Answer:
The range of numbers that will win the game for your player is
.
Step-by-step explanation:
We are given that Erik and Nita are playing a numbers game. If the difference between their two numbers is less than 10 then Erik wins. If the difference between their two numbers is greater than 10 then Nita wins.
The numbers to choose from are zero to twenty.
Our player's name is Erik and we have to find the range of numbers that will win the game for Erik.
Given that Nita chooses 7.
Since we know that if the difference between the numbers chosen by Erik and Nita is less than 10 then Erik wins, so the inequality represented taking into account that Nita chooses 7 is given by;
, where x = number chosen by Erik, i.e. 
Further solving the above equation we get;

But keeping in mind the fact that Erik and Nita can choose numbers between 0 and 20 (inclusive) only.
SO, the required range of numbers that can win Erik the game is given by =
.
Answer:
The end behaviour of all the functions is same ie they all tend to zero.
Step-by-step explanation:
In every option the function f(x)is a linear function which tends to infinity at the end(as x tends to infinity).Now the function g(x)in every option is just the reciprocal of f(x).As we all know
∞
then

Answer:
Option B. 3/4 > 2/3 is the correct answer.
Step-by-step explanation:
Lets look at the options one by one
A. 1/2 < 1/3
This inequality converts into 0.5<0.33 which is false.
B. 3/4 > 2/3
This simplifies to 0.75>0.666 which is true.
C. -1/4 < - 2/3
This converts to -0.25<-0.666 which makes the inequality false.
D. -1 > 3/4
This converts to -1>0.75 which makes the inequality false.
Hence,
Option B. 3/4 > 2/3 is the correct answer.
Answer:
3x - 4 = -12
Step-by-step explanation: