The first step is to ignore the inequality symbol first and replace it with '=' sign. Then, find the x- and y-intercepts.
15x + 10y = 1,100
x-intercept:
15x + 0 = 1,100
x = 1,100/15 = 73.33
y-intercept:
0 + 10y = 1,100
y = 1,100/10 = 110
Now, plot points (73.33,0) and (0,110). Since the equality symbol is ≥, which has an equal sign to it, connect the points using a solid line.
Next, let's find a point on the graph. Suppose it is the origin at (0,0). Use this points to the equation.
15x + 10y ≥ 1,100
15(0) + 10(0) ? 1,100
0 ? 1,100
0 < 1,100
It makes the symbol ≥ false. Therefore, it means that the other region bounded by the line is the solution. So, you shade this area. The final graph is shown in the picture attached.
He pays $450 in taxes.
Since the first $10,000 of the assessed value is exempt, we subtract $10,000 from the $25,000 assessed:
25000-10000=15000
Now we need to see how many $100-increments are in 15000. We do this by dividing:
15000/100 = 150
Each of these raises the taxes by $3:
150(3) = 450
2x+8y=20;y=2
2x+8(2)=20
2x+16=20
-16 -16
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2x=4
x=2
The coordinate will be (2,2)! Hope that was helpful :)
10w + 4w = - 84
14w = - 84
w = - 84 : 14
w = - 6 ( answer )
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10 * (- 6) + 4 * (- 6) = - 84
- 60 + (- 24) = - 84
- 84 = - 84