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dimaraw [331]
3 years ago
15

Pre-calc, Which statement correctly uses limits to determine a vertical asymptote of _____ (image attached)

Mathematics
1 answer:
Ainat [17]3 years ago
7 0

Answer:

Option D

Step-by-step explanation:

Given the function g(x)=\frac{-7(x-5)^2(x+6)}{(x-5)(x+5)}, we see that (x-5) appears in both the numerator and denominator which cancel out to be \frac{-7(x-5)(x+6)}{(x+5)}. This means that there's a vertical asymptote at x=-5 for the denominator to be 0.

Additionally, the limit of the function g(x) as x approaches -5 from the left side is -∞. The limit of the function g(x) as x approaches -5 from the right side is ∞. See the attached graph for a visual of these limits.

In conclusion, option D is correct.

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Indicate the method you would use to prove the two ▲'s ≅. If no method applies, enter "none".
zysi [14]

Answer: None


Step-by-step explanation:

In the given picture , there are two triangles and their corresponding angles are equal.

So by AAA similarity criteria they are similar. But there is no other information is given to prove that they are congruent.

[∵ we know that congruent are similar but similar triangles may not be congruent.]

Therefore, there is no sufficient information to prove them congruent by using any given postulate.

Hence, the answer is "None".



4 0
3 years ago
Read 2 more answers
A group of four friends went out for dinner. Their bill came to $50.95. They also need to pay 8% sales tax, and want to tip thei
bija089 [108]

Answer:

Enter cost and tip percent to get a tip amount and total dinner amount. Also split the total amount; divide among any number of people. ... Money, Pay, Taxes. > Tip ... Enter your meal or dinner cost along with the tip percentage. ... To calculate a gratuity or tip on any calculator it is a simple multiplication. ... All rights reserved

Step-by-step explanation:

After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You decide to leave a 20% tip for the waiter based on the pre-tax amount. How much ... To figure out the tip, you need to find 20% of $52.60. 0.2 \times 52.6

3 0
3 years ago
50 POINTS!!!!
amid [387]
The answer is 503.39

Hope this helps
3 0
3 years ago
Isaac is working as a security guard. He earns $8.45 an hour. He earns double time for any overtime over 40 hours. Last week he
andreev551 [17]

Answer:

$405.60

Step-by-step explanation:

If Isaac works for 40 hours will earn $8.45×40=$388. Since he worked 4 extra hours, he will earn $8.45×2×4 since he worked 4 extra hours. $8.45×2=$16.90, which is the amount he earns for every extra hour he works. $16.90×4=$67.60. Now if we add $67.60+$388=$405.60.

Hope this helps!

6 0
3 years ago
In a movie theater, the number of seats in a row is 8 greater than the total number of rows. How many rows are in the movie thea
Harman [31]

Answer:

26 rows

Step-by-step explanation:

this is like a rectangle length×width situation.

seats per row = s

number of rows = r

s × r = 884

s = r + 8

so, we can use e.g. the second equation in the first :

(r + 8) × r = 884

r² + 8r = 884

r² + 8r - 884 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = r

a = 1

b = 8

c = -884

r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =

= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =

= (-8 ± 60)/2 = -4 ± 30

r1 = -4 + 30 = 26

r2 = -4 - 30 = -34

a negative number did not make any sense for the number of rows, so r = 26 is our answer.

8 0
2 years ago
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