for the first one set 3y+y=180 and y+x=180
the second one set w+y=180, 42+x=180, y+20=180, and 87+v
Answer:
134 sneakers and 66 sandals
Step-by-step explanation:
Sneakers= x, sandals= y
Profit rate:
- sneakers: (10-2)/8= 25%
- sandals: (17-14)/14= 21.4%
Sneakers are more profitable, so it should be maximized.
Cost:
8x+14y≤2000
x+y≤200
if we assume the maximum of 200 shoes stocked, then:
x= 200-y
8(200-y)+14y ≤ 2000
1600 - 8y +14y ≤ 2000
6y≤400
y≤66 and x=134 is the best option
Answer:
3
Step-by-step explanation:
x+10=13
x+10-10=13-10
Simplfiy
x=3
1) slope = (y₂-y₁)/(x₂-x₁)
Let A and B be A(4,-6) and B(0,2) ;
m = [2-(-6)]/[0-4) = (2+6)/(-4) → m = -2
2) Midpoint = value of x of the midpoint = (x₁+x₂)/2
value of y of the midpoint = (y₁+y₂)/2
x(midpoint) = (4+0)/2 → x= 2
y(midpoint) = (-6+2)/2 → y= - 2, so Midpoint M(2,-2)
3) Slope of the perpendicular bisector to AB:
The slope of AB = m = -2
Any perpendicular to AB will have a slope m' so that m*m' = -1 (or in other term, the slope of one is inverse reciprocal of the second, then if m =-2, then m' = +1/2 ; Proof [ (-2)(1/2) = -1]
4) Note that the perpendicular bisector of AB passes through the midpoint of AB or M(2,-2). Moreover we know that the slope of the bisector is m'= 1/2
The equation of the linear function is :
y = m'x + b or y = (1/2)x + b. To calculate b, replace x and y by their respective values [in M(-2,2)]
2= (1/2).(-2) + b → 2 = -1 + b → and b= 3, hence the equation is:
y = (1/2)x + 3
