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
Answer:
it will take 5.5 seconds to hit the ground
Step-by-step explanation:
A projectile is shot vertically from the ground level. It’s height h, in feet, after t seconds is given by 
When the projectile hits the ground then the height becomes 0


GCF is -8t

now set each factor =0 and solve for t


So it will take 5.5 seconds to hit the ground
Answer:
14/37
Step-by-step explanation:
P(E) = 23/37
P(not E) = 1 − P(E)
P(not E) = 1 −23/37
P(not E) = 14/37
Answer:2*2*3*3
Step-by-step explanation:
Answer:
Exact Form:
3
/14
Decimal Form:
_____
0.2
142857
Step-by-step explanation: