Step-by-step explanation:
Hope this helps you ☺️☺️☺️
ANSWER

EXPLANATION
To find a positive angle that is coterminal with

We add multiples of 2π until we get a positive angle that is less than one revolution,
We add to obtain,

This simplifies to,

This is the first positive angle that is coterminal with

and is less than one revolution.
Nice, already in vertex form
y=a(x-h)^2+k
(h,k) is vertex
therfor since (-3,6) is vertex
we are looking for something like
y=a(x-(-3))^2+6 simplified to
y=a(x+3)^2+6
A is ansre
Answer:
65 ride tickets would cost $39
Step-by-step explanation:
so
12 ÷ 20 = 0.6 <em>(I checked it by multiplying 0.6 by 20 to get 12)</em>
0.6 × 60 = 39
65 tickets would cost $35
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.