Answer:
The function of the graph is y = 3 cos (4x) ⇒ answer A
Step-by-step explanation:
- If the equation is y = A cos (B x)
* A is the amplitude
- The amplitude is the height from highest to lowest points and
divide the answer by 2
* The period is 2π/B
- The period is the distance from one peak to the next peak
* Lets look to the graph
- The maximum value is 3 and the minimum value is -3
∵ The height from the maximum point to the minimum point is
3 - (-3) = 3 + 3 = 6
∴ The amplitude is 6/2 = 3
∵ A is the amplitude
∴ A = 3
- The distance between two consecutive peaks is π/2
∵ The period is the distance from one peak to the next peak
∴ The period = π/2
∵ The period = 2π/B
∴ 2π/B = π/2 ⇒ divide both sides by π
∴ 2/B = 1/2 ⇒ by using cross multiplication
∴ B = 4
- Lets write the form of the function
∵ y = A cos (Bx)
∵ A = 3 and B = 4
∴ y = 3 cos (4x)
* The function of the graph is y = 3 cos (4x)
Answer:
-1/9
Step-by-step explanation:
To find the slope given two points
m = ( y2-y1)/(x2-x1)
= ( 2-0)/(-4-14)
= 2/ -18
= -1/9
16. It depends on the signs that they have.
17. <em>a) </em>When adding two integers with the same sign, the sign stays the same and we just add up the numbers.
<em>b) </em>When adding two integers with different signs, we look which integer is bigger, then we pick its sign and subtract the smaller integer from the bigger integer.
1.40 is 140/100 = 7/5
7/5 divided by 4 is 7/5 multiplied by 1/4 so the solution will be 7/20
Answer:
Option 2, d; corresponding
Step-by-step explanation:
since 6 and 18 are on the same line (line d) and is on the same spot, they are considerd corresponding.