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ladessa [460]
2 years ago
14

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

Mathematics
1 answer:
babunello [35]2 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 describes the graph of y=[x-2]?
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Answer:

What are the answer choices, if you have any?.

Step-by-step explanation:

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1 year ago
How many decimal places are in the product? 0. 053×2. 78.
Genrish500 [490]

Answer:

there are 4 decimal places

Step-by-step explanation:

you must solve the math

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3 years ago
A department store uses a markup of 40%. Calculate the selling price of a shirt that cost the retailer $25.
drek231 [11]
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8 0
3 years ago
When Mya looked out at the store's parking lot, she noticed that for every 4 cars, there were 6 trucks. If there's a total of 22
olasank [31]

Answer:

<h2>88 cars</h2><h2>132 trucks</h2>

Step-by-step explanation:

This is a ratio problem, the ratio of  cars to trucks

for every 4 cars, there are 6 trucks

represented as a ratio we have 4:6

1. how many of them are cars

applying the part to whole strategy we have

4+6 = 10

let cars be x

\frac{4}{10}= \frac{x}{220}  \\\\x= \frac{220*4}{10} \\\\x= 880/10\\\\x= 88 cars

2.  how many of them are trucks?

let trucks be y

\frac{6}{10}= \frac{y}{220}  \\\\x= \frac{220*6}{10} \\\\y= 1320/10 \\\\y= 132 trucks

3 0
3 years ago
Show work to triangles 2 and 3 explaining why they are right triangles
olganol [36]

Answer:

Step-by-step explanation:

In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:

a^2+b^2=c^2 where c is the hypotenuse.

We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.

In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:

\sqrt{443}^2+17^2=24^2 which gives us

443 + 289 = 576, but 732 does not equal 576, so that one is not right.

In the second set, the sqrt of 725 is the longest side, so that formula is:

\sqrt{725}^2=14^2+23^2 which gives us

725 = 196 + 529, and 725 does equal 725, so that one is right.

In the third set, the sqrt of 890 is the longest side, so:

\sqrt{890}^2=19^2+23^2, which gives us

890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.

6 0
3 years ago
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