Two-fifths or
is equivalent to the following.
<span>
0.4</span>
40%2 pizzas being shared among 5 friends is a real-world example i<span>
n which each form might be used.I hope this helps!</span>
If you would like to know what is your rate of pay, you can calculate this using the following steps:
$82.50 ... 7.5 hours
$x = ? ... 1 hour
82.50 * 1 = 7.5 * x
82.50 = 7.5 * x /7.5
x = 82.50 / 7.5
x = $11
The correct result would be $11 per hour.
To find the amplitude and period you need to be familiar with the following equation. Also you need to know that the standard cos has a period of
and the midline is a line that runs between the max and min of the y-values of the function.
Equations:f(x) = A cos(Bx +C) + D
f(x) = -4 cos(2x -n) + 3
A = amplitude = |-4| = 4
B = 2
C = phase shift = n = 0
D = vertical shift = midline = 3
Amplitude = 4
Find the period:
Find the midline:We know that the amplitude is 4 so we have a range from -4 to 4. The standard y = cos(x) has its midline at 0 so y = 0. This is also true for y = -4 cos(x). In your equation though, you have a vertical shift of +3 so this changes our midline. With an amplitude of 4, which gives us a range from -4 to 4(our y-values), the shift moves this up by 3 so that means we will have new
y-values and a range of -1 to 7. Now we need to find the midline(
the middle of our y-values) of our new range. We can find this by using the following formula
Midline:y = 3
Note, in the following equations that D = 3 = midliney = A (Bx+C) + D
y = -4 (2x + n) + 3
Also, the picture that is attached is what your equation looks like when graphed.
