Answer:
C
Step-by-step explanation:
When we write an equation, we look for something like is or equals
A.twice as much as a number 2x
B.12 less than a number x-12
C.half of a number is 15 1/2x =15
D.the difference of 20 and a number? 20-x
A,B, and D are expressions
Reduce the fraction with 2
Answer:
40.67
Step-by-step explanation:
I calculated it
Answer:
2(l+b)
2(600cm+700cm)
2(1300cm)
2600cm
Therefore, the perimeter of the rectangular court is 2600cm.
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.
