Answer:
144
Step-by-step explanation:
20×12=240
add 4 to 20 and 12
makes a new rectangle 24×16
24×16=384
384-240=144
Answer:
B
Step-by-step explanation:
The slope is 4.
Let's find the slope between your two points.
(1,−2); (3,6)
(x1,y1) = (1,−2)
(x2,y2) = (3,6)
Use the slope formula:
m = y2−y1 / x2−x1
= 6− −2 / 3−1
= 8 / 2
= 4
Answer:
m = 4
Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.
The volume of the piece can be calculated as,

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

This is the cost (in dollars) for 1 piece.
Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

Thus, the total prototypes will cost around $60.75
Answer:
Option (1) is the correct option.
Step-by-step explanation:
Function 1,
f(x) = 4x² + 8x + 1
= 4(x² + 2x) + 1
= 4(x² + 2x + 1 - 1) + 1
= 4(x² + 2x + 1) - 4 + 1
f(x) = 4(x + 1)² - 3
This graph opens up with the vertex or minimum point at (-1, -3)
So, the minimum value of the function is (-3) at x = -1.
Function (2)
From the given table minimum value of the function is 0 at x = -1 or minimum point as (-1, 0)
Therefore, Function 1 has the least minimum value and its coordinates are (-1, -3)
Option (1) is the correct option.