Hello!
Answer:
f(x) = (x + 4)² - 4
Step-by-step explanation:
Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:
f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²
Simplify:
f(x) = (x² + 8x + 16) + 12 - 16
Subtract to find the 'k' value:
f(x) = (x + 4)² - 4. This is the equation in vertex form.
The definition of log is by the equivalence:

means

where b>0 and b ≠ 1.
a.

<span> is not a logarithmic function because the base is greater than 0.
False: By definition, the base of a log MUST be greater than zero but cannot equal one.
b. </span>

<span> is not a logarithmic function because the base is a square root.
False: sqrt(3) is a positive number not equal to one, so it is a legitimate base.
c. </span>

<span>is not a logarithmic function because the base is equal to 1.
True. Log cannot have a base of one, by definition.
Recall the definition of log where b^y=x. If b=1, b^y will also equal 1, so cannot equal x which has a domain of 0<x< ∞
d. </span>

is not a logarithmic function because the base is a fraction.
False, because 3/4 is a legitimate base, just like any other positive number other than one.
Answer:
233445.54 gallons
Step-by-step explanation:
Given data
Diameter= 15m
Radius= 7.5m
Height= 5m
Let us first find the volume
the volume of a cylinder is given as
V= πr^2h
substitute
V= 3.142*7.5^2*5
V= 3.142*56.25*5
V=883.6875 m^3
Hence the volume in gallons is
233445.54 gallons (from conversion tables)
Answer:
11
Step-by-step explanation:
2.99 x 11 = 33.89
Answer:
1-2x>13
Step-by-step explanation:
1-2x>13
-2x>13-1
-2x>12
x>-12/2
x<-6