Answer:
answer below
Step-by-step explanation:
when you double the dimension of a rectangular prism you create a very similar one with a scale factor of 2. the surface area will increase and the scale factor will be (2^2 = 4) and volume will be (2^3=8) for the cubes of the scale
Step-by-step explanation:
I'm not a 100 % sure but 350.00 x 0.06 =21 so 350 +21 = 371.00
Answer:
2/9 times
Step-by-step explanation:
This is because 2/5 divided by 9/10 = 10/45 which if we simplify it we get 2/9 so that's why 2/9 is the right answer.
Answer:
Original Value: 30,000
After Year 1: 22,500
After Year 2: 15,000
After Year 3: 7,500
After Year 4: 0
Answer: A (The value drops $7,500 every year).
Step-by-step explanation:
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)