Answer:
20 feet
Step-by-step explanation:
1st piece = x
2nd piece = 2x
3rd piece = 6x
x+2x+6x=180
9x=180
x=20
so the first piece is 20 feet, the second is 40, and the third is 120.
Answer:
D. All the above are correct
Step-by-step explanation:
An isocost line will be shifted further away from the origin if the total cost increases, if the price of both inputs increases or there is an advance in technology.
An isocost line can be defined as the graphical representation of various combinations of two inputs factors (labor,L and capital, K) which the firm can afford or purchase with a given amount of money.
An isocost line can be expressed mathematically as:
C = w L + r K
Where,
C = cost of production
w = price of labor or wages
L = units of labor
r = price of capital or interest rate
K =units of capital
Isocost is used to determine what combination of factor inputs the firm will choose for production process.
Answer:
18 Inches
Step-by-step explanation:
Answer: <em>a = [ 65.8]</em>
Step-by-step explanation:
<em>A = 18°</em>
<em>B = 28°</em>
<em>b = 100</em>
<em>a = [ x ]</em>

ANSWER
The discriminant is zero.
The given equation has one real root.
EXPLANATION
The given quadratic equation is:

We rewrite this in the form;


This means that,
a=-2, b= 8, c=-8
The discriminant is given by;
D=b² - 4ac
That is:


Therefore the discriminant is zero.
This tells us that the quadratic equation has one real root.
In order words, the given quadratic equation has a repeated real root.