Answer:
74.32
Step-by-step explanation:
Add the two together, and you have your answer b/c it's asking for the total length of the line
Answer:
To find the answer to this question we need to multiply the number of desks by the length of each desk.
26.17 × 28 = 732.76
So the final answer is 732.76 inches
Step-by-step explanation:
For this case we must find the value of the variable "x" of the following equation:
So, we follow the steps:
Subtracting 3 from both sides of the equation we have:
Different signs are subtracted and the sign of the major is placed:
Thus, the value of x is 9.
Answer:
Answer:
60,000
Step-by-step explanation:
2813 rounds to 60,000 not 61,000
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.
