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salantis [7]
3 years ago
9

Simplify x^2 -x-6/4x^3 * 2x^2 +2x/x^2+5x+6 And PLS show work.

Mathematics
1 answer:
Sedbober [7]3 years ago
3 0

To solve this problem you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

( \frac{x^{2}-x-6}{4x^{3}}) (\frac{x^{2}+2x}{x^{2}+5x+6} )

2. First, you must factor the polynomials in the numerator and in the denominator and then simplify the expression:

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

The answer is: \frac{(x-3)(x+1)}{2x^{2}(x+3)(x+2)}

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Suppose Y varies directly with X and Y equals 10 when X equals -3 what direct variation equation relates XNY what is the value o
xeze [42]

Answer:

Expression: Y = -10/3 X

Y = 10/3

Step-by-step explanation:

If Y varies directly as X, then;

Y∝X

Y = kX

k is the constant of variation

If Y = 10 and X = -3

10 = -3k

k = -10/3

Substitute k = -10/3 into the expression Y = kX

Y = -10/3 X

This gives the required expression

To get the value of Y when X = -1

Recall that Y = kX

Y = -10/3 (-1)

Y = 10/3

Hence the value of Y is 10/3

8 0
3 years ago
Victoria and Georgetown are 67.2 miles from each other. How far apart would the cities be on a map that has a scale of 0.9 inche
Artemon [7]

Answer: 5.76 miles

Step-by-step explanation:

Let the distance between Victoria and Georgetown on the map be represented by x.

The information given in the question can then be formed into an expression which will be:

0.9/x = 10.5/67.2

Cross multiply

(10.5 × x) = 67.2 × 0.9

10.5x = 60.48

x = 60.48/10.5

x = 5.76

The answer is 5.76 miles

7 0
3 years ago
A florist normally takes 20 hours to assemble 10 flower arrangements how long do it takes to do one flower arrangement
Mariana [72]
20/10= 2

All you need to do is divide the number of hours it takes by the number of flower arrangments. So, it takes the florist 2 hours to assemble one flower arrangement.

I hope this helps!
~kaikers
5 0
3 years ago
The number of orders received daily by an online vendor of used CDs is normally distributed with mean 270 and standard deviation
frez [133]

Answer:

Step-by-step explanation:

Given that the number of orders received daily by an online vendor of used CDs (say X) is normally distributed with mean 270 and standard deviation 16.

X is N(270, 16)

To find percentage of days will the company have to hire extra help or pay​ overtime, we can find probability using std normal table

X>302 means

Z>\frac{302-270}{16} =2

P(Z>2) = 0.25

Thus 25% of days will the company have to hire extra help or pay​ overtime

4 0
3 years ago
Plz help its really urgent!!
avanturin [10]

Answer:

3)0.4 and 1.8

Step-by-step explanation:

:):):):):):):);):):)

4 0
3 years ago
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