Answer:
The graph in the attached figure
Step-by-step explanation:
we have

The solution of the inequality is the shaded area above the solid line of the equation of the parabola 
The vertex of the parabola is the point (0,-1)
The parabola open downward (vertex is a maximum)
using a graphing tool
see the attached figure
Answer:
w = 4
YZ = 24
Step-by-step explanation:
Since, Y is a point lying between the points X and Z.
Therefore, relationship between the lengths of the segments will be,
length of segment XZ = length of XY + length of YZ
It's given in the question,
XZ = 12w - 8
YZ = 6w
XY = 4w
By substituting these values in the relation,
12w - 8 = 4w + 6w
12w - 8 = 10w
12w = 10w + 8
12w - 10w = 8
2w = 8
w = 4
Since, YZ = 6w
Therefore, YZ = 24
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment
System 1: The solution is (x, y) = (-4, 5)
System 2: The solution is 
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
2x + 3y = 7 ------ eqn 1
-3x - 5y = -13 --------- eqn 2
We can solve by elimination method
Multiply eqn 1 by 3
6x + 9y = 21 ------ eqn 3
Multiply eqn 2 by 2
-6x - 10y = -26 ------- eqn 4
Add eqn 3 and eqn 4
6x + 9y -6x - 10y = 21 - 26
-y = -5
y = 5
Substitute y = 5 in eqn 1
2x + 3(5) = 7
2x + 15 = 7
2x = -8
x = -4
Thus the solution is (x, y) = (-4, 5)
<h3><em><u>
Second system of equation is:</u></em></h3>
8 - y = 3x ------ eqn 1
2y + 3x = 5 ----- eqn 2
We can solve by susbtitution method
From given,
y = 8 - 3x ----- eqn 3
Substitute eqn 3 in eqn 2
2(8 - 3x) + 3x = 5
16 - 6x + 3x = 5
3x = 16 - 5
3x = 11

Substitute the above value of x in eqn 3
y = 8 - 3x

Thus the solution is 