Answer:
-4<x<-1
Step-by-step explanation:
To solve the problem, we divide the whole expression by 2:
2x^2 + 10x < –8 → x^2 + 5x < –4
→ x^2 + 5x + 4 < 0
Factorizing
→ (x+4)(x+1) < 0
The expression is ONLY negative when:
x>-4 and x<-1
Therefore, the solution is:
-4<x<-1
Answer:
Hi I'm learning the same thing and I just got it I think it's C=43.98cm
Answer:
Option B. Pentagonal prism
Step-by-step explanation:
Option (A). Cube
Base of a cube is a square.
Option (B). Pentagonal prism
A prism is always defined by its base.
Example: triangular prism, rectangular prism
Therefore, pentagonal prism will have a base in the shape of a pentagon.
Option (C). Triangular prism
Triangular prism will have a triangular base.
Option (D). Rectangular prism
Rectangular prism will have a rectangular base.
Answer:
Ur mom lol she gave birth to a kid who knows nothin
Step-by-step explanation:
Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose

We have
and
, because the dice are fair.
Now we use the assumption of independence to claim that

Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:
- 2 in a unique way (1+1)
- 3 in two possible ways (1+2, 2+1)
- 4 in three possible ways
- 5 in three possible ways
- 6 in three possible ways
- 7 in two possible ways
- 8 in a unique way
This implies that the probabilities of the outcomes of
are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5