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Anestetic [448]
3 years ago
10

Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→4 x2 − 16 x

2 − 4x
Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0
Probably you are supposed to compute

\displaystyle\lim_{x\to4}\frac{x^2-16}{x^2-4x}

Factorize the numerator and denominator, then simplify:

\displaystyle\lim_{x\to4}\frac{(x-4)(x+4)}{x(x-4)}=\lim_{x\to4}\frac{x+4}x=\frac{4+4}4=2
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It is 1.9 miles from a house to a restaurant and 1.2
stiks02 [169]

9514 1404 393

Answer:

  2.2 miles

Step-by-step explanation:

The Law of Cosines can be used to figure this.

  c² = a² +b² -2ab·cos(C)

  c² = 1.2² +1.9² -2(1.2)(1.9)cos(87°) ≈ 4.811348

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It is about 2.2 miles across the water from the pier to the restaurant.

7 0
2 years ago
100 POINTS
marin [14]

Answer:

12

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7 0
3 years ago
5
SOVA2 [1]

Answer:

The shortest whole number height that will hold the fishing pole is 5 feet.

Step-by-step explanation:

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4 0
3 years ago
Fruit Company A recently released a new applesauce. By the end of its first year, profits on this product amounted to $37,100. T
Anastasy [175]

Answer: 11 year

P(1) = 37,100

P(4) = 58,400

The linear equation (for x ≥ 1)

P(x) = 37,100 + a(x-1)

For x = 4

58,400 = 37,100 + a(4-1)

58,400 - 37,100 = 3a

21300 = 3a

a = 7100

So, the linear equation:

P(x) = 37100 + 7100*(x-1)

P(x) = 37100 + 7100x - 7,100

P(x) = 7100x + 30000

To find when the profit should reach 108100, we can substitute P(x) by 108100.

108100 = 7100x + 30000

108100 - 30000 = 7100x

78100 = 7100x

x = 78100/7100

x = 11

Answer: 11 year

7 0
1 year ago
A benefit of earning an hourly wage instead of a salary is
musickatia [10]

Answer:

B. if you produce more items, you are paid more

Step-by-step explanation:

Hourly wages are significantly less paid wages than salary, however, hourly wages are benefit for those worker who are getting higher hourly wages and they are doing consistent overtime work. As Hourly wages are paid on the number of hours worker work, where number hours and production matter a lot for getting higher wages, however, salary are paid even for non working hours. Hourly wages are beneficial for employer in terms of cost of worker and productivity.

4 0
3 years ago
Read 2 more answers
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