Answer:
a) The marginal cost function is given by
C'(x) = 4 + 0.04x + 0.0003x² (in dollars)
b) C'(70) = $8.27
Step-by-step explanation:
C(x) = 1000 + 4x + 0.02x² + 0.0001x³
a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.
Mathematically,
MC = (dC/dx) = C'(x)
For this question,
C'(x) = 4 + 0.04x + 0.0003x²
b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.
C'(x) = 4 + 0.04x + 0.0003x²
C'(70) = 4 + 0.04(70) + 0.0003(70²)
C'(70) = $8.27
Hope this helps!
Answer:
X=x−4
Step-by-step explanation:
2(x−3)+X=5x−2(x+5)
Use the distributive property to multiply 2 by x−3.
2x−6+X=5x−2(x+5)
Use the distributive property to multiply −2 by x+5.
2x−6+X=5x−2x−10
Combine 5x and −2x to get 3x.
2x−6+X=3x−10
Subtract 2x from both sides.
−6+X=3x−10−2x
Combine 3x and −2x to get x.
−6+X=x−10
Add 6 to both sides.
X=x−10+6
Add −10 and 6 to get −4.
X=x−4
To group an expression, means that the factors of the expression are to be separated in (), [] or {}.
An expression with a value of 80 is: ![2^2 \times ( [2 + 2] \times [3 + 2] )](https://tex.z-dn.net/?f=2%5E2%20%5Ctimes%20%28%20%5B2%20%2B%202%5D%20%5Ctimes%20%5B3%20%2B%202%5D%20%29)
The number is given as:
Factorize
Factorize 40
Express 
as an exponent
Express 20 as 4 x 5
Express 5 as 3 + 2
![80 = 2^2 \times ( 4 \times [3 + 2] )](https://tex.z-dn.net/?f=80%20%3D%202%5E2%20%5Ctimes%20%28%204%20%5Ctimes%20%5B3%20%2B%202%5D%20%29)
Express 4 as 2 + 2
![80 = 2^2 \times ( [2 + 2] \times [3 + 2] )](https://tex.z-dn.net/?f=80%20%3D%202%5E2%20%5Ctimes%20%28%20%5B2%20%2B%202%5D%20%5Ctimes%20%5B3%20%2B%202%5D%20%29)
Hence, the above expression has a numerical value of 80
Read more about numerical expressions at:
brainly.com/question/24787226
Answer:
function
Step-by-step explanation:
I can not see your choices but I'm assuming that this equation is what you are looking for: 16t+vt+ho. The other equation 4.9t+vt+ho is used for meters. I apologize if those weren't your choices as once again I can not see them.
