Answer:
y = 1
x = -2
Step-by-step explanation:
During the substitution method, you are substituting one function into another. Because both functions are set equal to "x", you can make the functions equal each other. This allows you to 'get rid' of the "x" variable and simplify to find the value of "y".
5A) x = -2y
5B) x = 2 - 4y
-2y = 2 - 4y <----- Set both equations equal
2y = 2 <----- Add 4y to both sides
y = 1 <----- Divide both sides by 2
Now that you know what "y" equals, you can plug that value into the "y" variable into one of the equations. This will allow you to then simplify and find the answer for "x".
x = -2y <----- Equation 5A
x = -2(1) <----- Plug 1 into "y"
x = -2 <----- Multiply -2 and 1
Answer:
6%
Step-by-step explanation:
Interest = Principal × Rate × Time/100
$3780 = $7000(9)(rate)/100
63000rate = 378000
rate= 378000/63000
rate = 6% per annum (Answer)
Answer:
8:39
Step-by-step explanation:
because when simplified, all the rest are 1:5
Answer:
Period = pi
Angular frequency = 2
Amplitude = 5
Midline is the line y = 3
Step-by-step explanation:
A sinusoidal wave is written in the general form as:
f(x) = A*cos(w*x) + C
Where:
- A is the amplitude.
- w is the angular frequency, this is equal to 2*pi/T
where T is the period.
- y = C is the midline.
Then in the equation:
f(x) = 5*cos(2*x) + 3
- 5 is the amplitude.
- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)
- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:
2 = 2*pi/T
T = 2*pi/2 = pi
pi is the period.
- y = 3 is the midline.
Lets use the distributive property to re-write this:-
18 + 36
2(9 + 18)
To make sure of this, lets solve
2*9 = 18
2*18 = 36
36 + 18 = 54
54 = 54 PERFECT
Answer: 2(9 + 18)
