Answer:
5.26 X 10^-3
Step-by-step explanation:
Answer:
all values! x ∈ R
Step-by-step explanation:
The derivative f'(x) = 6x²-6x+12 is a parabola opening upward, with its (positive!) minimum at (0.5, 11.5). If the derivative is always positive, the function must be increasing everywhere!
Answer:
Image below
Step-by-step explanation:
<em>Given: Side lengths of a right triangle 3,4 and 5 units.
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To draw: A right triangle with the given side length.
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Solution:
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We know, in a right angle triangle hypotenuse is the longest side and satisfying Pythagoras theorem.
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From the given side length,
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Hypotenuse = 5 unit
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We can take any of the base and perpendicular.
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Let, Base = 3 unit
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Perpendicular = 4 unit.
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It a right-angle triangle with a hypotenuse 5 unit.
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Now we draw a right angle triangle taking in the first 3 base and 4 perpendicular and second 3 perpendicular and 4 bases.</em>
Answer:
a. Compressed f toward the x-axis, and then translated it left 4 units.
Step-by-step explanation:
General equation for this is:
y = a√(x - h) + k
- a is how much it's being compress or stretched
- h is how much it's shifted in the x-direction
- k is how much it's being shifted in the y-direction
We're given:
g(x) = 1/2√(x + 4)
g(x) = 1/2√(x - (-4))
My a-value is 1/2, so the original function f(x) is being compressed by 1/2 toward the x-axis.
My h value is -4 so it's being shifted by 4 units. It's shifted to the left because it's negative.
There is not k-value so nothing is shifted in the y-direction.
Answer:
Y = -1/2x + 7/2
Step-by-step explanation:
slope = -1/2