Answer:
Step-by-step explanation:
The rate of change of the function f(x) from point 
to point 
can be calculated using formula
Given
From the graph of the function
So, the rate of change is
Answer:
(2/9)cis(30°)
Step-by-step explanation:
We can express the two numbers in magnitude∠angle form, then find their ratio.
|z1| = 3√((-1)² +(√3)²) = 3√4 = 6
∠z1 = arctan((3√3)/(-3)) = -arctan(√3) = 120°
z2 = 27∠90°
So, the ratio is ...
z1/z2 = (6∠120°)/(27∠90°) = (6/27)∠(120°-90°)
z1/z2 = (2/9)∠30°
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x + 9 ← is in slope- intercept form
with slope m = - 4
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= 
, hence
y = x + c ← is the partial equation of the perpendicular line
To find c substitute (4, 5) into the partial equation
5 = 1 + c ⇒ c = 5 - 1 = 4
y = x + 4 ← equation of perpendicular line → C
Answer:
Yes
Step-by-step explanation:
Graphs are functions when there is only one output for every input. In other words, for every "x" value, there must be only "y" value. This graph depicts a function because it abides by this rule. To be exact, this is an exponential function with the formula: f(x) = (x + 2)².
Answer:
1
Step-by-step explanation:
using the rule of exponents
= 
, then
× 
× 
× 
× 
× 
[ × = 1 , × = 1 , × = 1 ]
= 1 × 1 × 1
= 1
