(05.06 MC)
1 answer:
The point (-2, 5) is not included in the solution area
<h3>The graph of the inequalities</h3>The system of inequalities is given as:
y > 5x + 5
y > -2x+1
See attachment for the graph.
Since the inequalities use the greater than symbol, then the lines of the inequalities would be a dotted line and the upper part would be shaded
<h3>The solution area</h3>The point is given as:
(-2, 5)
The point (-2, 5) is not in the shaded area of the system of inequalities
Hence, the point is not included in the solution area
Mathematically, we have:
5 > 5 * -2 + 5 ⇒ 5 > -5 --- true
5 > -2 * -2 +1 ⇒ 5 > 5 --- false
Since both inequalities are not true, then the point is justified
Read more about system of inequalities at:
#SPJ1
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<h3>Find a,b & c⤵️</h3>
- a = 1
- b = 4
- c = -5
- (x,y) = (0,-5)
- The minimum value is -9 at x=-2
- x= -2
- x= -5 & x= 1
times both sides by 2x
x(x+2)=2(4)
x²+2x=8
minus 8 both sides
x²+2x-8=0
factor
what 2 numbers multiply to -8 and add to 2
-2 and 4
(x-2)(x+4)=0
set to zero
x-2=0
x=2
x+4=0
x=-4
x=-4 and 2