Answer:
2
Step-by-step explanation:
From the graph, we obtain the trigonometric function as:
The corresponding cosine function have equation.
This function is of the form:
where is the amplitude.
Therefore the amplitude is |2|=2
The third choice is correct
Step-by-step explanation:
1/3 hour = 20 minutes
1 1/2 dozen = 12 + 6 = 18 cookies
18 cookies x 3 (3 sets of 20 minutes = 1 hour) = 54 cookies per hour
Answer:
y = (x - 4)² - 25
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
y = (x + 1)(x - 9) ← expand factors using FOIL, thus
y = x² - 8x - 9
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 - 9
= (x - 4)² - 25 ← in vertex form
Distribute Property 5(x+6) basically means 5×x + 5×6 = 5x+30
37= -3+5x+30 (subtract 30 on both sides)
7=-3+5x (add three on both sides)
10= 5x (divide 5 on both sides)
x=2