Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)
Answer:
6-2
Step-by-step explanation:
so first you know you will have to divide it by both numbers you have and whatever number u have thats your answer
Answer:
50%
Step-by-step explanation:
you divide 81.90 by 163.80 and get .5 so then you move the decimal over 2 times to get a percent which is 50%
Answer:
Carna has a lower ratio of paper clips to elastic bands
0.2
Step-by-step explanation:
step one
given data
In Carna's desk drawer
number of paper clips 16
number of elastic band= 20
ratio of paper clips to elastic bands
16:20= 1/5 =0.2
Noelia's office supply tray
number of paper clips 10
number of elastic band= 13
ratio of paper clips to elastic bands
10:13= 0.76
Carna has a lower ratio of paper clips to elastic bands
0.2
The instantaneous rate of change is simply equivalent to
the first derivative of the equation or function. We are given the equation of
Surface Area (A) with respect to side (x):
A = 6 x^2
Taking the first derivative of the equation:
dA = 12 x dx
dA / dx = 12 x
Now the term dA / dx is the instantaneous rate of change
in the surface area with respect to the side length. To get the rate of change
when the side x = a, simply plug this in into the equation:
rate of change = dA / dx = 12 x
so when x = a:
<span>rate of change = 12 a</span>
