f(x) = (x - 
)² - 
the equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
= - 
f(x) = x² - 11x + 9 is in standard form
with a = 1, b = - 11 and c = 9
= - 
=
substitute this value into the equation for y- coordinate
y = ()² - 11() + 9
= 
- 
+ 
= -
f(x) = (x - )² - ← in vertex form
Answer:
The answer is 390 × pi.
Step-by-step explanation:
Big cone:
V = 1/3 x pi x r^2 x h
= 1/3 x 3.14 x 9^2 x 15
= 1272.3 cubic inches
Small cone:
V = 1/3 x pi x r^2 x h
= 1/3 x 3.14 x 3^2 x 5
= 47.1 cubic inches
1272.3 - 47.1 = 1225.2 cubic inches
1272/3.14 ≈ 390
The answer is 390 × pi.
We have two equations d=55t and d=20g
The left sides of this equations are the same than the right sides are equal too
a) 55t=20g
b) g=(55/20)t
c) t=6h => g=(55/20) *6 = 165/10=16.5 gallons
d= 55t= 55*6=330 miles or d=20g=20*16.5=330 miles
Good luck!!!
Answer: B is 0 A is 1 D 2 E 3
Step-by-step explanation:
2/3 because 1/3 is half of 2/3
