Answer:
7.9%
Step-by-step explanation:
568.01/7190=0.079=7.9%
The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
<h3>
Answer: 22</h3>
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Explanation:
- x = measure of angle 1 = angle WXY
- 2x = twice the measure of angle 1 = measure of angle 2 = angle YXZ
The two angles mentioned combine to form angle WXZ which is 66 degrees.
angle1+angle2 = angle WXZ
x+2x = 66
3x = 66
x = 66/3
x = 22
Angle 1 is 22 degrees and angle 2 is 22*2 = 44 degrees.
Check:
angle1+angle2 = 22+44 = 66 = angle WXZ
Answer:
Step-by-step explanation:
(a) Option B cost less at 120 miles driven
The cost difference at 120 miles between option A and option B is $15
(b) Option A and B cost the same at driving 60 miles.
Option B would cost more if you drive less than 60 miles.
Answer:
80 mph
Step-by-step explanation:
720÷9=80
hope this helps!!!
