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Sloan
1 day ago
15

What are the domain and range of the logarithmic function f(x) = log7x? Use the inverse function to justify your answers.

Mathematics
2 answers:
Inessa [8.9K]1 day ago
7 0
Explaining the answer: The logarithmic function in question, with a base of 7, is defined by the set of all possible x values for which y is defined. This function is valid for log x > 0, which means x must be greater than 0. Therefore, the domain is x ∈ (0,∞). The range is defined by the values of y corresponding to the defined x, resulting in a range of y ∈ (0,∞). The inverse function can be derived by swapping x and y in the original equation, yielding: Thus, the inverse also confirms that both x and y are greater than 0.
lawyer [9.2K]1 day ago
3 0
I hope this provides the assistance you need.
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The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,00
Svet_ta [9486]

Answer: the likelihood of a randomly selected tire lasting exactly 47,500 miles is 0.067

Step-by-step explanation:

Since the expected lifespan of this tire brand follows a normal distribution, we will use the normal distribution formula:

z = (x - µ)/σ

Where

x = lifespan of the tire in miles.

µ = mean

σ = standard deviation

The given figures include,

µ = 40000 miles

σ = 5000 miles

The probability that a tire will last precisely 47,500 miles

P(x = 47500)

For x = 47500,

z = (40000 - 47500) / 5000 = -1.5

According to the standard normal distribution table, the probability associated with this z score is 0.067

6 0
21 day ago
What is the factored form of the polynomial x2 - 16x + 48
PIT_PIT [9101]
(x - 12) (x - 4) is the answer

4 0
28 days ago
Read 2 more answers
A man 50 years old has 8 sons born of equal intervals. The sum of the ages of the father and sons is 186. What is the age of the
babunello [8402]
<span>Denote x as the interval, then: 186 = 50 + 3 + (3+x) + (3+2x) + (3+3x) + (3+4x) + (3+5x) + (3+6x) + (3+7x) 186 = 74 + 28x x = 4 Age of the eldest son = 3+7x = 3+28 = 31.</span>
8 0
9 days ago
Kendra is choosing bouquets of flowers for table centerpieces. She decides to buy 40 bouquets for $120 because she thinks that p
babunello [8402]

Answer:

Find below:

Step-by-step explanation:

To determine this, we will either calculate the total cost of acquiring 40 bouquets at $2.50 each or find the single bouquet’s cost at $120.

Cost of one in pack of 40 priced at $120.

120 divided by 40 equals $3

Now, we notice that $3>$2.50

This indicates Kendra has made an error by purchasing the 40 bouquet pack at $120

Hope this helps.

Good Luck

7 0
5 days ago
How do I write 56 1/4% as a fraction in simplest form
Svet_ta [9486]
56 1/4% = 9/16
I hope this information is useful!
3 0
11 days ago
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