Answer:
Step-by-step explanation:
Given:
The graph in the attachment where the coordinates are (3,3) and (-3,-1)
Required:
Which inequality represent the graph
The first step is to determine the slope of the graph
Where m represents the slope, 
and 
Simplify to lowest term
Next is to determine the equation of the line using the slope formula
, and
Cross multiply
Open both brackets
Collect like terms
Divide through by 3
Reorder
Next is to determine the inequality sign
- The dotted lines on the graph shows that the inequality sign is either > or <
- Since the shaded region is the upper part of the graph, then the > inequality sign will be considered,
The inequality becomes
Answer:
21
Step-by-step explanation:
Answer:
5(x2 + 3x) = 5(22 + 3
Step-by-step explanation:
Hope it is helpful....
You can use the distributive property and multiply this out.
2x(3x² +9x -3) -2(3x² +9x -3)
= 6x³ +18x²-6x -6x² -18x +6
= 6x³ +12x² -24x +6
The coefficient of the x² term is 12.
_____
You can do this in your head using the techniques of Vedic mathematics. Write the coefficients of the two expressions, putting 0 for the x² coefficient in the first factor.
0 2 -2
3 9 -3
The x² term of the product will be the sum of the products of terms whose degrees add to 2. That is, the first term of the first row times the last term of the second row, plus the product of the middle two numbers in each row, plus the product of the first term in the second row times the last term in the first row.
Here's a more visual representation of the products that get added to get the coefficient of the x² term.
0 2 -2
3 9 -3 . . . . product is 0
0 2 -2
3 9 -3 . . . . product is 18
0 2 -2
3 9 -3 . . . . product is -6
The sum, of course, is 0 +18 -6 = 12
