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
Point slope equation for point (h,k) and slope m is given by
y-k=m(x-h)
compare given equation with formula
we get h=-7, k=3
so the required point is (-7,3)
Answer:
The temperature of metal after five years = -18.96875
Step-by-step explanation:
Given : Function 
where x is measured in hours
Another function is added h(x)=-x-3
therefore, the resultant function f(x)=h(x)+c(x)
For x=5
Therefore, The temperature of metal after five years = -18.96875
Answer:
y = 7
Step-by-step explanation:
The straight line which is perpendicular to the y-axis will be either x-axis or parallel to the x-axis.
Now, the general equation for all straight line which is either x-axis or parallel to x-axis are given by y = c ........... (1), where c is any constant.
For c = 0 the line will be x -axis. therefore, y = 0, is the equation of x-axis.
Now, if the line (1) passes through the point (-2, 7), then the equation will be y = 7. (Answer)
{Since, the point (-2,7) will satisfy the equation (1) and then c will be equal to 7.}
Answer:
Step-by-step explanation:
A (1 ,7) , B(4, 2), C(-1, -1) and D(-4, 4)
Find the distance of sides using distance formula.
Distance = 
A (1 ,7) , B(4, 2)
![AB = \sqrt{(4-1)^{2}+(2-7)^{2}}\\\\ =\sqrt{3^{2}+(-5)^{2}}\\\\ \\ = \sqrt{9+25}=\sqrt{34} units\\\\\\\\BC = \sqrt{(-1-4)^{2}+(-1-2)^{2}}\\\\ =\sqrt{(-5)^{2}+(-3)^{2}} = \sqrt{25+9}=\sqrt{34} units\\\\\\CD = \sqrt{(-4-[-1])^{2}+(4-[-1])^{2}}\\\\=\sqrt{(-4+1)^{2}+(4+1)^{2}}\\\\=\sqrt{(-3)^{2}+(5)^{2}}\\\\=\sqrt{9+25} = \sqrt{34} units\\\\\\AD = \sqrt{(-4-1)^{2}+(4-7)^{2}}\\\\=\sqrt{(-5)^{2}+(-3)^{2}} =\sqrt{25+9} = \sqrt{34} units](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%284-1%29%5E%7B2%7D%2B%282-7%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%20%20%20%3D%5Csqrt%7B3%5E%7B2%7D%2B%28-5%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%20%5C%5C%20%20%20%3D%20%5Csqrt%7B9%2B25%7D%3D%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5C%5C%5CBC%20%3D%20%5Csqrt%7B%28-1-4%29%5E%7B2%7D%2B%28-1-2%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%28-5%29%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%7D%20%20%20%20%20%3D%20%5Csqrt%7B25%2B9%7D%3D%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5CCD%20%3D%20%5Csqrt%7B%28-4-%5B-1%5D%29%5E%7B2%7D%2B%284-%5B-1%5D%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-4%2B1%29%5E%7B2%7D%2B%284%2B1%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-3%29%5E%7B2%7D%2B%285%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B9%2B25%7D%20%3D%20%20%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5CAD%20%3D%20%5Csqrt%7B%28-4-1%29%5E%7B2%7D%2B%284-7%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-5%29%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%7D%20%20%3D%5Csqrt%7B25%2B9%7D%20%3D%20%20%5Csqrt%7B34%7D%20units)
AB = BC = CD = AD = √34 units. so , ABCD is a square.
Area of square = side * side
= √34 * √34
= 34 square units
