Answer:
The solution in the attached figure
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area above the dashed line 
The slope of the dashed line is positive
The y-intercept of the dashed line A is (0,3)
The x-intercept of the dashed line A is (-4.5,0)
----> inequality B
The solution of the inequality B is the shaded area below the solid line 
The slope of the solid line is negative
The y-intercept of the solid line B is (0,2)
The x-intercept of the solid line B is (6,0)
The solution of the system of inequalities is the shaded area between the shaded line and the solid line
using a graphing tool
see the attached figure
1,500+343(3×12)=13,848
1,500+343(36)=13,848
1500+12,348= 13,848
Answer:
Step-by-step explanation:
Let 
Subbing in:
a = 9, b = -2, c = -7
The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:
Group together in groups of 2:
Now factor out what's common within each set of parenthesis:
We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:
Remember that 
so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.
The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring 
gives us that x = 1 and -1. The other set is a bit more tricky. If
then
and
You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:
±
which will simplify down to
±
Those are the 4 solutions to the quartic equation.
Answer:34.4
Step-by-step explanation:
172.5-137.1=34.4
