Answer:
The minimum cost is $9,105
Step-by-step explanation:
<em>To find the minimum cost differentiate the equation of the cost and equate the answer by 0 to find the value of x which gives the minimum cost, then substitute the value of x in the equation of the cost to find it</em>
∵ C(x) = 0.5x² - 130x + 17,555
- Differentiate it with respect to x
∴ C'(x) = (0.5)(2)x - 130(1) + 0
∴ C'(x) = x - 130
Equate C' by 0 to find x
∵ x - 130 = 0
- Add 130 to both sides
∴ x = 130
∴ The minimum cost is at x = 130
Substitute the value of x in C(x) to find the minimum unit cost
∵ C(130) = 0.5(130)² - 130(130) + 17,555
∴ C(130) = 9,105
∵ C(130) is the minimum cost
∴ The minimum cost is $9,105
Answer:
height = 13.75 feet
Step-by-step explanation:
use the Pythagorean theorem
hypotenuse^2 =base^2 + height^2
15^2 = 6^2+height^2
225 = 36 + height^2
189 = height^2
height = 13.75 feet
The perimeter of a figure is the distance all the way around the figure.
Area is how many units takes up the figure.
Example of perimeter: (attached)
Example of area: (attached, with squares in square)
In this case, the <em>area depends on the perimeter</em>. Count two sides of the rectangle. (Horizontal, and vertically.) Then write what the perimeter is for that. <u>Multiply</u> the two numbers and that will be your area.
Vertically, it is 11. Horizontally, it is 9. I would like you to try to see what to do next, if not, comment!
I hope this helped!
Answer:
19
Step-by-step explanation:
19 x 2 = 38
Twice a quantity usually indicates to take two of the things in question; usually this indicates to multiply by 2. Thus "twice a number x" can be written symbolically as 2x. If this is part of a problem, say twice a number x is 6, then we can rewrite algebraically as 2x=6; dividing both sides by 2 yields x=3.
Answer:
Step-by-step explanation:
I'm going to assume you mean passes through the point (-2,5) since -2 and 5 could mean a lot of different things
To find the perpendicular line's gradient, you would know that m1*m2 = -1
In this case m1 = 7, so m2 must be -1/7
Now we substitute the gradient into the equation
y = -1/7x + b
To find b, we substitute (-2,5) into the equation above
5 = -1/7*-2+b
5 = 2/7 + b
b = 33/7
Therefore the equation of the line is
y = -1/7x+33/7
