The intervals of the function on the graph are:
- Domain = (-∝, ∝)
- Range = (-∝, 2]
- Increases (-∝, 3]
- Decreases [3, ∝)
<h3>The key features of the function?</h3>
The function is given as:
f(x) = -2(x-3)² + 2
See attachment for the graph.
From the graph, we have;
Domain = (-∝, ∝)
Because it takes all real values as its input
Range = (-∝, 2]
Because it has a vertex of (3, 2) and the vertex is a maximum
Also, it increases on the interval (-∝, 3] and decreases on the interval [3, ∝)
Read more about function interval at:
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Answer:
In its Plessy v. Ferguson decision (1896), the U.S. Supreme Court ruled that “separate but equal” facilities for African Americans did not violate the Fourteenth Amendment, ignoring evidence that the facilities for Black people were inferior to those intended for whites.
Step-by-step explanation:
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Answer:
The standard form of the equation of the circle is .
Step-by-step explanation:
A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.
The equation of a circle in standard form is
where <em>r</em> is the radius of the circle, and <em>h</em>, <em>k</em> are the coordinates of its center.
When the center of the circle coincides with the origin , so
We are also told that the circle contains the point (0, 1), so we will use that information to find the radius <em>r</em>.
Therefore, the standard form of the equation of the circle is .
Answer:
Step-by-step explanation:
(a) 1.56×10^4 = 1.56×10000 = 15,600
(b) There are 3600 seconds in an hour, so Andrew's time was
15600 s/(3600 s/h) = 13/3 h = 4 1/3 h
1/3 hour is 20 minutes, so Evelyn's time of 4:16 is shorter than Andrew's time of 4:20.
3.5x=42
x represents the length, since the formula to find area of a rectangle is width times length.