Answer:
The system will be inconsistent.
Step-by-step explanation:
We are given that a system of linear equations has a 3×5 augmented matrix whose fifth column is a pivot column.
Then such a system is not consistent because since the augmented matrix has a pivot in fifth column it means that the new column added to the matrix A will lead to increase in the rank as that of matrix A.
Hence the rank of A and Augment A will not remain same and hence the system will be inconsistent.
Answer:
x = 1
Step-by-step explanation:
To solve for a variable, you need to get the variable on one side of the equation, and by itself.
4x + 5 = x + 8
4x = x + 3 --- subtract 5 from both sides
3x = 3 --- subtract x from both sides
x = 1 --- divide both sides by 3
• x+1.793= 2.42
x-1.793= 2.42-1.793 FALSE
• 5.25x = 15.75
Solve for x, by dividing both sides of the equation by 5.25
x = 15.75/5.25
x = 3 TRUE
• The equation x = 2.4 *11.62 can be rewritten as x = 11.62 * 2.4. TRUE
• The solution to the equation x + 9.43 = 16.09 is x = 6.66.
x+9.43 = 16.09
Subtract 9.43 from both sides of the euqation:
x-9.43+9.43= 16.09-9.43
x = 6.66 TRUE
Answer:
Volume of round cake pan = volume of cylinder
Volume of a cylinder =
(where r is the radius and h is the height)
Radius =
diameter ⇒ 
⇒ volume of round cake pan = 
= 76.97 in³ (nearest hundredth)
Volume of rectangular cake pan = volume of rectangular prism
volume of rectangular prism =
(where w is the width, l is the length and h is the height)
⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³
As 108 > 76.97, the rectangular cake pan has a larger volume
Explanation is in the file
tinyurl.com/wpazsebu