Given:
1st letter : 2.9 ounces
2nd letter: 4.1 ounces
f(1) = 0.42 + 0.20(x-1)
f(1) = 0.42 + 0.20(2.9-1)
f(1) = 0.42 + 0.20(1.9)
f(1) = 0.42 + 0.38
f(1) = 0.80
f(2) = 0.42 + 0.20(4.1-1)
f(2) = 0.42 + 0.20(3.1)
f(2) = 0.42 + 0.62
f(2) = 1.04
0.80 + 1.04 = 1.84 last choice
Answer:
y = 4 sin(½ x) − 3
Step-by-step explanation:
The function is either sine or cosine:
y = A sin(2π/T x) + C
y = A cos(2π/T x) + C
where A is the amplitude, T is the period, and C is the midline.
The midline is the average of the min and max:
C = (1 + -7) / 2
C = -3
The amplitude is half the difference between the min and max:
A = (1 − -7) / 2
A = 4
The maximum is at x = π, and the minimum is at x = 3π. The difference, 2π, is half the period. So T = 4π.
Plugging in, the options are:
y = 4 sin(½ x) − 3
y = 4 cos(½ x) − 3
Since the maximum is at x = π, this must be a sine wave.
y = 4 sin(½ x) − 3
So find factors of 5
1 and 5
both factors must be both negative or both positive to be positive 5
adds to negative 4
to do that, they both must be negative
-5 times -1=5
-5+-1=-6
doesn't work
the only way it would work is if it is what multipies to -5 and adds to -4 which then the numbers would be -5 and 1
y = x² - 4x + 8
4x + y = 12
4x + y = 12
4x + (x² - 4x + 8) = 12
x² + 4x - 4x + 8 = 12
x² + 8 = 12
- 8 - 8
x² = 4
x = ±2
4x + y = 12
4(2) + y = 12
8 + y = 12
- 8 - 8
y = 4
4x + y = 12
4(-2) + y = 12
-8 + y = 12
+ 8 + 8
y = 20
(x, y) = (2, 4) and (-2, 20)
1, 2, 5, 10, 25, 50
You make a factor rainbow....
1*50=50
2*25=50
5*10=50
