Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70 
From there
x * (2x - 4) = 70
- 4x = 70
- 4x - 70 = 0
- 2x - 35 = 0
Now we have a quadratic equation, which is a
+ bx + c = 0, where a
0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D =
- 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are
and
=
= -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
=
= 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)
Answer:
<h2>A. 1</h2>
Step-by-step explanation:
Use:
|a| = a for a ≥ 0 or |a| = -a for a < 0
PEMDAS:
P Parentheses first
E Exponents
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
========================================
|8 - 7| · 4 + 3(-1)
= |1| · 4 - 3
= 1 · 4 - 3
= 4 - 3
= 1
Answer:
The monopolist's net profit function would be:

Step-by-step explanation:
Recall that perfect price discrimination means that the monopolist would be able to get the maximum price that consumers are willing to pay for his products.
Therefore, if the demand curve is given by the function:

P stands for the price the consumers are willing to pay for the commodity and "y" stands for the quantity of units demanded at that price.
Then, the total income function (I) for the monopolist would be the product of the price the customers are willing to pay (that is function P) times the number of units that are sold at that price (y):

Therefore, the net profit (N) for the monopolist would be the difference between the Income and Cost functions (Income minus Cost):

No clue I’m not great at math but you will figure it ou
Answer:
1 is 6
2 is 3.5
3 is 5
4 is 8.46
Step-by-step explanation:
if not sorry :-(