Click and drag like terms onto each other to simplify fully. -1+4-67-5
1 answer:
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Answer:
The answer is 12
Step-by-step explanation:
Using the mean concept, it is found that:
Relative to Sabrina's goal, her average swim time over the last five weeks is 0.1 hours.
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The mean of a data-set is given by the <u>sum of all observations divided by the number of observations</u>.
In this problem:
- The data-set is her swim time relative to her goal, which is: {1.25, -1, 2.25, 0, -2.}
- 5 observations.
Thus, the mean is:
Relative to Sabrina's goal, her average swim time over the last five weeks is 0.1 hours.
A similar problem is given at brainly.com/question/24787716
True statements:
The domain of h(x) is the set of all real numbers.
The range of h(x) is the set of all real numbers
Step-by-step explanation:
The function given in this problem is
Now let's analyze the statements given:
- The domain of h(x) is the set of all real numbers. --> TRUE. The domain of a function is the set of values allowed for x. Here there is no restriction for the value of x, since the argument of an odd root can have any value (either positive or negative), so the domain of h(x) is the set of all real numbers.
- The range of h(x) is the set of all real numbers. --> TRUE. The range of a function is the set of values that the y can take. In this case, y can take any value: in fact, as , then
, and as
, then
, and since there are no points of discontinuity in the function, this means that it can take any value of y.
For all points (x, h(x)), h(x) exists if and only if x – 4 > 0 --> FALSE. As we stated in part 1), the argument of a cubic root can be either positive or negative, so the function is defined also for x - 4 < 0.
The graph of h(x) is a translation of f(x) down 4 units. --> FALSE. The form of f(x) is not given so we can't evaluate this statement.
The graph of h(x) intercepts the x-axis at (4, 0). --> FALSE. In fact, when , the value of the function is
which is different from 4.
Learn more about domain and range:
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