Answer:
39
Step-by-step explanation:
There are 8 pints in a gallon, so 5 1/2 gallons is (5.5)(8 pints) = 44 pints.
If 5 remain, then 44-5 = 39 were spilled.
39 pints of water spilled from the bucket.
Of the 8 blocks, 5 are shaded.
This means 5/8 are shaded.
this is 0.5 plus 1/8 which is 0.125 = 0.625
This equates to 62.5% as well
Hope this helps, comment with questions :)
M’(2, 3)
Work:
x: -1 + 3 = 2
y: 5 - 2 = 3
Y=-3x^2+18x-25 move constant to other side
y+25=-3x^2+18x make leading coefficient 1 by dividing every thing by -3
(y+25)/-3=x^2-6x halve the linear coefficient, square it, add it to both sides...ie (-6/2)^2=9, so add 9 to both sides
(y+25-27)/-3=x^2-6x+9 now the right side is a perfect square
(y-2)/-3=(x-3)^2 now multiply both sides by -3
y-2=-3(x-3)^2 add 2 to both sides
y=-3(x-3)^2+2
f(x)=-3(x-3)^2+2
So the vertex here is an absolute maximum for the parabola as anything squared and then multiplied by a negative will decrease the value of y.
So the absolute maximum for f(x) occurs at the vertex (3, 2)
Answer:
Just add the first 2 masses together and subtract with the 3rd mass.
