f(x) has vertex = (- 1, - 5 ) and is a minimum
g(x) has vertex = (2, 3 ) and is a maximum
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = (x + 1)² - 5 is in this form with vertex = (- 1, - 5 ) and minimum
to determine if maximum/ minimum
• if a > 0 then minimum
• if a < 0 then maximum
g(x) = - (x - 2)² + 3 is also in vertex form with a < 0
vertex = (2, 3 ) and is a maximum
Try to change them to percent
I cant see your work very clearly so I'll work it out below:-
f(x + Δx) = (x + Δx)^2 - 2(x + Δx) - 3
= x^2 + 2x(Δx) + (Δx)^2 - 2x - 2(Δx) - 3
= x^2 - 2x + (Δx)^2 + 2x(Δx) - 2(Δx) - 3
Answer:
f(x)=56
Step-by-step explanation:
2(24)+8=56
Answer: Volume = 796.6 cm³
Step-by-step explanation:
We would apply the formula for determining the volume of a cone which is expressed as
Volume = 1/3 × πr²h
Where
r represents the radius of the cone.
h represents the vertical height of the cone.
π is a constant whose value is 3.14
From the information given,
Diameter of cone = 18.6 cm
Radius = diameter/2
Radius = 18.6/2 = 9.3 cm
Height = 8.8cm
Therefore,
Volume = 1/3 × 3.14 × 9.3² × 8.8
Volume = 1/3 × 3.14 × 86.49 × 8.8
Volume = 796.6 cm³
