<span>What is the y-intercept of the plane whose equation is 4x + 5y + z = 20?
(0, 4, 0)
Which equation has intercepts at X(1, 0, 0), Y(0, 1, 0), and Z(0, 0, 2)?
2x + 2y + z = 2
Which equation is equivalent to x + 3y + z = 3?
4x + 12y + 4z = 12
Which of the following points lies in the plane 3x + 2y + 4z = 12?
(4, 3,2)
Hope these answer the questions. Have a nice day.</span>
Answer: The y-value of the vertex is
Step-by-step explanation: we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
In this problem we have
-----> this a vertical parabola open upward
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
The vertex is the point
The y-value of the vertex is
Answer:
2.0
Step-by-step explanation:
Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die
The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)
The first moment (AKA the average is..)
The second moment is..
1.68 mm per year for 1.5 years could be rewritten as
(2.00-0.32) mm per year for 1.5 yrs.
Multiply: (1.5 yrs)(2.00-0.32)(mm/yr) = 3 mm + 0.48 mm = 3.48 mm
This approach makes use of the distributive property of multiplication.
