Answer:
Domain: all real numbers
Range: all real numbers
Step-by-step explanation:
I'm assuming you mean the function
. That's usually written
f(x) = x^(1/5) with the ^ meaning "to the power of..." and the fraction exponent in parentheses so as not to be confused with x^1/5 which could mean x to the first power, divided by 5.
Fractional exponents are used to indicate roots. In this case, x is being raised to the 1/5 power, so this is the fifth root of x, written
. The 5 is called the root index.
For odd roots, like this one, the domain is all real numbers--<em>x</em> can be any number at all. So the domain is all real numbers.
The range is also all real numbers. Attached is a graph of this function. It might not look like it, but the graph rises to the right to any height. The larger <em>x</em> gets, the larger the 5th root gets. A similar thing happens on the left--the smaller <em>x</em> gets, the smaller the 5th root gets.
EDIT: see the comment. For the function
, the domain is all real numbers. The range is positive real numbers. I'll attach a graph!
Answer: second option.
Step-by-step explanation:
Let be "x" the unknown number.
According to the information provided in the exercise, 10 is the result of the subtraction of "x" and -5.
Based on this, you can write the following equation:

To find the value of "x" you must remember the multiplication of signs:

Then:

Finally, subtracting 5 from both sides of the equation, you get:

Answer:
<u>The correct answer s B. 2.21</u>
Step-by-step explanation:
There are three steps to calculate the standard deviation of the set of data given.
n = 5 (5 numbers in the set)
1. Calculate the mean, this way:
(1.2 + 2.3 + 5.2 + 6.6 + 4.8)/5 = 20.1/5 = 4.02
μ = 4.02
2. Calculate the variance, this way:
Sum of the squared difference between each number of the set and the mean divided by the number of elements of the sample minus one.
[(1.2 - 4.02)² + (2.3 - 4.02)² + (5.2 - 4.02)² + (6.6 - 4.02)² + (4.8 - 4.02)²]/4 =
19.568/4 = 4.892
σ² = 4.892
3. Finally, the standard deviation. this way:
Standard deviation is the square root of the variance.
σ² = 4.892
√σ² = √4.892
σ = 2.21
<u>The correct answer s B. 2.21</u>
Answer:
17 messages.
Step-by-step explanation:
Divide 140 by 7 to get 20.
This means it costs 1 dollar for 20 messages.
And therefore 17 messages for 85c.