There are 2 short sides x and 1 long side y.
x+x+y=1,800
2x+y=1,800
y=1,800-2x
The area of the rectangle is A=x(1,800-x).
A is a function with variable x. Moreover it is a quadratic (second degree) function.
The graph of the function is a parabola which opens downwards, because the signs of the leading coefficients of the factors, multiply to minus:
(x)(-x)=-x^2.
This means that the highest point of the parabola, is its vertex V(h,k), so the function takes its largest value for x=h.
The roots of A=x(1,800-x) are x=0 and x=1,800, thus the x coordinate of the vertex, must be the midpoint of 0 and 1,800, that is 900.
Answer:
A=x(1,800-x)
largest area is when x=900
Answer:
The degrees of freedom, Df = The number of bags produced on Monday - 1
Step-by-step explanation:
The number of degrees of freedom is the limiting number of values that are logically not influenced by other values such that they are capable of having variation
The degrees of freedom = The sample size - 1 = N - 1
Therefore, the degrees of freedom, Df = The number of bags produced on Monday - 1
Answer:
Undefined
Step-by-step explanation:
has a slope of 
, since it is a horizontal line. The only types of lines that are perpendicular to horizontal lines are vertical lines, which are usually in the form 
(where 
is any real number). Vertical lines have an undefined slope, so the answer is undefined. Hope this helps!
<h3>
Answer: 10%</h3>
Work Shown:
2/20 = 0.10 = 10%
Note that 10% of 20 = 0.10*20 = 2 dollars is the sales tax to help confirm the answer.
Answer:
x = 3, y = 1 is the solution of the given system.
Step-by-step explanation:
Here, the given system of equations is:
y = -x + 4 ...... (1)
y = x - 2 .......... (2)
Now, to find the solution of the system, SUBSTITUTE the value of y from equation (1) in to the equation (2). We get ,
y = x - 2 ⇒ -x + 4 = x - 2 ( as from (1), y = -x + 4)
or, -x -x = -2 -4
or, - 2 x = -6 ⇒ x = 6/2 = 3
or, x = 3
⇒ y = x - 2 = 3 - 2 = 1
⇒ y = 1
Hence, x = 3, y = 1 is the solution of the given system.
