Answer:
151
Step-by-step explanation:
Considering the parabolic equation, the equation for the directrix is given by x = 4.9375.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a horizontal quadratic function, of vertex (h,k), is given by:
(y - k)^2 = 4p(x - h)
The directrix is given by:
x = h - p.
In this problem, the equation is given by:
(y - 2)² = 0.25(x - 5).
Hence h = 5, p = 0.25/4 = 0.0625, hence the directrix is:
x = h - p = 5 - 0.0625 = 4.9375.
More can be learned about parabolic equations at brainly.com/question/24737967
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Answer:
see attached
Step-by-step explanation:
The leading coefficient of this cubic (odd-degree) function is negative, so the overall shape of the curve will be downward-sloping (\). The zeros of the factors are at x=-6 and x=0 (multiplicity 2), so we know the first crossing of the x-axis will occur at x=-6. The graph will touch, but not cross, the x-axis at x=0 and continue descending from there.
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The local minimum will be located 2/3 of the way from the "touch" point to the other x-intercept, so is at x=-4. The value of the function there is ...
y = -(-4)²(-4+6) = -32
The graph is symmetrical about the inflection point halfway between the local extremes, which point is (-2, -16). Then another point on the curve will be 6 units to the right of the local minimum, at (2, -32).
To create your histogram you could use the following intervals and frequencies.
5-9 (4)
10-14 (3)
15-19 (5)
20-24 (3)
You would create a frequency on your y-axis that goes to 5. Make sure the bars are touching each other because the data is consecutive (in order).
Label your x-axis #of customers.
Label y-axis frequency
Title: How many customers are shopping at lunch time?