Considering the directrix and vertex given in the graph, the equation of the parabola is:
B. 
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
(y - k)² = 4p(x - h).
In which the directrix is the line x = h - p.
Looking at the graph, we have that:
- The vertex is (-2,-2), hence h = k = -2.
- The directrix is x = -1, hence -1 = -2 - p -> p = -1.
Thus the equation is:
(y + 2)² = -4(x + 2).
Writing x as a function of y:
B.
More can be learned about the equation of a parabola at brainly.com/question/17987697
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The x-intercept is the x-coordinate of a point where a graph intersects the x-axis and the y-intercept is the y-coordinate of a point where a graph intersects the y-axis. For example, (-4,0) -4 is the x-intercept and (0,6) 6 is the y-intercept
-2 sqrt (20) -sqrt (125)
-2 sqrt (4 * 5) - sqrt (5 * 25)
-2sqrt (4) * sqrt (5) - sqrt (5) sqt (25)
-2 * 2 * sqrt (5) - 5sqrt (5)
-4sqrt (5) -5sqrt (5)
-9sqrt (5)
Answer:
We conclude that the daily average revenue was actually $675.
Step-by-step explanation:
We are given that the current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.
A sample of 30 days reveals a daily average revenue of $625.
<u><em>Let </em></u>
<u><em> = daily average revenue.</em></u>
So, Null Hypothesis, 
: = $675 {means that the daily average revenue was $675}
Alternate Hypothesis, 
: 
$675 {means that the daily average revenue was different from $675}
The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;
T.S. = 
~ N(0,1)
where, 
= sample daily average revenue = $625
= population standard deviation = $75
n = sample of days = 30
Since, we are given that we have decided not to reject the null hypothesis which leads us to the conclusion that the daily average revenue was actually $675.
Answer:
A. 130 degrees
B. 50 degrees
Step-by-step explanation:
A. It's a straight line so the angle is 180. U subtract 50 from. 180 and u get 130
B. It 50 because it's vertically opposite angle to angle AEC
