Answer:
5.5 gallons
Step-by-step explanation:
1) y-intercept => x = 0, => y = f(0) = 0 - 0 + 0 - 36 = -36
2) x-intercept => y = 0 => factor the function (start by dividing by x -2)
f(x) = (x-2)(x-3)(x-6) =0 => x =2, x = 3, x = 6 (these are the x-intercepts)
3) critical points:
between x = 2 and x = 3, there is a local maximum
between x =3 and x = 6 there is a local minimum
3) Shape.
The function comes growing from - infinity.
In the third quadrant the function is negative (it does not pass throuhg the second quadrant)
It enters to the fourth quadrant intercepting the y-axis at y = -36. It continues growing and intercepts the x-axis at x = 2.
It continues increasing until a maximum local positive value, starts to decrease, intercepts the x-axis at x = 3, continues decreasing, becomes negative, gets a local minimum in the fourth quadrant, starts to increase, intercepts the x-axis at x = 6, becomes positive, and continues growing.
First we will find the x coordinate.
x1+x2 / 2 = the x coordinate of the midpoint.
-9 + x2 / 2 = 10
x2/2 -4.5 = 10
x2/2 = 14.5
x2 = 29
Now the y coordinate:
y1+y2 /2 = y coordinate of the midpoint
7 + y2 / 2 = -3
y2/2 + 3.5 = -3
y2/2 = -6.5
y2 = -13
So the other endpoint is (29,-13)
I hope i am right :)
Ok so first u have to devide the 51 into 4. So 51 divided by 4 is 12.75. Then it is 75% of it so 75% is 3/4 so you will have to multiply 12.75 by 3. That would equal 38.25. YOUR ANSWER IS 38.25
Answer:
Step-by-step explanation:
p(even) = 3/6
p number 3 = 1/6
p (even then number 3) = 3/6 * 1/6 = 3/36