To get minimized number of x steel bars, we differentiate the equation and then equate to zero:
d/dx (C(x) = 0.02x² – 3.4x + 150)
C'(x) = 0.02(2)x – 3.4 = 0
Solving for x
0.04x – 3.4 = 0
x = 85 steel bars
For minimum cost,
C(x = 85) = 0.02(85)² – 3.4(85) + 150 = 5.5 dollars
Answer:
measure of each angle of a regular octagon=360/8=45°
at the point, 60°+x+45=360°
x=255°
Answer:
Step-by-step explanation:
The equation expressing the number y of shopping centers in terms of the number x of years after 1992 will be LINEAR in nature
The standard equation is expressed as;
y = mx+c
m is the slope
c is the intercept
If in 1992, there were 41,984 shopping centers in a certain country and in 2002, there were 48,225 we can express this as coordinate points
(0, 41984) and (10, 48,225)
Get the slope
m = 48,225-41,984/10-0
m = 6241/10
m = 624.1
Get the intercept, substitute m = 624.1 and the point (0,48225) into the formula y = mx+c
48225 = 624.1(0)+c
48225 = 0+c
c = 48225
Get the required equation
y = 624.1x+48225
Answer:
Linear non-linear
x<2 , x>5 2<x<5
Step-by-step explanation:
When a function is linear then the graph is a straight line
When the function is not linear then the graph is like a curve
From x = - infinity to 2 the graph is a straight line
So from - infinity to 2, the function is linear, that is x<2 function is linear
from 2 to 5 the graph is like a curve , so it is not linear
2<x<5 , the function is not linear
From x = 5 to infinity the graph is a straight line
So from 5 to infinity, the function is linear, that is x>5 function is linear
Here's one way--- 1 half dollar, 2 quarters, 10 pennies
