Answer:
m= 4
b= -12
( 4, -12)
Step-by-step explanation:
m= y2- y1/ x2-x1
m= 12 - 4/ 4 - 2
m= 8/ 2
m= 4
y= 4x + b
(2,4)
4= 4(4) + b
4= 16 + b
-16+4= b
-12= b
b= -12
Answer:
Take-home pay is the net amount of income received after the deduction of taxes, benefits, and voluntary contributions from a paycheck.
Step-by-step explanation:
Hope this helps!
The formula for the area of a rectangular prism is
V=l*w*h
In this case, the l=(3+3+3+3=12)12in, the w=(3+3+3+3=12)12in, and the height=(3+3+3+3+3=15)15in
plug in the data we know
V=12*12*15
V=144*15
V=2160in³
The three angles create a triangle. The sum of the angles of a triangle is always 180°.
Solving for x,
45° + 35° + x = 180°
x = 100°
Answer:
$180000
Step-by-step explanation:
Let's c be the number of chair and d be the number of desks.
The constraint functions:
- Unit of wood available 4d + 3c <= 2000 or d <= 500 - 0.75c
- Number of chairs being at least twice of desks c >= 2d or d <= 0.5c
c >= 0
d >= 0
The objective function is to maximize the profit function
P (c,d) = 400d + 250c
We draw the 2 constraint functions (500 - 0.75c and 0.5c) on a c-d coordinates (witch c being the horizontal axis and d being the vertical axis) and find the intersection point 0.5c = 500 - 0.75c
1.25c = 500
c = 400 and d = 0.5c = 200 so P(400, 200) = $250*400 + $400*200 = $180,000
The 500 - 0.75c intersect with c-axis at d = 0 and c = 500 / 0.75 = 666 and P(666,0) = 666*250 = $166,500
So based on the available zones in the chart we can conclude that the maximum profit we can get is $180000
