We are given coordinates of a continuous function f(x)
(–2, 0)
(0, –2)
(2, –1)
(4, 0).
We need to find the possible turning point for the continuous function.
<u>Note: Turning point is a point on the graph where slope of the curve changes from negative to positive or positive to negative.</u>
<em>A turning point is always lowest or highest point of the curve (where bump of the graph seen).</em>
For the given coordinates we can see that (–2, 0) and (4, 0) coordinates are in a same line, that is on the x-axis.
But the coordinate (0, –2) is the lowest point on the graph.
Therefore, (0, –2) is the turning point for the continuous function given.
The total cost of the least expensive fence would be $800.
To minimize perimeter and maximize area we take factors that are as close to equal as possible. In this case, the closest whole number factors are 200 and 100. Since the north and south faces cost less, we will make those 100 ft and make the more expensive east and west faces 200 ft.
100 ft × $2/ft = $200 per side × 2 sides = $400 for the north and south facing sides.
200 ft × $1/ft = $200 per side × 2 sides = $400 for the east and west facing sides
$400 + $400 = $800
We can write an equation to represent this problem:
.525x=25.83
Divide by .525
x=49.2
52.5% of 49.2 is 25.83
Answer:
x=4
Step-by-step explanation:
-3(4x+3)
you need to break open the paranthesis
-3 times 4x equals to -12x. -3 times 3 equals to -9. That means that this expression is equal to -12x-9.
4(6x+1)
you need to break open the paranthesis
4 times 6x equals to 24x. 4 times 1 equals to 4. That means that this expression is equal to 24x+4.
-12x-9+24x+4=43
move all variables to the left side and numbers to the right side
-12x+24x=43-4+9
12x=48
x=4
