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3 years ago

Which one is <> or= 8.75 kg or 875g

Mathematics

1 answer:

scoray [572]3 years ago

7 0

875g is smaller so

8.75kg>875g

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Use the definition of continuity and the properties of limit to show that the function f(x)=x sqrtx/ (x-6)^2 is continuous at x=

jasenka [17]

Answer:

The function $\\ f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}$ is continuous at x = 36.

Step-by-step explanation:

We need to follow the following steps:

The function is:

$\\ f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}$

The function is continuous at point x=36 if:

The function $\\ f(x)$ exists at x=36.
The limit on both sides of 36 exists.
The value of the function at x=36 is the same as the value of the limit of the function at x = 36.

Therefore:

The value of the function at x = 36 is:

$\\ f(36) = \frac{36*\sqrt{36}}{(36-6)^{2}}$

$\\ f(36) = \frac{36*6}{900} = \frac{6}{25}$

The limit of the $\\ f(x)$ is the same at both sides of x=36, that is, the evaluation of the limit for values coming below x = 36, or 33, 34, 35.5, 35.9, 35.99999 is the same that the limit for values coming above x = 36, or 38, 37, 36.5, 36.1, 36.01, 36.001, 36.0001, etc.

For this case:

$\\ lim_{x \to 36} f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}$

$\\ \lim_{x \to 36} f(x) = \frac{6}{25}$

Since

$\\ f(36) = \frac{6}{25}$

And

$\\ \lim_{x \to 36} f(x) = \frac{6}{25}$

Then, the function $\\ f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}$ is continuous at x = 36.

8 0

3 years ago

Don’t understand that problem

nata0808 [166]

Answer:

(2c³ -20c² -10c) -(c² -40c +100)

Step-by-step explanation:

Profit

For a problem involving cost, revenue, and profit, you are expected to know that profit is the difference between revenue and cost. That is, if it costs you $2 to make a necklace you sell for $10, your profit is $10 -2 = $8.

Problem

The problem gives you polynomial expressions for revenue and cost, and asks you to combine them to make an expression for profit. In this first part, we simply show how we will combine them. (We presume a later part of the question will ask you to simplify the result.)

profit = revenue - cost

Substituting the given expressions, we have ...

profit = (2c³ -20c² -10c) -(c² -40c +100) . . . . . matches last choice

5 0

3 years ago

Please help me ill give brainliest

Brrunno [24]

Answer:

-5 - 7(-2)

-5 - (-14)

4 0

3 years ago