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zalisa [80]
3 years ago
11

If F(x) = 9x, which of the following is the inverse of F(x)?

Mathematics
1 answer:
ratelena [41]3 years ago
8 0

Answer:

Should be x/9

Step-by-step explanation:

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Answer:

25x

Step-by-step explanation:

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Simplify the expression 2+3i/4+3i <br> Please help
rjkz [21]

Answer:

17+6i

-----------

25

Step-by-step explanation:

2+3i

---------

4+3i


We want to multiply by the complex conjugate of the denominator

4+3i has a complex conjugate of 4-3i

2+3i             4-3i

--------- * --------------

4+3i           4-3i


Lets multiply the numerator

(2+3i) ( 4-3i)

2*4 +4*3i -3i*2 - 3i*3i =

8 +12i -6i - 9i^2

Remember i^2 = -1

8 +6i -9(-1)

17 +6i


Lets multiply the denominator

(4+3i) ( 4-3i)

4*4 +4*3i -3i*4 - 3i*3i =

16 +12i -12i - 9i^2

Remember i^2 = -1

16 -9(-1)

25

Putting numerator over denominator

17+6i

-----------

25

7 0
3 years ago
Consider three consecutive odd integers. The ratio of the smallest number to one less than twice the smallest
uranmaximum [27]

Let <em>x</em> be the smallest of the three integers. Then the next two are <em>x</em> + 2 and <em>x</em> + 4.

• "The ratio of the smallest number to 1 less than twice the smallest number..."

This translates to

<em>x</em> / (2<em>x</em> - 1)

• "... the ratio of 3 more than the middle number to twice the largest number."

This translates to

((<em>x</em> + 2) + 3) / (2 (<em>x</em> + 4))

or, simplifying a bit,

(<em>x</em> + 5) / (2<em>x</em> + 8)

The ratioes are said to be equivalent, so

<em>x</em> / (2<em>x</em> - 1) = (<em>x</em> + 5) / (2<em>x</em> + 8)

Solve for <em>x</em> :

<em>x</em> (2<em>x</em> + 8) = (<em>x</em> + 5) (2<em>x</em> - 1)

2<em>x</em>² + 8<em>x</em> = 2<em>x</em>² + 9<em>x</em> - 5

8<em>x</em> = 9<em>x</em> - 5

-<em>x</em> = -5

<em>x</em> = 5

So the three integers are 5, 7, and 9.

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