Answer:
A = 7 and C = 2
Step-by-step explanation:
the constant C represents the average value of the wave. To find its value, we need to calculate the average between the y-coordinates of the highest and the lowest point.
The highest point has y = 9, and the lowest point has y = -5, so we have:
C = (9 - 5)/2 = 4/2 = 2
The value of A represents the increase in the amplitude of the wave.
For A = 1, the amplitude is 2 (lowest point = average - 1, highest point = average + 1)
So, in this case, the amplitude is the difference in the y-coordinates of the highest and the lowest point, and A is equal half the amplitude:
A = (9 - (-5)) / 2 = (9 + 5)/2 = 14/2 = 7
Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
Answer: (2x-1) (2x-3)
Step-by-step explanation:
(13•4) + (3•8) +3 = 79
The total cost is $79
Answer:
Step-by-step explanation:
5×4000
=20,000 answer