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Debora [2.8K]
2 years ago
7

The graph of f(x) =In x the y axis is the _____ asymptote.

Mathematics
2 answers:
defon2 years ago
6 0

Answer:

a) Vertical.

Step-by-step explanation:

There is no value of ln x <= 0.

The asymptote ix x = 0 (that is the y-axis).

Vilka [71]2 years ago
6 0
Vertical because of a axis
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{x^2+6x-27/x^2-9x+18<br> how to solve step by step
Alika [10]

Answer:

Step-by-step explanation:

Step by Step Solution:

More Icon

STEP

1

:

5

Simplify ———————

x2 - 81

Trying to factor as a Difference of Squares:

1.1 Factoring: x2 - 81

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 81 is the square of 9

Check : x2 is the square of x1

Factorization is : (x + 9) • (x - 9)

Equation at the end of step

1

:

(((x2)-18x)+81) 5

———————————————•———————————

(((x2)-6x)-27) (x+9)•(x-9)

STEP

2

:

x2 - 18x + 81

Simplify —————————————

x2 - 6x - 27

Trying to factor by splitting the middle term

2.1 Factoring x2 - 18x + 81

The first term is, x2 its coefficient is 1 .

The middle term is, -18x its coefficient is -18 .

The last term, "the constant", is +81

Step-1 : Multiply the coefficient of the first term by the constant 1 • 81 = 81

Step-2 : Find two factors of 81 whose sum equals the coefficient of the middle term, which is -18 .

-81 + -1 = -82

-27 + -3 = -30

-9 + -9 = -18 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -9

x2 - 9x - 9x - 81

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-9)

Add up the last 2 terms, pulling out common factors :

9 • (x-9)

Step-5 : Add up the four terms of step 4 :

(x-9) • (x-9)

Which is the desired factorization

Trying to factor by splitting the middle term

2.2 Factoring x2-6x-27

The first term is, x2 its coefficient is 1 .

The middle term is, -6x its coefficient is -6 .

The last term, "the constant", is -27

Step-1 : Multiply the coefficient of the first term by the constant 1 • -27 = -27

Step-2 : Find two factors of -27 whose sum equals the coefficient of the middle term, which is -6 .

-27 + 1 = -26

-9 + 3 = -6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 3

x2 - 9x + 3x - 27

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-9)

Add up the last 2 terms, pulling out common factors :

3 • (x-9)

Step-5 : Add up the four terms of step 4 :

(x+3) • (x-9)

Which is the desired factorization

Canceling Out :

2.3 Cancel out (x-9) which appears on both sides of the fraction line.

Equation at the end of step

2

:

(x - 9) 5

——————— • —————————————————

x + 3 (x + 9) • (x - 9)

STEP

3

:

Canceling Out

3.1 Cancel out (x-9) which appears on both sides of the fraction line.

Final result :

5

—————————————————

(x + 3) • (x + 9)

5 0
2 years ago
Trever was 36 years old five years ago. How old is he now?
Komok [63]
He’s 41 now
just add 5 to his age
7 0
3 years ago
Read 2 more answers
If you bought 4 things from Walmart (Things listed below) What would be the tax?
allochka39001 [22]
10.99 +11.67+ 3.64 + 2.83 = 29.13 SO THE TAX EQUALS 87 CENTS 
7 0
3 years ago
5÷x-4 - 2÷x+2 = 4÷x-4
Alborosie
I'd suggest you begin by subtracting 4 / (x-4) from both sides.  Doing that would leave you with    1 / (x-4)   -     2 / (x+2) =  0.

LCD is (x-4)(x+2).  Mult. all three terms by (x-4)(x+2).  The resulting equation is 

x+2 - 2(x-4) = 0.     Then x+2 = 2x - 8  =>  x = 10

Subst. 10 for x in the original equation to verify that 10 is indeed a solution.


8 0
3 years ago
Can someone help pls
Travka [436]

Answer: V = 706.5 cubic millimeters

Step-by-step explanation:

V = (3.14)(r^2)(h)

V = (3.14)(5^2)(9)

V = (3.14)(25)(9)

V = 706.5

5 0
3 years ago
Read 2 more answers
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