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3 years ago

5

Answer for #1? thanks

1 answer:

igomit [66]3 years ago

7 0

The answer is B) 1/(-2)^6

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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

What temperature is 10 degrees less then 6 degrees celsius

choli [55]

F=(9*6/5)+32

F=54/5+32

10.8+32

42.8

42.8-10=32.8

4 0

3 years ago

The inequality 9/5C + 32 <-40 can be used to find Celsius temperatures that are less than -40 Fahrenheit. What is the solutio

Blababa [14]

The solution of inequality is C < -40

<em><u>Solution:</u></em>

Given that the inequality that is used to find the celsius temperature that are less than -40 fahrenheit

To find: solution of inequality

<em><u>Given inequality is:</u></em>

$\frac{9}{5}C + 32 < -40$

So we have to solve the above inequality for C

$\rightarrow \frac{9}{5}C + 32 < -40$

Add -32 on both sides

$\rightarrow \frac{9}{5}C + 32 -32 < -40 - 32\\\\\rightarrow \frac{9}{5}C < -72$

Multiply both the sides by $\frac{5}{9}$

$\rightarrow\frac{9}{5}C \times \frac{5}{9} < -72 \times \frac{5}{9}\\\\\rightarrow C < -8 \times 5\\\\\rightarrow C < -40$

Thus the solution of inequality is C < -40

3 0

4 years ago

How do I use an area model to explain the product of 4.6 times 1.6<br><br> 20 points

kogti [31]

Answer:

All you have to do is break apart the decimals and divide them to find your answer.

Step-by-step explanation:

5 0

3 years ago

What is the surface area of the triangular prism ?

IgorLugansk [536]

Answer:

Answer choice B, 2376 square feet

Step-by-step explanation:

The explanation takes a long time to write out, but PM me if you need some help!

7 0

3 years ago