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:
The point was translated right 7 units and down 7 units.
The decimal expansion of 0.31717 is an infinite number with the 17 repeating.
Let the given decimal = X, so we have X = 0.31717 ( 1st equation)
Multiply both sides by 100 to get:
100x = 31.717 ( 2nd equation)
Subtract the 1st equation from the 2nd equation:
100x = 31.1717 - x = 0.31717 = 99x = 31.4
Divide both sides by 99:
X = 31.4 / 99
Multiply both numbers by 10 to remove the decimal point:
X = 314 / 990
Divide both numbers by 2 to get the final answer of 157 / 495
The answer is B.
