Answer:
(c) y > 2/3x + 3
Step-by-step explanation:
Shading to the left of a line with positive slope is the same as shading above that line. That, and the fact that the line is dashed, means the inequality will be of the form ...
y > ( ) . . . . . . the solution set is y-values greater than those on the line
__
There are two choices in this form. You can see which one will include the point (-3, 1) on the boundary line:
<u>y > 3/2x +3</u>
y > (3/2)(-3) +3 = -3/2 . . . . . not 1. This is not the correct inequality
<u>y > 2/3x +3</u>
y > (2/3)(-3) +3 = 1 . . . . . . . the inequality we're looking for
Answer:
-3x-24
Step-by-step explanation:
9x - 3(4x+8)
Distribute
9x - 12x - 24
Combine like terms
-3x -24
First, we determine the volumes of the posts may it be cylindrical in shape or rectangular prism.
(A) cylindrical:
( π(26.7/100)² - π(24.2/100)²)*(7.5) = 0.3 m³
(B) rectangular prism:
(40/100)²(7.5) - (35/100)²(7.5) = 0.28125 m³
Then, we calculate for the amount of substance
(A) cylindrical: (0.3 m³)(2700 kg/m³) = 810 kg
(B) rectangular prism : (0.28125 m³)(2700 kg/m³) = 759.375 kg
Then, calculate for the costs
(A) (810 kg)($0.38/kg) = $307.8
(B) (759.375 kg)($0.38/kg) = $288.56
Thus, the answer for A is rectangular post
B. About $19.24 can be saved.
Answer:
0.41791
Step-by-step explanation:
let x be the number written to the thousandth place then,
x times thousands = 417.91
or, x = 417.91/1000
therefore, x = 0.41791
and so
0.41791 thousand = 417.91