Answer:
Th Range is [0, -∞)
Step-by-step explanation:
f(x) = 2 - x
w(x) = x - 2
We want to find the range of (f * w)(x).
First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):
This is a quadratic function (U shaped), or a parabola. The graph is attached.
The range is the set of y-values for which the function is defined.
We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,
0 < y < ∞
In interval notation, that would be:
[0, -∞)
Answer:
10%
Step-by-step explanation:
To find the percentage, ask yourself, how much is 2000 of the original value which is 20350. This can be solved by the following equation.
2000/20350=
The answer is approximately 0.09828. Then, convert this to a percent. 9.828%. Then, round it to the nearest percent. The answer is 10%
Answer:
He would 36 miles all together.
Step-by-step explanation:
Consider the diagram showing the path Joel biked. Joel biked 9 miles east and then 12 miles north. If he biked back to his starting point using the most direct route, he would have ride 36 miles all together. Joel’s starting point is x.
In order to solve this, we must use the Pythagorean theorem.
The amount of miles would be found by adding the 3 sides together to find the sum or answer.
15 + 9 + 12 = 36 miles
The roman numeral mmcmlxii represents the number 1962
