X^2-16 is a difference of squares of the form:
(a^2-b^2) which always factors to:
(a+b)(a-b), in this case we have:
(x+4)(x-4), we are told that width is (x+4) so the length is:
(x-4)
Answer:
(1)raise, (2)decrease
Step-by-step explanation:
A monopolist's marginal cost curve shifts up, but the firm's demand curve remains the same and the firm does not shut down. Compared with the condition before the increase in marginal costs, the monopolist will <u>raise</u> its price and <u>decrease</u> its level of production.
Marginal cost is the additional cost incurred when one more unit of the output is produced. It is a J-shaped curve, which <em>initially decreases, reaches its minimum and then starts increasing.</em>
Marginal cost is an important factor in economic theory because a company that is looking to maximize its profits will produce up to the point where <em>marginal cost (MC) equals marginal revenue</em>
Let the base of the ladder be x ft and the extension be y ft.
"when fully extended, a ladder is 28 feet in length."
means: x+y=28
"<span>the extension is 4 feet shorter than the base</span>"
means: y=x-4, that is x-y = 4, (taking y to the side of x, and -4 to the other side of x and y)
thus, we have the system of equations:
1) x+y= 28
2) x-y=4
adding the 2 equations, we have:
(x+y)+(x-y)=28+4
2x=32
x=32/2=16
x+y=28, so 16+y=28, thus y=12
Answer: Base: 16, Extension 12
Answer:
1. The vertex of the function is at (1,-25)
5. The graph is a negative on the Entire interval -4<x<6
