [Z Y=3 X Y→(given)]

→ Z X= 4 X Y , Which is the result.


5 0
3 years ago
Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.
mars1129 [50]

Answer: Option D is correct.

Step-by-step explanation:

Since we have given that

focus = (-5,5)

and a directrix y= -1

Since, equation of parabola in this case will be

(x-h)^2=4.a(y-k)

Now, here

y=k-a=-1\\\\\text { focus =(h,k+a)}\\\\\text{So,} k+a=5\\\\\text{ by solving these two equation , we get }\\\\a=3\text{ and } k=2

So equation will be

(x+5)^2=4\times 3(y-2)\\\\(x+5)^2=12(y-3)\\\\y=\frac{1}{12}(x+5)^2+2

So, option D is correct .

4 0
2 years ago
Read 2 more answers
Whats the a(y)? please help giving brainliest
Over [174]

It would mean A times Y.

4 0
2 years ago
ezekiel has $250 in his bank account he deposts $35 from his birthday and then buys clothes for school for $75
Semmy [17]

Answer:

$140

Step-by-step explanation:

i assume ur asking for how much is left over

250-35= 215

215-75= 140

$140 left

6 0
3 years ago
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