Answer:
slope 3/5
Step-by-step explanation:
3x − 5y − 6 = 0
To find the slope, we want to solve for y
(y = mx+b slope intercept form of the equation(
Add 5y to each side
3x − 5y+5y − 6 = 0+5y
3x-6 = 5y
Divide by 5
3/5x -6/5 = 5y/5
3/5 x -6/5 = y
The slope is 3/5 and the y intercept is -6/5
The solution to this system is (x, y) = (8, -22).
The y-values get closer together by 2 units for each 2-unit increase in x. The difference at x=2 is 6, so we expect the difference in y-values to be zero when we increase x by 6 (from 2 to 8).
You can extend each table after the same pattern.
In table 1, x-values increase by 2 and y-values decrease by 8.
In table 2, x-values increase by 2 and y-values decrease by 6.
The attachment shows the tables extended to x=10. We note that the y-values are the same (-22) for x=8 (as we predicted above). That means the solution is ...
... (x, y) = (8, -22)
Answer:
$1340.49
Step-by-step explanation:
From the attached image
Subtotal Cost of Purchased Items

Since the builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days.
Discount = 23% of $1658 = 0.23 X 1658 =$381.34
Total (Less Discount) = 1658-381.34 = $1276.66
Tax on building materials is 5%.
Therefore:
Tax = 5% of $1276.66=0.05 X 1276.66
Tax=$63.83
Therefore, the total bill:
=$1276.66+63.83
Grand Total =$1340.49
E= Emma's age
emma's sister's age= e+9 (emma's age plus 9)
e+9=49
(isolate your variable)
e+9-9=49-9
e=40
Emma is 40 years old
To check: Emma's sister is 9 years older right? take emmas age 40 plus the nine more years and you still get the total of 49! hope that helps good luck