Answer: 0.00133m/s
Step-by-step explanation:
Given
distance crawled by the snail = 6cm = 0.06m
Time taken = 0.75minutes = 0.75*60
Time taken = 45secs
Required
constant rate of change of the snail's crawl (speed)
Speed of the snail = distance/time;
Speed of the snail = 0.06/45
Speed of the snail = 0.00133m/s
Hence the constant rate of change of the snail's crawl in m/s is 0.00133m/s
Answer:
Option B and C are correct.
are the expression incorrect for slope
Step-by-step explanation:
Slope is defined as the change in the dependent variable relative to the change in the dependent variable
or the ratio of the horizontal changes to vertical changes between any two points on the graph of the line.
The vertical changes between any two points is rise
The horizontal changes between any two points is run.
Formula for slope is given by:
For any two points 
and 
then slope is:
or we can write this as:
Δy = 
Δx = 
⇒
Therefore, the expression which are incorrect for slope are;
Answer:
Your answer =
4.6
Step-by-step explanation:
Hope it helps
Answer:
g(x) has the greater max: 11 versus 6
Step-by-step explanation:
One can readily discern the max value of the graph; it is 6 and occurs at x =1.
Regarding the function g(x) = (-1/2)x^2 + 4x + 3: Find the vertex, which also represents the max value:
Here the coefficients are a = -1/2, b = 4 and c = 3, so that the axis of symmetry is:
x = -b/(2a), which here is x = -4 / ( 2·[-1/2] ) = -4 / (-1) = 4
At x = 4, the function (y) value is
g(4) = (-1/2)(4)² + 4(4) + 3, or
g(4) = -8 + 16 + 3, or 11
This is greater than the max value of the graphed function.
