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Reil [10]
3 years ago
7

What is the vertical asymptote of this function?

Mathematics
1 answer:
liraira [26]3 years ago
7 0

Answer:

D

Step-by-step explanation:

If y = log x is the basic function, let's see the transformation rule(s):

Then,

1. y = log (x-a) is the original shifted a units to the right.

2. y = log x + b is the original shifted b units up

Hence, from the equation, we can say that this graph is:

** 2 units shifted right (with respect to original), and

** 10 units shifted up (with respect to original)

<u><em>only, left or right shift affects vertical asymptotes.</em></u>

Since, the graph of y = log x has x = 0 as the vertical asymptote and the transformed graph is shifted 2 units right (to x = 2), x = 2 is the new vertical asymptote.

Answer choice D is right.

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Answer:

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Step-by-step explanation:

<em>Starter:</em>

According to the title:

"Every day, half a bacteria population dies."

Exponential: y = ab^x ( b > 0 , b ≠ 1)

So the answer is C.

<em>Calculations:</em>

An exponential model is of the form y = a • b^t.

If you start with population of 500 million bacteria

t = 0

so 500 million = a • b^0 = a

Since every day half the population dies then in 1 day population will be 250 million

so a = 500 million, y = 250 million and t = 1

250 million = 500 million • b^1

b = 0.5

Therefore your equation would be

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Where t = number of days

This could also be written in exponential form ( e = 2.73)

4 0
2 years ago
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sergij07 [2.7K]

Answer:

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Step-by-step explanation:

25.65 ≈ 25.7, 13.23 ≈ 13.2, 6.35 ≈ 6.4

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Correct choice is b.

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The door frame is a rectangle. The diagonals of a rectangle are congruent. She can measure the two diagonals and make sure they are congruent.

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Step-by-step explanation:

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