Step-by-step explanation:
4 triangles bh/2=area
2 x 2/2 = 2
2 x 4triangles = 8 units
two rectangles bh=area
2 x 6 = 12
12 x 2rectangles = 24 units
last rectangle is bh
6 x 8 = 48 untis
24+48+8=80 units
Answer: h=14
Step-by-step explanation:
7h-5(3h-8)=-72
7h-15h+40=-72 > I distributed the -5(3h-8) to get rid of parenthesis
-8h+40=-72 > I combined the like terms 7h-15h
-8h=-112 > I subtracted 40 from both sides
h=14 > I divided -8 from both sides
Answer:
25
Step-by-step explanation:
From the given information;
Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.
= 1000x
Thus, the required number of hours it will take can be computed as:

cost per hour = 125
If each plate costs $20 to make, then the total number of plate will equal to 40x
∴
The total cost can be computed as:


At C'(x) = 0




x = 25


where; x = 25

C''(x) = 1.6
Thus, at x = 25, C'' > 0
As such, to minimize the cost, the printer needs to make 25 metal plates.
Answer: 851.44
Step-by-step explanation: try to do the math
Refrection of a function across the y-axis, changes the sign of x in the function.
Thus, given the function:

Refrection of the function across the y-axis will result in the function:

Refrecting a function across the x-axis, changes the sign of the function.
Thus, refrecting the function:

across the x-axis will result in the function:

The graph of

and

is attached.
The green curve represents the graph of the function

, while the orange curve represents the graph of the function

.