Answer:
The graphs of the two function will not intersect.
Step-by-step explanation:
We are given a quadratic function f(x).
Also g(x) is given by a set of values as:
x g(x)
1 -1
2 0
3 1
As g(x) is a linear function hence we find out the equation of g(x) by the slope intercept form of a line: y=mx+c
let g(x)=y
when x=1 , g(x)=-1
-1=m+c----(1)
when x=2 , g(x)=0
0=2m+c------(2)
Hence, on solving (1) and (2) by method of elimination we get:
m=1 and c=-2
Hence, the equation of g(x) is:
g(x)=x-2
So clearly from the graph we could see that the graph of the two functions will never intersect.
Answer:
2⋅18−18 is less than 2⋅[28−3⋅(2+4)]
Step-by-step explanation:
Answer: 1/3
Explanation:
1/12 of the squad are suspended:
1/12 x 24 = 24/12 = 2
So 2 player are suspended
24 - 2 = 22 player
And some are injured leaving 14 left to play:
22 - 14 = 8 players injured
So 8/24 is the fraction of injured player.
But 8/24 = 1/3 so we can say 1/3 of the whole squad are injured.
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The amount charge per year is 
The number of members it will have at this amount is 
The amount amount increase that will lead to the loss of a single member is 
Generally the total amount the club would obtain from its members is mathematically represented as
Now let x denote the number of member lost
Hence
=> 
=> 
Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero
=> 
So from we have
So the amount the club should charge is
Answer:
$3,919.77
Step-by-step explanation:
I've taken this quiz already. It is a: $3,919.77
