To get the vertex of the parabola we proceed as follows;
y=-7(x-4)^2-5
The above can be written as:
y=-7x^2+56x-117
The values of a,b and c are:
a=-7, b=56 and c=-117
x=-b/(2a)
x=-56/(-7*2)=4
but;
y=-7x^2+56x-117
y=-7(4)^2+56(4)-117
y=-5
Thus;
x=4 and y=-5
The vertex will be at point (4,-5)
The price of the stock is below its starting price because the price will decrease before it increases
The correct statement about the data collected by Ms. Pearson is that there is no association between a student's absences and the final average grades.
<h3>When do variables have a linear relationship?</h3>
The equation that represents a linear relationship is: a + bx
Where x represents the rate of increase. Thus, for linear equations, the functiion increases by a constant term.
Looking at the table, the average final grade does not increase by a constant term.
To learn more about linear functions, please check: brainly.com/question/26434260
-15 - (-3) + 6
-15 - (-3) = -15 + 3 = 3 - 15 = - 12
-12 + 6 = 6 - 12 = -6
Your answer is -6
Definition of a rational number:
A rational number is a number that can be written as fraction of integers.
19/10 is a fraction.
19 and 10 are integers.
19/10 follows exactly the definition of a rational number, so it is rational.
