Answer:

Step-by-step explanation:
The given trigonometric graph is symmetric about the y-axis.
This means it is a cosine function.
The basic is symmetric about the y-axis and has a y-intercept of 1.
Its range is 
Since the given graph has y-intercept at -1 with the same range, it is the parent cosine function reflected in the x-axis.
Therefore its equation is 
Answer:
44
Step-by-step explanation:
Just divide 660 by 15 to get 44.
Answer:
5 years ago
Let Kelly's age be x
Jake's age is 4x
5 years later
Kelly's age is x + 5
Jake's age is 4x+5
The sum of both their ages is 60. The equation will be
x + 5 + 4x + 5 = 60
5x + 10 = 60
5x = 60 - 10
x = 50/5 = 10
So Kelly is (10 + 5) 15 years old.
Jake is (4*10 + 5) = 45 years old
Answer:
p = 3, q = 2.5
Step-by-step explanation:
Given that x = - 4 is a root of the equation, then
(- 4)² - 4p - 4 = 0, that is
16 - 4p - 4 = 0
12 - 4p = 0 ( subtract 12 from both sides )
- 4p = - 12 ( divide both sides by - 4 )
p = 3
Also given that the equation x² + px + q = 0 has equal roots
Thus the value of the discriminant b² - 4ac = 0
Here a = 1, b = p and c = q, thus
p² - 4q = 0 ← substitute p = 3 from above into the equation
9 - 4q = 0 ( subtract 9 from both sides )
- 4q = - 9 ( divide both sides by - 4 )
q = 2.5
Answer:
Step-by-step explanation:
125.52*20%= $25.10