Answer:
The number of students who liked the book was 64.
Step-by-step explanation:
After reading a book for English class, 100 students were asked whether or not they enjoyed it.
Now, given that nine twenty-fifths of the class did not like the book.
So, 
of the whole class did not like the book.
Then, the fraction of the class who did like the book was 
.
Therefore, the number of students who liked the book was 
. (Answer)
Answer: See explanation.
Step-by-step explanation:
Let's assume that you have a System of two equations. You can solve this System using the Substitution Method.
In order to use that method to solve the System of equations, you can follow the steps shown below:
Step 1: You must choose one of the equations of the system and solve for one of the variables. Let's call this new equation "Equation A"
Step 2: Then you must substitute"Equation A" into the other equation.
Step 3: Now you must solve for the other variable in order to find its value.
Step 4: Finally, you need to substitute the value of the variable obtained in the previous step, into the "Equation A" and then evaluate in order to find the value of the other varibale.
(Note: You can also substitute the value of the variable calculated in Step 3 into any original equation and solve for the other variable to find its value).
1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
x = 0 →f(x) =2 (intercept y-axis)
x = -2→f(x) = 0 (intercept x-axis)
x = -3→f(x) = 1 (don't forget this is in absolute numbers)
x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph
1b) Translation: x to shift (-3) units and y remains the same, then
f(x-3) = I x - 3 + 2 I = I x-1 I
the V graph will shift one unit to the right, keeping the same y. Proof:
f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1
F(2) = 24
f(5) = 250
range is {24, 250}
