Answer:y= -5x+1
9=-5(-2)-1=9
-4=-5(-1)-1
Step-by-step explanation:
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.
Step-by-step explanation:
The perimeter of a triangle is calculated by adding all three side lengths together
That means x + 3 + x + 4 + x + 1 = 17 add the like terms
3x + 8 = 17
3x = 9
x = 3
BC = x + 3 ➡ 6
CD = x + 4 ➡ 7
BD = x + 1 ➡ 4
Answer:
All three are rational numbers.
Step-by-step explanation:
I used Desmos (a graphing calculator online) and the roots were all able to be written with fractions.
