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2 years ago

6

What is 11% of 15? 1.65 1.56 2.5

1 answer:

Vesna [10]2 years ago

6 0

1.5 +.15 = 1.65. 10% x 15 + 1% x 15

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Evaluate the function f(x) at the given numbers (correct to six decimal places).

Marysya12 [62]

Answer:

$f(2.1) = 0.512195$

$f(2.05) = 0.506173$

$f(2.01)=0.501247$

$f(2.001) = 0.500125$

$f(2.0001) = 0.500012$

$f(1.9) = 0.487179$

$f(1.95) = 0.493671$

$f(1.99) = 0.498747$

$f(1.999) = 0.499875$

$f(1.9999) = 0.499987$

Step-by-step explanation:

Given

$f(x) = \frac{x^2 - 2x}{x^2 - 4}$

Solve for f(x) for all given values of x

First, we need to simplify f(x)

$f(x) = \frac{x^2 - 2x}{x^2 - 4}$

$f(x) = \frac{x(x - 2)}{x^2 - 2^2}$

$f(x) = \frac{x(x - 2)}{(x- 2)(x + 2)}$

$f(x) = \frac{x}{x + 2}$

When $x = 2.1$

$f(x) = \frac{x}{x + 2}$

$f(2.1) = \frac{2.1}{2.1 + 2}$

$f(2.1) = \frac{2.1}{4.1}$

$f(2.1) = 0.512195$

When $x = 2.05$

$f(x) = \frac{x}{x + 2}$

$f(2.05) = \frac{2.05}{2 + 2.05}$

$f(2.05) = \frac{2.05}{4.05}$

$f(2.05) = 0.506173$

When $x = 2.01$

$f(x) = \frac{x}{x + 2}$

$f(2.01)=\frac{2.01}{2.01 +2}$

$f(2.01)=\frac{2.01}{4.01}$

$f(2.01)=0.501247$

When $x = 2.001$

$f(x) = \frac{x}{x + 2}$

$f(2.001) = \frac{2.001}{2.001 +2}$

$f(2.001) = \frac{2.001}{4.001}$

$f(2.001) = 0.500125$

When $x = 2.0001$

$f(x) = \frac{x}{x + 2}$

$f(2.0001) = \frac{2.0001}{2.0001 + 2}$

$f(2.0001) = \frac{2.0001}{4.0001}$

$f(2.0001) = 0.500012$

When $x = 1.9$

$f(x) = \frac{x}{x + 2}$

$f(1.9) = \frac{1.9}{1.9 + 2}$

$f(1.9) = \frac{1.9}{3.9}$

$f(1.9) = 0.487179$

When $x = 1.95$

$f(x) = \frac{x}{x + 2}$

$f(1.95) = \frac{1.95}{1.95 + 2}$

$f(1.95) = \frac{1.95}{3.95}$

$f(1.95) = 0.493671$

When $x = 1.99$

$f(x) = \frac{x}{x + 2}$

$f(1.99) = \frac{1.99}{1.99 + 2}$

$f(1.99) = \frac{1.99}{3.99}$

$f(1.99) = 0.498747$

$f(x) = \frac{x}{x + 2}$

When $x = 1.999$

$f(x) = \frac{x}{x + 2}$

$f(1.999) = \frac{1.999}{1.999 + 2}$

$f(1.999) = \frac{1.999}{3.999}$

$f(1.999) = 0.499875$

When x = 1.9999

$f(x) = \frac{x}{x + 2}$

$f(1.9999) = \frac{1.9999}{1.9999 + 2}$

$f(1.9999) = \frac{1.9999}{3.9999}$

$f(1.9999) = 0.499987$

<em>Note that all values of f(x) are approximated to 6 decimal places</em>

7 0

3 years ago

Help me solve this????

Grace [21]

Price of movie ticket in Japan is x=7.362$

Price of movie ticket in Switzerland is y=13.652$

Step-by-step explanation:

Let, Price of movie ticket in Japan is x

Price of movie ticket in Switzerland is y

Statement 1 : Total of 79.39$ of three movie ticket in Japan and two movie ticket in Switzerland

We write, 3x+2y=79.39 ( Equation 1 )

Statement 1 : Total of 75.68$ of two movie ticket in Japan and three movie ticket in Switzerland

We write, 2x+3y=75.68 ( Equation 2 )

Solving by method of elimination

Multiplying equation 1 by 2, we get

6x+4y=158.78

Multiplying equation 2 by 3, we get

6x+9y=227.04

Subtracting both the linear equation,

6x+4y=158.78

- 6x+9y=227.04

_______________

0x-5y=(158.78-227.04)

-5y=(-68.26)

5y=68.26

y=13.652$

Replacing value of y in any equation

3x+2y=79.39

3x+2(13.652 )=79.39

x=17.362$

Thus,

Price of movie ticket in Japan is x=7.362$

Price of movie ticket in Switzerland is y=13.652$

3 0

3 years ago

Sally ha estado midiendo una flor para un proyecto científico. La flor ha crecido \dfrac{1}{2} 2 1 start fraction, 1, divided

Anit [1.1K]

1 is the right answer

4 0

3 years ago

The length of a rectangle is six times its width. If the perimeter of the rectangle is 126cm , find its area.

lorasvet [3.4K]

Answer:

The area = 486 cm^2

The length is 54 cm and the width is 9 cm

54 times 9 = 486

8 0

3 years ago

I need to find the missing variables on the triangles but I don't know how

elixir [45]

You would add 12+15 then subtract it from 32 to get your missing varible

4 0

4 years ago