Answer: a) c(x) = 0.124x + 1.1, b) 13 units
Step-by-step explanation: Revenue function = R(x) = 0.21x
Profit function = p(x) = 0.086 - 1.1
Cost function = c(x) =?
A)
Recall that profit = total revenue - total cost
Hence, total cost = total revenue - profit
c(x) = 0.21x - (0.086x - 1.1)
c(x) = 0.21x - 0.086x + 1.1
c(x) = 0.124x + 1.1
B)
Break even point is the point where total revenue equals total cost
R(x) = c(x)
0.21x = 0.124x + 1.1
0.21x - 0.124x = 1.1
0.086x = 1.1
x = 1.1/0.086
x = 12.79 which is approximately 13 units
Answer:
1.) 6
2.)6
3,)4
Step-by-step explanation:
I think these are the gcf of the numbers
Answer:
5
Step-by-step explanation:
x × 4 = x + 15
4x = x + 15
-x -x
3x= 15
-- --
3 3
x = 5
// have a great day //
<u>Given</u>:
Given that the triangular prism with height 10 inches.
The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.
We need to determine the surface area of the prism.
<u>Surface area of the prism:</u>
The surface area of the prism can be determined using the formula,

where b is the base and h is the height of the triangle.
s₁, s₂, s₃ are the side lengths of the triangle and
H is the height of the prism.
Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;




Thus, the surface area of the triangular prism is 360 square inches.
Hence, Option b is the correct answer.
Well, first, you need to know what you want to 'do' to it.
You want to find the description of what 'x' has to be in order to
make that inequality a true statement. Here's one way to do it:
4/5 x > 14
Multiply each side by 5 : 4 x > 70
Divide each side by 4 : x > 17.5 .
That's it. As long as 'x' is more than 17.5 ,
the original inequality is true.