Answer:
the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
Step-by-step explanation:
We need to factorise the function 
If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50
Checking few numbers:
So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of 
by (x-2) to find other factors
The long division is shown in figure attached.
After long division we get: 
The equation can be further simplified as: (x+5)(x+5) or (x+5)^2
So, the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
Answer:
a) 5, 6
b) 8, 9
c) 9, 10
Step-by-step explanation:
It is useful to know the squares of small integers:
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
Then the problem becomes one of identifying the perfect squares the given number lies between
a) 25 < 35 < 36 ⇒ 5 < √35 < 6
b) 64 < 67 < 81 ⇒ 8 < √67 < 9
c) 81 < 93 < 100 ⇒ 9 < √93 < 10
Answer:
-|x+4|-3
Step-by-step explanation:
absolute values
Answer:
There are 
spectators in the soccer stadium.
Step-by-step explanation:
From this statement, we can calculate the number of spectators in a soccer stadium by dividing the amount of bacteria among the spectators in a soccer stadium by the amount of bacteria in the human body. That is:
There are spectators in the soccer stadium.
