Answer:
515
Step-by-step explanation:
Well, we do not see the lines clearly (if they are dotted (inequality) or solid (inequality or equal) ), but we'll come back to this.
y<x+1 can be simplified to be y<x if we ignore the constants, so the valid part is BELOW the line, since (y<)
x-4y <=4
again, ignore the constants and simplify to
x-y<0 or
y>x so the valid part is ABOVE the line (since y>)
There are two graphs that satisfy BOTH conditions, pink (slope=1) at the bottom, and blue (slope = 1/4) on top, i.e. first and third graph.
For the absolute inequality (y<x+1), the red line must be dotted.
For the <= condition, the blue line must be solid.
As we cannot see the lines clearly, you will make the choice between the first and third graphs according to the previous paragraph.
Answer:
$7,305.50
Step-by-step explanation:
The computation of the FICA tax pay in 2005 is shown below:
Medicare = 1.45% × $119,000 = $1,722.50
And, Social security tax = 6.2% × 90,000 = $5,580
So, the FICA tax in 2005 is
= Medicare tax + Social security tax
= $1,722.50 + $5,580
= $7,305.50
<h3>
Answer: 31 degrees</h3>
This is because rotations preserve angles. The angle measures won't change. That's why angle BCD is the same as angle B'C'D'. This applies to any rotation (regardless how much you rotate), any translation, any reflection, and any dilation.
Note: dilations will change the side lengths
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> the number of boys
y -----> the number of girls
----->inequality A
The solution of the inequality A is the shaded area above the solid line
The slope of the solid line is positive
The y-intercept of the solid line is (0,-5)
The x-intercept of the solid line is (5,0)
-----> equation B
The solution of the inequality B is the shaded area above the dashed line
The slope of the dashed line is negative
The y-intercept of the solid line is (0,4)
The x-intercept of the solid line is (4,0)
using a graphing tool
the solution of the system of inequalities is the shaded area between the solid line and the dashed line
see the attached figure
