Answer:
A parabola has the form:
y = a*x^2 + b*x + c
Where a is the leading coefficient.
If a is positive, the parabola opens up.
If a is negative, the parabola opens down.
a is the factor that multiplies the part that grows the fastest in the equation, thus, if a is a larger value (in absolute value) then the parabola will grow faster (then the parabola will be narrow)
if a is smaller (again, in absolute value) the parabola will grow slower, then the parabola will be wider.
With this, we can conclude that:
a = -4
is the largest value of a in absolute value.
Then this corresponds to the thinner parabola (the one at the left)
a = -1
Is the middle value of a, then this corresponds to the graph of the middle
a = -0.25
Is the smallest absolute value of a, then this one corresponds to the widest graph (the first one at the left)
Answer:
V = 3,367.6 cm³
Step-by-step explanation:
Diameter of sphere (D) = 18.6 cm
radius (r) = ½(18.6) = 9.3
π = 3.14
Formula for volume of a sphere = ⁴/3πr³
Plug in the values
V = ⁴/3 × 3.14 × 9.3³
V = ⁴/3 × 3.14 × 804.357
V = (4*3.14*804.357)/3
V = 3,367.57463
V = 3,367.6 cm³ (nearest tenth)
Answer:
f(x)/g(x) = 4x^2+6x-3 remainder -12
or
f(x)/g(x) = (4x^2+6x-3)/(2x+1) + (-12)/(2x+1)
or
((4x²+6x-3)-12)/(2x+1)
Step-by-step explanation:
f(x)= 8x³ + 16x² -15
g(x) = 2x+1.
Using long division,
f(x)/g(x) = 4x^2+6x-3 remainder -12
Answer:
See answers below
Step-by-step explanation:
Problem 1)
Conditional: If two angles are supplementary, then their sum is 180 degrees
Truth value: True
Converse: If the sum of two angles is 180 degrees then the two angles are supplementary.
Truth value: True
Problem 2)
Conditional: If 
then 
Truth value: False
Converse: If then
Truth value: True
For the False, notice that having , doesn't necessarily imply that , since 
would also render 36 when squared.
