d ( f o c) / dt = 9
( solution is attached below)
The graph of the function f(x) = –(x + 6)(x + 2) is shown below. Which statement about the function is true? The function is inc
reasing for all real values of x where x < –4. The function is increasing for all real values of x where –6 < x < –2. The function is decreasing for all real values of x where x < –6 and where x > –2. The function is decreasing for all real values of x where x < –4.
1 answer:
From the attached graph, we see that
f(x) is increassing in (- ∞ , -4), and
f(x) is decreasing in ( -4, ∞ )
therefore
The function is increasing for all real values of x where x < –4. TRUE
<span>The function is increasing for all real values of x where –6 < x < –2. (FALSE, f(x) is positive in this range)
</span><span>The function is decreasing for all real values of x where x < –6 and where x > –2. (FALSE, f(x) is negative in this range)
</span><span>The function is decreasing for all real values of x where x < –4. (FALSE, f(x) is decreasing ∀ x>-4</span>
f(x) is increassing in (- ∞ , -4), and
f(x) is decreasing in ( -4, ∞ )
therefore
The function is increasing for all real values of x where x < –4. TRUE
<span>The function is increasing for all real values of x where –6 < x < –2. (FALSE, f(x) is positive in this range)
</span><span>The function is decreasing for all real values of x where x < –6 and where x > –2. (FALSE, f(x) is negative in this range)
</span><span>The function is decreasing for all real values of x where x < –4. (FALSE, f(x) is decreasing ∀ x>-4</span>
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We have to find the" ratio of the area of sector ABC to the area of sector DBE".
Now,
the general formula for the area of sector is
Area of sector= 1/2 r²θ
where r is the radius and θ is the central angle in radian.
180°= π rad
1° = π/180 rad
For sector ABC, area= 1/2 (2r)²(β°)
= 1/2 *4r²*(π/180 β)
= 2r²(π/180 β)
For sector DBE, area= 1/2 (r)²(3β°)
= 1/2 *r²*3(π/180 β)
= 3/2 r²(π/180 β)
Now ratio,
Area of sector ABC/Area of sector DBE =
= 4/3
Using normal distribution 
critical probability
critical value for the critical probability is CV = 1.96
standard error
margin of error = CV*SE = 1.96 * 0.5 = 0.98
95% confidence interval is between μ + 0.98 and <span>μ - 0.98, which is (19.62, 21.58)</span>
critical probability
critical value for the critical probability is CV = 1.96
standard error
margin of error = CV*SE = 1.96 * 0.5 = 0.98
95% confidence interval is between μ + 0.98 and <span>μ - 0.98, which is (19.62, 21.58)</span>