Answer:
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Step-by-step explanation:
Answer:
She has 27 students now.
Step-by-step explanation:
Given :
The teacher has 30 students
10% students left.
To find : how much students does she have now?
Solution :
Since we are given that teacher has 30 students .
And 10% of students left
⇒ 10% of 30
⇒
⇒
⇒
Thus, 3 students left .
She had 30 students . three students left.
So, now she have 30 - 3 = 27 students .
Hence she has 27 students now.
Answer:
d. (g*f)(-9)=-1
Step-by-step explanation:
In this problem, we have two functions:

and

The notation:
(f*g)(x) represents the composite function of f and g; this can be calculated by using the output of g(x) as input for f(x), in other words:

Simiarly, the notation (g*f)(x) can be calculated by using the output of f(x) as input for g(x), mathematically:

Using the definitions of f(x) and g(x), we can derive an expression for the two composite functions here:

And

Now we can analyze the given statements:
a. (f*g)(2)=2 --> FALSE, because 
b. (g*f)(2)=0 --> FALSE, because 
c.(f*g)(9)=1 --> FALSE, because 
d. (g*f)(-9)=-1 --> TRUE, because 
Answer:
She rounded down instead of up.
Step-by-step explanation:
When you are rounding, if the number is above 5 you round up and when the number is below 5 you round down.