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.
Answer:
10
Step-by-step explanation:
100% = 40 teams
1% = 40 ÷ 100 = 0.40
25% = 0.40 x 25 = 10
79/100 is the same thing as 79%
3345 because it’s squared
Answer:
<em>1796 students are boys.</em>
Step-by-step explanation:
If 5/9 of students are girls, then 4/9 of the students are boys.
4/9 * 4041 = 1796
