Find where the equation is undefined ( when the denominator is equal to 0.
Since they say x = 5, replace x in the equation see which ones equal o:
5-5 = 0
So we know the denominator has to be (x-5), this now narrows it down to the first two answers.
To find the horizontal asymptote, we need to look at an equation for a rational function: R(x) = ax^n / bx^m, where n is the degree of the numerator and m is the degree of the denominator.
In the equations given neither the numerator or denominators have an exponent ( neither are raised to a power)
so the degrees would be equal.
Since they are equal the horizontal asymptote is the y-intercept, which is given as -2.
This makes the first choice the correct answer.
Option D. However, despite its many utilitarian benefits, colleges have not always supported the study of philosophy.
Which choice most effectively sets up the information that follows?
- Despite philosophy teaching useful tools for academic and professional achievement, only 18 percent of the American colleges incorporated the course within curriculum, thus indicating their lack of support.
- Hence, Option D is correct. The other options do not express this condition.
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Answer:
Monday: 5x + 14
Tuesday: Average is about 55.77 and Median is 56
Step-by-step explanation:
To combine like terms means to add or subtract the terms with similar variables. So I did as such to find the answer.
24 - 10 = 14 and 7x - 2x = 5x
The average is found by dividing the sum of all values in the list by the number of list options. The median is the value found in the middle of the list.
The number from standard form to decimal form is as follows:
2.077 × 10⁻⁴ = 0.0002077
<h3>How to express number in standard form?</h3>
Standard form is a convenient way of writing very large or very small numbers.
Standard form is a way of writing a number so it is easier to read.
Standard form is like scientific notation and is typically used in science.
Standard form is like scientific notation and it is represented in the format as follows:
a × 10ᵇ
Therefore, the number is already in standard form but we can convert it back to decimal form as follows:
2.077 × 10⁻⁴ = 2.077 × 1 / 10000 = 0.0002077
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Answer:
20% probability that the next customer will pay with cash
Step-by-step explanation:
A probability, as a decimal, is the number of desired outcomes divided by the number of total outcomes.
To find as percent, we multiply by 100.
In this question:
Total of 54+63+153 = 270 customers.
Of those, 54 paid with cash.
Based on the number of customers from last week, what is the probability as a percent that the next customer will pay with cash?
54/270 = 0.2
0.2*100 = 20%
20% probability that the next customer will pay with cash
