|x| this means absolute value making what ever number in the inside positive UNLESS you have a negative out front. Ex |8|=8. -|8|=-8. |-8|=8
Answer:
Step-by-step explanation:
The correct answer is option B which is the second graph in the image showing the function h(x) = -(x+6)³-3.
<h3>What is a graph?</h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given function:
h(x) = -(x+6)³-3.
The given function is cubic and cuts the x-axis at the point (-7.442,0) the graph is bending towards the left side in the second quadrant.
Therefore the correct answer is option B which is the second graph in the image showing the function h(x) = -(x+6)³-3.
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3√24= 3√2^2*6 = 3*2√6 = 6√6
2√384= 2√8^2*6 = 2*8√6 = 16√6
√96= √4^2*6 = 4√6
6√6 -16√6- 4√6 = -14√6
Final answer: -14√6
<h3>Given</h3>
- C(t) = 40 cm + t·(2/5 cm/s) . . . circumference of a circle vs time
<h3>Find</h3>
- dr/dt for radius r
- r at t=4 seconds
<h3>Solution</h3>
The circumference and radius of a circle are related by
... C = 2πr
so the radius in terms of circumference is
... r = C/(2π)
... r(t) = (40 +0.4t)/(2π) = (1/π)(20 cm + 0.2t cm/s)
Then dr/dt is
... dr/dt = 0.2/π cm/s
And the radius at t=4 s is
... r(4) = (1/π)(20 + 0.2·4) cm
... r(4) = 20.8/π cm