14+5x=3(-x+3)-11
14+5x=-3x+9-11
14+5x=-3x-2
add 2 to both sides
16+5x=-3x
subtract 5x from both sides
16=-8x
divide both sides by -8
-2=x
Hope this helps! :)
Answer:
-1
Step-by-step explanation:
For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:

Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).
Solving for slope:




Hence, the slope of the line joining the given points is <u>-1.</u>
Refer to the diagram shown below.
The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x² (1)
The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²
The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x
The total cost is
C = 20x² + 180/x
The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.
The total cost is
C = 20(1.651)² + 180/1.651 = $163.54
Answer: $163.54
Answer:
No.
Step-by-step explanation:
1. Subsutute p/q with the numbers given, p = -2 and q = 5.
-2 / 5.
2. Divide 2/5 and -2/5 and compare.
2 / 5 = 0.40
-2 / 5 = -0.40
-0.40 < 0.40
If they are not =, then they are <u>NOT</u> equivalent.
Which means, they are Not equivalent.
2/8 is .25 as a decimal .