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MariettaO [177]

3 years ago

10

Give the reason for the last statement in the proof

1 answer:

bonufazy [111]3 years ago

8 0

Answer:

The order of the statements in the proof is not always fixed, but make sure the order makes logical sense.

Use symbols and abbreviations for words within proofs. For example, ≅ can be used in place of the word congruent. You could also use ∠ for the word angle.

Step-by-step explanation:

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Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4

djverab [1.8K]

Answer:

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

$\lim_{x\to\\2}\frac{x^3}{(x-2)^4} \\\\\\lim_{x\to\\2}\frac{2^3}{(2-2)^4}\\\\\lim_{x\to\\2}\frac{2^3}{(0)^4} = \infty$

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

$\lim_{x \to \infty}\frac{x^3}{(x-2)^4}$

if $\lim_{x \to \infty}\frac{x^3}{(x-2)^4} = b$ then y = b is horizontal asymptote

Then:

$\lim_{x \to \infty}\frac{x^3}{(x-2)^4} \\\\\\lim_{x \to \infty}\frac{1}{(\infty)} = 0$

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

3 0

4 years ago

Read 2 more answers

Did I get this right if not can you help

gregori [183]

Answer:

that should be right

Step-by-step explanation:

6 0

3 years ago

Mumz [18]

Answer:

d 32 ft

Step-by-step explanation:

multiply 8 and 4

5 0

4 years ago

Read 2 more answers

Is x=3 a solution for the equation: 3x + 7 = 13<br> Why or why not ?

expeople1 [14]

Answer:

No.

Step-by-step explanation:

There are two different ways to do this - solve for x in the given equation or substitute the value for x and see if you get a true statement.

3x + 7 = 13 subtract 7 from both sides

3x = 6 divide by 3 on both sides

x = 2

3(3) + 7 = 13

9 + 7 = 13

16 ≠ 13

Therefore, x = 3 is not a solution for 3x + 7 = 13.

5 0

3 years ago

Beverage A and Beverage B are sold in identical cans. Beverage A is 12% suger. The portion of Beverage B that is suger is 0.3. H

8090 [49]

Answer:

if you convert the sugar in beverage A to the decimal .12 and compare it to beverage Bs .3 you'll find that B has 2.5 times more sugar than A.

Step-by-step explanation:

12 × 100= .12

.12 × 2.5= .30

4 0

3 years ago