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love history [14]
3 years ago
15

CALC!! Please help me. For which pair of functions f(x) and g(x) below will the limit as x goes to infinity of the product of f

of x and g of x does not equal 0? (I have attached a photo of the multiple choice answers and the question itself)

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0
First limit:
\lim_{x\to\infty}(10x+e^{-x})*\frac{1}{5x}
=\lim_{x\to\infty}(2+\frac{1}{5xe^{x}})
=2+0
=2

Since we know that the first pair of functions does not approach 0, we do not have to check the others.
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I believe the answer would be B
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0.6x + 3 = 0.1x - 7 what value of x makes the question true
svetlana [45]

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Step-by-step explanation:

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3 years ago
A deck of 52 cards is shuffled. The first five cards of the deck are red. What is the probability that the last card in the deck
saveliy_v [14]

Answer:

The answer is "\frac{1}{47}".

Step-by-step explanation:

Although the five first players are red, the very first five cards are not spaded as the spad is a black card.  

Its chance of the final card mostly on deck being the ace of spades is therefore determined as:

= \frac{1}{\text{Number of remaining cards with the initial 5 cards}} \\\\= \frac{1}{47}

Thus, \frac{1}{47} here is the necessary chance.

7 0
3 years ago
Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inch
chubhunter [2.5K]

Answer:

Two equal sides = 14.4 inches each

Shortest side = 7.2 inches

Step-by-step explanation:

a + b + c = 36

a = b

a = 2c

then:

c = a/2

a + a + a/2 = 36

2a + a/2 = 36

4a/2 + a/2 = 36

5a/2 = 36

a = 2*36/5

a = 72/5

a = 14.4

a = 2c

14.4 = 2*c

c = 14.4/2

c = 7.2

a = b

b = 14.4

Check:

14.4 + 14.4 + 7.2 = 36

3 0
3 years ago
The original price of a pair of shoes at Nike Outlet is 109.99 and there is a mark down of 25% because the shop is having a blac
marissa [1.9K]

Answer:

27.50

Step-by-step explanation:

109.99=100%

10.999=10%

21.998=20%

27.4975=25%

so they are taking £27.4975 off the original price meaning the new price is £82.4925 but, because it is money, you would need to round this to two decimal places leaving the new price as £82.49

3 0
3 years ago
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