The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)
If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
In order to match each of the pairs you need to divide the numerator by the denominator to make it into a decimal.
Below are the pairs:
21/25 = 84%
13/20 = 65%
2/5 = 40%
3/4 = 75%
3/5 = 60%
Answer:
cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Cone A to Cone B.
Step-by-step explanation:
Compute the necessary values/derivatives of 
at 
:
Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) at by
###
Another way of doing this would be to solve for the coefficients 
in
by expanding the right hand side and matching up terms with the same power of 
.
