Answer:
Your answer is on the picture
Step-by-step explanation:
Solution
To determine the vertical translation
We need to determine the amplitude
The amplitude is
Since the minimum is 4
Hence, the Vertical shift is 3+4 = 7
Part B
Given f(x) = 4 sin(θ - 45) + 8
The vertical translation is 8
Well if you make 950 dollars every two weeks, in a month you will have 1,900. Then take 12% of 1,900, and you will have 228 dollars to spend a month on groceries.
Assign variables to you unknowns.
c = $ cars
t = $ trucks
6c + 3t = 4800
8c + t = 4600
use substitution or elimination to solve the system of equations.
using elimination.. multiply second equation by -3 and add to the other to combine equations into one.
6c + 3t = 4800
-3(8c + t = 4600)
---------------------------
-18c + 0 = -9000
c = 9000/18
c = 500 $
use this in one of the equations to find the cost of a truck.
8(500) + t = 4600
4000 + t = 4600
t = 4600 - 4000
t = 600 $
question asks
2(500) + 3(600) =
1000 + 1800 = 2800 $
Answer:x=90° y=58° z=32°
Step-by-step explanation:
x=90
y=180-(90+32) sum of angles in a triangle is 180
y=58
y+90+z=180 they are supplementary
58+90+z=180
148+z=180
z=180-148
z=32