222 student tickets
111 adult tickets
That checks out...
2x + x = 333
3x=333
x=111
Standard form is ax+by=c
normally a is positive and a and b are integres
y=mx+b
m=slope
b=yint
y=1/2x+3
minus 1/2 x both sides
-1/2x+y=3
times -2
x-2y=-6
To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.
f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
f'(x)=6(x^2+2x-3)
f'(x)=6(x+3)(x-1)
So the zeroes of f'(x) are at x=1, x=-3
Because there is no multiplicity, when the function passes a zero, he y value is changing signs.
Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:
Increasing: (negative infinite, -3), (1, infinite)
Decreasing:(-3,1)
Answer:
one quarter of the total number of students will be those who failed their exam.
Step-by-step explanation:
Three - fourths = those who passed the exam
one quarter will be those who failed their exam
From the total number of the students.
Let's make an example
40 students who take the exam.
3 over 4 students from the total number of 40 take the exam and the result is passed and it mean 30 students passed in the exam.
1 over 4 students take the exam and the result is failed and it mean 10 students failed in the exam.
4 minus 3 over 4 will get the answer 1 over 4.
Use 1 over 4 to multiple with the total number of the students and that how you will get the answer for those who failed in their exam.
