Answer:
C. f'(x) = lim(h→0) [(f(x+h) − f(x)) / h]
Step-by-step explanation:
The first derivative is the slope between two points as the distance between those points approaches 0. Slope is Δy/Δx. Choice D is a valid way to write the first derivative. It is the slope between the points (x, f(x)) and (x+h, f(x+h)). Choice C is not a valid definition.
Answer:
A and B
Step-by-step explanation:
The minimum occurs at the turning point ( vertex )
The coordinates of the vertex are (1, - 2 ) → A
The x- intercepts are the points where the graph crosses the x- axis
This occurs at (3, 0 ) and (- 1, 0 ) → B
The axis of symmetry is a vertical line passing through the vertex
Equation of axis of symmetry is x = 1 , not y = - 2
(1, - 2 ) is a minimum not a maximum , see above
Answer: 7.5 miles
Step-by-step explanation:
think of it as a triangle; the bold line is the hypotenuse, or x.
8 |\ x
|_\ it's not a good triangle but you get the point
6
and then get out pythagorean theorem: a^2+b^2=c^2
put the numbers in: 8^2 + 6^2 = x^2
do some math:
64+36=x^2
100=x^2 (and then find square root)
10=x
<u>BUT</u>, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5
Answer:
The answer is z= 8/5, I attached a picture explaining! Lmk if u have any questions about it :)
Step-by-step explanation: