Answer:
The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)
<u>Solution:</u>
Given, equation is 
We have to find the vertex of the given equation.
When we observe the equation, it is a parabolic equation,
We know that, general form of a parabolic equation is
Where, h and k are x, y co ordinates of the vertex of the parabola.

By comparing the above equation with general form of the parabola, we can conclude that,
a = -6, h = 1 and k = 9
Hence, the vertex of the parabola is (1, 9).
45 feet.
Absolute value is the distance of a number from 0. Say 0 is the surface of the ocean, then the diver is 45 feet away from it. Either from above or below, they are the same distance away.
Add one to the other side and y=1/2
answer:
$14
step-by-step explanation:
the formula for simple interest is-
i=prt
meaning interest=principal (the starting amount of money) * rate * time
=200*0.01*7
(we have to turn 1% into a decimal so 1/100=0.01)
=14
i=14
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Answer:
224
Step-by-step explanation:
We will need the following rules for derivative:
Sum rule.
Constant multiple rule.
Power rule.
Slope of y=x is 1.


by sum rule.
by constant multiple rule.
by power rule.

Now we need to find the derivative function evaluated at x=9.



In case you wanted to use the formal definition of derivative:

Or the formal definition evaluated at x=a:

Let's use that a=9.

We need to find f(9+h) and f(9):


(used foil or the formula (x+a)(x+a)=x^2+2ax+a^2)

Combine like terms:





Ok now back to our definition:


Simplify by doing 1044-1044:

Each term has a factor of h so divide top and bottom by h:




