Answer:
Step-by-step explanation:
The point slope form is expressed as
y - y1 = m(x - x1)
Where
m represents slope
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The given points are (2,6) and (-1,3)
y2 = 3
y1 = 6
x2 = - 1
x1 = 2
Slope,m = (3 - 6)/(- 1 - 2) = - 3/- 3 = 1
To determine the equation, we would substitute x1 = 2, y1 = 6 and m= 1 into the point slope form equation. It becomes
y - 6 = x - 2
Step-by-step explanation:
U = (x - 5)
V = y^3
because we follow the rule
(U+V)^2 = U^2 + 2UV + V^2
factor the expression will be

Answer:
See Explanation
Step-by-step explanation:
If a Function is differentiable at a point c, it is also continuous at that point.
but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.
- the function must have one and only one tangent at x=c
- the fore mentioned tangent cannot be a vertical line.
And
If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.
- For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.
Answer:
n = -2
Step-by-step explanation:
-19 to -15 would be a positive 4 difference
19 to 15 = 4 this would be a -4 difference
3 to 7 is a positive 4 difference
-3 to 7 is a difference of 10
so there is 1 with a -4 difference
answer is B.