If the given expression is simplified we get a. -4x² - 3x + 2.
Explanation:
- The numerator has three terms while the denominator only has one term. We divide the numerator terms each separately with the denominator term.
- So 8x³ + 6x² - 4x / -2x becomes (8x³ / -2x) + (6x² / -2x) + (- 4x/ -2x).
- The simplification of the first term; 8 / -2 = -4, x³ / x = x². So the first term is -4x².
- The simplification of the second term; 6 / -2 = -3, x² / x = x. So the second term is -3x.
- The simplification of the third term; -4 / -2 = 2, x / x = 1. So the third term is 2.
- Adding all the terms we get -4x² - 3x + 2. This is the option a.
Step-by-step explanation:
6+7m<6m or 3m-7<5+6m
6<7m+6m or 3m-6m<5+7
6<13m or -3m<13
m<13/6 or m<13/-3
m<2.16 or m<-4.333
m<2.2 or m<-4.34
Answer:
D. of any age
Step-by-step explanation:
A driver can be charged with Driving While Intoxicated of any age.
It doesn't matter how old you are because a crime is a crime. If you are younger there will most likely be less of a punishment as adults.
12 ÷ 75 = 0.16.
So she runs 0.16 miles per minute.
Hope it helps!
Answer:
The total revenue is 
.
The marginal revenue is 
.
The fixed cost is $900.
The marginal cost function is 
.
Step-by-step explanation:
The Total Revenue (
) received from the sale of 
goods at price 
is given by
The Marginal Revenue (
) is the derivative of total revenue with respect to demand and is given by
From the information given we know that the price they can sell cakes is given by the function 
, where is the number of cakes sold per day.
So, the total revenue is
And the marginal revenue is
The Fixed Cost (
) is the amount of money you have to spend regardless of how many items you produce.
The Marginal Cost (
) function is the derivative of the cost function and is given by
We know that the total cost function of the company is given by 
, which it is equal to
From the total cost function and applying the definition of fixed cost, the fixed cost is $900.
And the marginal cost function is
