Answer:
(1,0)
Step-by-step explanation:
y>-3x +3
y≥ 2x-2
If we plot these two inequalities, we can see where the lines intersect, See attached graph.
They intersect at (1,0)
We can also do this mathematically:
y>-3x +3
<u>- (y≥ 2x-2)</u>
0
-5x + 5
5x
5
x
1
If x = 1:
y≥ 2x-2
y≥ 2(1)-2
y≥ 0
(x,y) = (1,0)
Answer:
(6,-34)
Step-by-step explanation:
You can use the vertex formula to find the x of the vertex and then plugin the x value into the formula to find the y value.




Now plugin 6 into y=x²-12x+2
y=x²-12x+2
y=6²-12(6)+2
y=36-72+2
y=36-72+2
y = -34
Vertex = (6,-34)
For this case we define the following variable:
- <em>x: number of stamps
</em>
We now write the equation that models the problem:

From here, we clear the value of x.
We have then:

Answer:
The number of stamps he has is:

You might have to do the quadratic formula
As you probably know, the term <em>divided </em>designates to the mathematical operation division. So, to express such expression, simply divide p by 6:
p/6