If x+2 is a factor of x^3+6x^2+kx+10, then if we replace x by -2 in the polynomial x^3-6x^2+kx+10, we must get zero:
x=-2→(-2)^3-6(-2)^2+k(-2)+10=0→
-8-6(4)-2k+10=0→
-8-24-2k+10=0
-2k-22=0
Solving for k. Adding 22 both sides of the equation:
-2k-22+22=0+22
-2k=22
Dividing both sides of the equation by -2:
-2k/(-2)=22/(-2)
k=-11
Answer: k = - 11
9514 1404 393
Answer:
4a +4
Step-by-step explanation:
The average rate of change of f(x) on the interval is ...
(f(a) -f(1))/(a -1)
= ((4a² -6) -(4(1)² -6))/(a -1) = (4a² -4)/(a -1)
= 4(a² -1)/(a -1) = 4(a +1) = 4a +4
The average rate of change on the interval is 4a +4.
Answer:
1. given
2. vertically opposite angles are equal
3. alternate angles on parallel lines P||q are equal
4. vertically opposite angles are equal
5. angle 1 = angle 3 (corresponding angles on parallel lines are equal)
angle 3=angle 4 (vertically opposite angles are equal)
therefore angle 1 = angle 4
Step-by-step explanation:
hope that helps :)
