The answer is 2cm
or:
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or:
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A tuxedo rental service charges a $150 flat fee for a suit plus $50 per additional day. Write and solve an equation to determine
2 answers:
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Using derivatives, it is found that the x-values in which the slope belong to the interval (-1,1) are in the following interval:
(-15,-10).
<h3>What is the slope of the tangent line to a function f(x) at point x = x0?</h3>It is given by the derivative at x = x0, that is:
.
In this problem, the function is:
Hence the derivative is:
For a slope of -1, we have that:
0.4x + 5 = -1
0.4x = -6
x = -15.
For a slope of 1, we have that:
0.4x + 5 = 1.
0.4x = -4
x = -10
Hence the interval is:
(-15,-10).
More can be learned about derivatives and tangent lines at brainly.com/question/8174665
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The coordinates of the edges of the <em>mini-solar</em> cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60).
The distance between the two edges is 120 centimeters.
The equation for the <em>parabolic</em> mirror is x + 32 = (2/225) · y².
<h3>How to analyze a parabolical mini-solar cooker </h3>
Herein we must understand the geometry of the design of the <em>mini-solar</em> cooker to determine all needed information. The y-coordinates of the edges of the cooker are determined by Pythagorean theorem:
y = ± 60
The coordinates of the edges of the <em>mini-solar</em> cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60). The distance between the two edges is 120 centimeters.
Lastly, the equation of the <em>parabolic</em> mirror can be determined based on the equation of the parabola in <em>vertex</em> form:
x - h = C · (y - k)² (1)
Where:
h, k - Coordinates of the vertex
C - Vertex constant
If we know that (h, k) = (- 32, 0) and (x, y) = (0, 60), then the vertex constant of the equation of the parabola is:
0 + 32 = C · 60²
C = 2/225
Then, the equation for the <em>parabolic</em> mirror is x + 32 = (2/225) · y².
To learn more on parabolae: brainly.com/question/21685473
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Infinite Solution is the answer
