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ladessa [460]
3 years ago
14

Show that f(x)=x^3 and g(x)=200x^3 grow at the same rate

Mathematics
1 answer:
babunello [35]3 years ago
4 0

Answer:

Following are the response to these question:

Step-by-step explanation:

\to f(x)=x^3 \\\\ \to g(x)=200x^3\\\\

\to  \lim_{n \to \infty} \frac{f(x)}{g(x)} \\\\= \lim_{n \to \infty} \frac{x^3}{200x^3}\\\\= \frac{1}{200} \ \ (infity)\\\\\to f(x) \ \ and \ \ g(x)  grows at the same rate.

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Which of the following is the correct value for x
USPshnik [31]
(1) 5 is the answer
7 0
3 years ago
4. What is the measure of angle ABD in the figure below?*<br> D<br> 2x<br> A<br> B<br> с
katovenus [111]

Answer:

Measure of exterior angle ABD = 136°

Step-by-step explanation:

Given:

measure of ∠A = (2x + 2)°

measure of ∠C = (x + 4)°

measure of ∠B = x°

Find:

Measure of exterior angle ABD

Computation:

Using angles sum property

∠A + ∠B + ∠C = 180°

So,

(2x + 2) + (x + 4) + x = 180

4x + 6 = 180

4x = 176

x = 44

So,

measure of ∠B = x°

measure of ∠B = 44°

Measure of exterior angle ABD = 180 - measure of ∠B

Measure of exterior angle ABD = 180 - 44

Measure of exterior angle ABD = 136°

4 0
3 years ago
Based on the following system of equations, determine the number of solutions.
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5 0
3 years ago
HELP ASAP! The number of entertainment websites in 1995 wass 54. By 2004 there were 793 entertainment website..
AleksandrR [38]
<h3>Answer: Choice A. 82 websites per year</h3>

=============================================================

How I got that answer:

We have gone from 54 websites to 793 websites. This is a change of 793-54 = 739 new websites. This is over a timespan of 2004-1995 = 9 years.

Since we have 739 new websites over the course of 9 years, this means the rate of change is 739/9 = 82.1111... where the '1's go on forever. Rounding to the nearest whole number gets us roughly 82 websites a year.

----------

You could use the slope formula to get the job done. This is because the slope represents the rise over run

slope = rise/run

The rise is how much the number of websites have gone up or down. The run is the amount of time that has passed by. So slope = rise/run = 739/9 = 82.111...

In a more written out way, the steps would be

slope = rise/run

slope = (y2-y1)/(x2-x1)

slope = (793 - 54)/(2004 - 1995)

slope = 739/9

slope = 82.111....

3 0
3 years ago
What is the product? 8(–1) A. –1.4 B. –8 C. 8 D. 11.2
enot [183]
B: -8
8 times 1 = 8, and since there is a negative in front of the 1 when you are multiplying, it should be -8/ 
7 0
3 years ago
Read 2 more answers
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