Examine the polynomial p(x)=6x^3+17x^2−24x−35.

The aquarium is 2 1/2 miles from her hotel. She walks 1/4 to the bus stop. Takes the bus for 1 3/4 miles and walks the rest of t

OleMash [197]

Answer:

2/4

Step-by-step explanation:

Change the 2 1/2 to 2 2/4

now subtract 1/4 from 2 2/4 leaving 2 1/4

Now subtract 1 3/4 from 2 1/4 in which you get 2/4

which is the answer :)

7 0

2 years ago

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Examine the graph of the logarithmic function f(x).

Eduardwww [97]

Answer:

The function f(x) has a vertical asymptote at x = 3

Step-by-step explanation:

We can define an asymptote as an infinite aproximation to given value, such that the value is never actually reached.

For example, in the case of the natural logarithm, it is not defined for x = 0.

Then Ln(x) has an asymptote at x = 0 that tends to negative infinity, (but never reaches it, as again, Ln(x) is not defined for x = 0)

So a vertical asymptote will be a vertical tendency at a given x-value.

In the graph is quite easy to see it, it occurs at x = 3 (the graph goes down infinitely, never actually reaching the value x = 3)

Then:

The function f(x) has a vertical asymptote at x = 3

6 0

3 years ago

Adam has 10 blocks numbered 1 through 10. Which describes the probability of randomly choosing a block that has an even number?

Licemer1 [7]

Answer:

$\dfrac{1}{2}$

Step-by-step explanation:

Given that:

10 number of blocks which have numbers from 1 through 10.

To find:

Probability of randomly choosing a block that has an even number.

Solution:

The given set of numbers is: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

There are a total of 5 Even numbers are {2, 4, 6, 8, 10}.

And There are a total of 5 Odd number are {1, 3, 5, 7, 9}.

Formula for probability of an event <em>E</em> can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, Event <em>E </em>is randomly choosing an even number.

Number of favorable cases = 5

Total number of cases = 10

Therefore, the required probability is:

$P(E) = \dfrac{5}{10}\\\Rightarrow P(E) = \dfrac{1}{2}$

3 0

2 years ago

When it is 2:00 p.m. in New York City, it is 9:00 PM in Athens. If you leave New York at 7:30 a.m. on Wednesday and fly to Athen

Scilla [17]

First, we determine the difference in the times between New York City and Athens. From the given above, we can conclude that the difference between the times is 7 hours. Then, we determine the time in New York when the arrived in Athens.
Time in New York : 7:30 am + (13 hours + 45 minutes)
= 21:15 or 9:15 pm of Wednesday
Then, we translate this to time in Athens by adding the difference to our answer above,
Time in Athens: 9:15 pm Wednesday + 7 hours
= 4:15 am of Thursday
Thus, the answer is letter C.

5 0

3 years ago

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Which is the best estimate for the wing span of a butterfly?

lozanna [386]

1st one I believe...

3 0

3 years ago

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