Answer:
x ≥ 5
y ≥ 10
3x + 2.3y ≥ 60
Step-by-step explanation:
Lets the number of men's shoes he sells be x and women's shoes be y.
For each men's shoes , he gets a commission of $3 and for each women's shoe, he gets a commission of $2.30 .
He needs to sell atleast 10 women's shoes and 5 men's shoes.
Also he needs to make atleast $60 per week.
x ≥ 5
y ≥ 10
3x + 2.3y ≥ 60
These are are the 3 required inequalities.
Now we will see an example.
If he sells 20 womens shoes and 10 mens shoes , he will meet the requirements.
He will make a total profit = 
=$76
It would be - 1.75. Hope it helps! :)
Answer:
Step-by-step explanation:
In the interval from x=-1 to x=2, x increases by 3. In that same interval, y increases by 6 from -3 to +3. The average rate of change is
.. average rate of change = (increase in y)/(increase in x) = 6/3 = 2
The average rate of change is 2 over the given interval.
So, Both lines are perpendicular
Step-by-step explanation:
We need to identify if lines:
Line 1: (8,12)(7,-5)
Line 2: (-9,3)(8,2)
are parallel, perpendicular, or neither?
- Lines are parallel if they have same slopes i.e slope 1= slope2
- Lines are perpendicular if their slopes are negative inverses of each other i.e slope 1= -1/slope 2
The formula used to find slope is:
Finding Slope of Line 1:
The points are: Line 1: (8,12)(7,-5)
Putting values in the formula:
So, Slope of line 1 is 17
Finding Slope of Line 2:
The points are: Line 2: (-9,3)(8,2)
Putting values in the formula:
So, Slope of line 2 is 
Since
So, Both lines are perpendicular
Keywords: Slope of Lines
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