Answer: x=2π/3 and x=4π/3
Step-by-step explanation:
The equation we have is
. All we have to do is get cosine alone to find the 2 values of x.

Now that we have our cosine left, we can use our unit circle to figure out when does cosx=-1/2. Cosine is the x value of the coordinate.
x=2π/3
x=4π/3
Answer:
B
y = 3 cos (pi/12x - pi/4) + 17
Step-by-step explanation:
First find the average temperature which is 20 + 14/2 = 17
Find the amplitude
20 - 17 = 3
This means that that at noon, the shift is 3hrs past
the best equation that represents this scenario is 
Answer:
Step-by-step explanation:
lets replace x with 3
f(3)= -2(3)^3+3(3+2)=-2*27+15=-54+15=-39
Answer:
A width: 3 unit cubes
height 3 unit cubes
Step-by-step explanation:
Volume of rectangular prism = 81 unit cubes
= Length of rectangular prism = 9 unit cubes
= Width of rectangular prism
= Height of rectangular prism
Volume of a rectangular prism is given by

The product of width and height must be 9 so from the options this is only possible when width and height both are 3 units.
So, the width is 3 unit cubes and the height is 3 unit cubes.
Answer:
c
Step-by-step explanation:
according to PEMDAS you should always do whats inside the parentheses first, then you'll multiply the parentheses by 5