Hi there!

Knowing that one cube has side-lengths of 1/2, we can calculate the dimensions for the prism:
Length: 1/2 × 5 = 2.5 cm
Height: 1/2 × 3 = 1.5 cm
Width: 1/2 × 2 = 1 cm
Use this formula to solve for the volume:
V = l × w × h
Thus:
V = 2.5 × 1.5 × 1 = 3.75 cm³
Convert to fraction:
75/100 = 3/4
Thus, the volume in mixed-numbers is 3 3/4 cm³.
Answer:
The price is x = $2.779
Step-by-step explanation:
From the question we are told that
The revenue is 
The cost of production is 
Generally at break even point the cost of production is equal to the revenue
So

=> 
Using the quadratic formula to solve this equation we have that
x = $2.779
Answer: The graph crosses the x-axis at x = 2.
Step-by-step explanation:
The root has a multiplicity of 3, meaning that it crosses the x axis at x=2.
Answer:
Component form : (-7 , 2)
Step-by-step explanation:
P(4 , 5) = P'(4 +x , 5+y) = P'(-3 , 7)
4 + x = -3
x = -3 - 4
x = -7
5 + y = 7
y = 7 - 5
y = 2
Vector form : -7i + 2j
Component form : (-7 , 2)
Answer: Use the given functions to set up and simplify
32. 1/8y = 4He= y =32He8= y =32He32=y=32He