A garden table and a bench cost 816 combined. The garden table costs 84 less than the bench. What is the cost of the bench?
1 answer:
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The equation of the red graph, g(x) is g(x) = |x| - 5
<h3>How to determine the equation of the red graph, g(x)?</h3>The graph that completes the question is added as an attachment
The function f(x) is given s:
f(x) = |x|
From the attached graph, we can see that the function f(x) is shifted 5 units down to get to g(x).
This means that:
g(x) = f(x) - 5
Substitute f(x) = |x|
g(x) = |x| - 5
Hence, the equation of the red graph, g(x) is g(x) = |x| - 5
Read more about function transformation at:
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Answer:
Step-by-step explanation:
The standard equation of a circle centered at (a,b) with radius r would be (x - a)^2 + (y - a)^2 = r^2
This example represents a circle with center (2, - 1) having a radius of 3
The parametric equation of a circle centered at (0,0) would be;
x = r cos t,
y = r sin t
And so when centered at (a, b) we would have;
x = a + r cos t,
y = b + r sin t
In this case x = 2 + 3 cos t, and y = - 1 + 3 cos t
Now if the particle starts at (-1, - 1), correspondent to a start parameter of t = π, we need two revolutions so it should be that t = π + 2 * 2π = 5π.
