Answer:
c > -7/8
Step-by-step explanation:
Add 2 for an inequality that compares to zero:
2x^2 -3x +(c+2) > 0
This will be true when the discriminant is negative. For the quadratic ...
ax^2 +bx +c
the discriminant is ...
b^ -4ac
We want this to be negative:
(-3)^2 -4(2)(c+2) < 0
9 -8(c +2) < 0
9 -8c -16 < 0
-7 < 8c
-7/8 < c
The given inequality will be true for all values of c greater than -7/8.
Answer:
Independent events, 1/16
Step-by-step explanation:
What we must take into account is that they are 2 different bags, because in one bag are the black pieces and in another bag are the white feed, regardless of which piece is removed, one event has nothing to do with the other event being different bags.
Which means that they are independent events.
And the probability for each case would be 1/16, because the probability is one piece out of 16 that is in each bag.
Answer:
( - 2 - 5m ) / 3
Step-by-step explanation:
15m + 9n = - 6
9n = - 6 - 15m
Divide by 3 on both sides,
9n / 3 = - 6 / 3 - 15m / 3
3n = - 2 - 5m
n = ( - 2 - 5m ) / 3
The zeros are -6, -2, 4. A graphing calculator helps if you have difficulty factoring.
