Answer is provided in the image attached.
Lisa had $7.33. She then bought a pen for $1.14. How much money does she have left?
2 answers:
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Answer:
The number of parents who volunteered to bring refreshments is 16.
Step-by-step explanation:
The information provided is:
N = 84
n (S) = 35
n (S ∩ R) = 11
n (R) = 1.5 × n (S' ∪ R')
Compute the value of n (S ∪ R) as follows:
Now compute the value of n (R) as follows:
Thus, the number of parents who volunteered to bring refreshments is 16.
we have
This is a vertical parabola open upward
The axis of symmetry is equal to the x-coordinate of the vertex
The vertex is the point (h,k)
the equation of the axis of symmetry is
In this problem
so the x-coordinate of the vertex is
<u>Convert the quadratic equation in vertex form</u>
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
remember that
so
substitute in the equation
therefore
<u>the answer is</u>