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2 years ago

15

A rectangular hotel room is 5 meters by 6 meters. The owner of the hotel wants to recarpet the room with carpet that costs $57.0

0 per square meter. How much will it cost to recarpet the room?

1 answer:

OLga [1]2 years ago

7 0

Answer:

i dont know

Step-by-step explanation:

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Find the indicated limit, if it exists.

kondor19780726 [428]

Answer:

d) The limit does not exist

General Formulas and Concepts:

<u>Calculus</u>

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Property [Addition/Subtraction]: $\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)$

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}$

<u>Step 2: Find Right-Side Limit</u>

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^+} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} 5 - x = 5 - 5 = 0$

<u>Step 3: Find Left-Side Limit</u>

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^-} x + 3$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8$

∴ Since $\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)$ , then $\displaystyle \lim_{x \to 5} f(x) = DNE$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

5 0

2 years ago

What are the zeros of the function f(x) = x2 + 8x + 4, expressed in simplest radical form? x = –4 ± 2StartRoot 3 EndRoot x = –4

SCORPION-xisa [38]

Answer:

<h2>x = -4 ± 2√(3) </h2><h2 />

Step-by-step explanation:

Discriminant Δ = √(8²-4×(1)×(4)) = √(48) = √(4×12) = √(4)×√(12) = 2√(12)

then x = (-8 ± 2√(12))÷2 = -4 ±√(12) = -4 ±√(3×4) = -4 ± 2√(3)

4 0

3 years ago

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A farmer has sheep and cattle in the ratio 8:3. How many sheep has the farmer if he has 180 cattle?

ruslelena [56]

There are 480 Sheep.

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3 years ago

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Which expression shows twice the sum of 8 and a number n?

IRISSAK [1]

Correct Answer: A. 2(n+8).

6 0

3 years ago

29/4 into mixed number

Rus_ich [418]

The answer would be 28 and 1/4.

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3 years ago

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