Can some help there is a big prize
1 answer:
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Answer:
Option A.
Step-by-step explanation:
<u><em>The complete question is</em></u>
The function g is given in three equivalent forms.
Which form most quickly reveals the vertex?
A)g(x)= 1/2(x-8)^2-8
B)g(x)= 1/2(x-12)(x-4)
C)g(x)= 1/2x^2-8x+24
we know that
The equation of a quadratic function in vertex form is equal to
where
a is the leading coefficient
(h,k) is the vertex of the function
In this problem, the option A is the equation of the function in vertex form
we have
where the vertex is the point (8,-8)
therefore
Option A
Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x -----> the number of minutes
y ----> the water level in centimeters
In this problem we have a proportional relationship between the variables x and y
Find the value of k
For x=6 min, y=11 cm
-----> the slope is equal to the constant of proportionality k
The linear equation is
so
For (12,y)
we have
x=12 min
substitute in the equation and solve for y