Answer:
16 units
Step-by-step explanation:
You would take the area of the door (which would be 8 times 3) and subtract the area of the poster (which is 4 times 2).
Next, you would set up your equation: 24-8 which is 16.
Hope this helps! :)
Answer:
Step-by-step explanation:
Yes it is 200. If its not 5 or more you round down, in this case 50 or more.
Answer: We have
f'(x) = a x + b,
f'(x) = 0 at x = -b/a
f(x) = a x^2 / 2 + b x + c
Meaning of marked part
❟ ∵ a<0 ❟ f is a quadratic function
∴ f has absolute maximum value at x = -b/a
For all a with a less than zero, f is a quadratic function. Therefore f has a global maximum at x = -b/a
That typesetting seems very sloppy. It probably is supposed to be
∀a < 0, f is a quadratic function.
The second sentence is sloppy in use of "absolute". It can't mean absolute value, so presumably it means "global".
Sometimes a minimum or maximum is only local, but a quadratic function has exactly one extrema, and it is global. And if a < 0, the extrema is a global maximum.
Step-by-step explanation:
An extrema (minimum or maximum) for f(x) occurs only where f'(x) = 0, that is, when the slope of the tangent at x is zero.
But if the function crosses its tangent at that point, the point is an inflection point, not an extrema. A quadratic never crosses it's tangent.
Answer:
I decided to take a picture since it was easier for me that way. Hope you don't mind. Oh and if my number line isn't clear, the answer is the first number line
