Equation of a parabola with vertex at (2, -1) is
y = a(x - 2)^2 - 1
Using the given point: -3 = a(4 - 2)^2 - 1
-2 = a(2)^2
4a = -2
a = -1/2
Therefore, required equation is
y = -1/2(x - 2)^2 - 1
y = -1/2(x^2 - 4x + 4) - 1
y = -1/2x^2 + 2x - 2 - 1
y = -1/2x^2 + 2x - 3
-- Measure the length of the box.
-- Measure the width of the box.
-- Measure the height of the box.
-- Make sure all 3 measurements are in the same units.
-- Multiply (length) x (width).
-- Take that answer and multiply it by (height).
-- You now have the volume of the box.
Answer to question
3-x/2=6
Subtract 3 from both sides
-x/2=3
Multiply 3 by -2
Final Answer: x=-6
Work check
3-x/2=6
Substitute -6 for x since you solved for x in the last equation
3-(-6)/2
Convert 3-(-6/2) to 3+6/2
3+6/2
Divide 6 by 2
3+3
Add
Final Answer: 6 (This 6 is the same 6 we used to solve for x in the first equation).
Answer:
yes
Step-by-step explanation:
