Answer:
Step-by-step explanation:
3x2−2x−5=0
Let us factorize using the split the middle term method.
On inspection we observe that middle term can be split in two parts whose product is equal to the product of first and third term.
Two terms are −5xand3x
The equation becomes
3x2+3x−5x−5=0, pairing the two and taking out common factors
⇒(3x2+3x)−(5x+5)=0,
don't forget to change the sign of −5 once placed inside the parenthesis.
⇒3x(x+1)−5(x+1)=0
⇒(x+1)(3x−5)=0
Either (x+1)=0 or (3x−5)=0
We obtain x=−1,53
or x=−1,123
Answer: B
Step-by-step explanation:
The area of the entire rectangle is (10+30)(15+10) = 1000, and the area of region II is (30)(15)=450. Hence, the desired probability is 450/1000 = 45%.
Given:
The mean age of 5 people in a room is 26 years.
A person enters the room. The mean age is now 33.
To find:
The age of the person who entered the room.
Solution:
Formula for mean:
The mean age of 5 people in a room is 26 years.
The mean age is now 33. It means, the mean age of 6 people is 33.
Now, the age of the person who entered the room is
Required age = Sum of ages of 6 people - Sum of ages of 5 people
= 
= 
Therefore, the age of the person who entered the room is 68 years.
Hello
By just looking at the question, you should know that if there an absolute value symbol (which are those two straight lines surrounding that equation), the answer will always be positive.
Answer:
-11
Step-by-step explanation:
Simplify
5×−4+9
Simplify
−20+9
Answer
−11
