Sample Response: A trend line shows the relationship between the two variables in the scatterplot. It can be used to predict based on the relationship, but it cannot be expected to produce exact figures.
Answer:
5
Step-by-step explanation:
These are functions, the number in the parentheses shows you what number you will replace x with
If f(x) = x + 3, then f(-1) is -1 + 3
So, -1 + 3 = 2. g(2) = 2(2) + 1 = 4 + 1 = 5
Hope this helps friend.
<span>let:
X = the distance of the bottom of the ladder from the wall at any time
dX/dt = rate of travel of the bottom of the ladder = 1.1 ft/sec
A = the angle of the ladder with the ground at anytime
dA/dt = rate of change of the angle in radians per second
X = 10 cos A
dX/dt= -10 sin A dA/dt = 1.1
dA/dt = -1.1/(10 sinA)
When X = 6; cosA = 6/10; sinA = 8/10
Therefore:
dA/dt = -1.1/(10 x 0.8) = -0.1375 radiant per second. </span>
Answer:
yes
Step-by-step explanation:
the FIRST derivative of a function tells us the slope of a tangent line to the curve at any point. if is positive, then the curve must be increasing. If is negative, then the curve must be decreasing.
the SECOND derivative gives us the slope of the slope function (in other words how fast the slope of the original function changes, and if it is accelerating up - positive - or if it is avengers down - negative).
so, the first derivative would be fully sufficient to get the answer of if the slope of the function at that point is positive or negative.
but because it is only a "if" condition and not a "if and only if" condition, the statement is still true.
there are enough cases, where the slope is positive, but the second derivative is not > 0 (usually = 0).
but if even the second derivative is positive, then, yes, the slope of the original function must be positive too.
Answer:
Step-by-step explanation:
All but the x- and y-intercepts are the same.
