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kotykmax [81]
3 years ago
9

What is the simplified form of the quantity of x plus 5, all over the quantity of 9 − the quantity of x plus 4, all over the qua

ntity of x plus 6?
the quantity of x squared plus 20x plus 66, all over 9 times the quantity of x plus 6
the quantity of x squared plus 2x minus 6, all over 9 times the quantity of x plus 6
the quantity of x plus 1, all over the quantity of 3 minus x
the quantity of 1, all over the quantity of 3 minus x
Mathematics
1 answer:
valina [46]3 years ago
6 0

Answer:

The simplified form is:

\frac{x^2+2x-6}{9(x+6)}

Step-by-step explanation:

We want to simplify

\frac{x+5}{9}-\frac{x+4}{x+6}


The least common denominator is


9(x+6)


We collect LCD to obtain,

\frac{(x+5)(x+6)-9(x+4)}{9(x+6)}


Next, we expand brackets to obtain,

\frac{x^2+6x+5x+30-9x-36}{9(x+6)}


We group like terms to get,

\frac{x^2+6x+5x-9x+30-36}{9(x+6)}


This simplifies to,

\frac{x^2+2x-6}{9(x+6)}


The correct answer is B.



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Naya [18.7K]
To find the inverse, switch the x and y, and then solve for y (f(x) is the same as y)

So we get:
x=1.50y-30 (add 30 to both sides)
x+30=1.50y (divide both sides by 1.5)
x/1.5+30/1.5=y
y=x/1.5+20

Hope this helps
7 0
3 years ago
Evaluate the indefinite integral: 1/( t^2 − 6t + 45) dt
Blababa [14]
Consider this option (see the attachment).
Note, that the formula (a+b)²=a²+2ab+b² is used.

5 0
4 years ago
Table:
Fynjy0 [20]

Answer:

2) Yes, each x-coordinate is only used once.

3) {1,2,3,4}

4) {25,45,60,70}

5) (3,60)

6) No because (4,7) and (4,25) share the same x-coordinate.

Step-by-step explanation:

A relation is a function if there is no more than one y-value assigned to an x.

Any x used can only be used once in an order pair.

You that here.

(1,25)

(2,45)

(3,60)

(4,70)

So basically because all of the x-coordinates are different, this is a function.

The domain is the x-coordinate of each pair (the first of each pair):

{1,2,3,4}.

The range is the y-coordinate of each pair (the second number of each pair):

{25,45,60,70}.

One ordered pair that I see in the table is (3,60). There are 3 others you can choose and I named them above.

{(4,10),(3,15),(1,5),(2,25),(4,25)} is not a function because there are more than one pairs with the same x-coordinate,4.  

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4 years ago
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Answer:

a

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A

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
One number is 32 less.than another. If the sum of the two numbers is 94 , find the two numbers.
Ratling [72]

Answer:

let the number be x, so that the two numbers are x and x - 32 The first number is x = 62.

The second number is x - 32 = 62 - 32 = 30.

Step-by-step explanation:

x + x - 32 = 92

or, 2x = 92 + 32

or, 2x = 124

or, x = 124/2 = 62

6 0
4 years ago
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