The answer would be 5 3/4 because you would divide -11 1/2 by 2
If

is true, then

is false, which in turn means

is true.
If

is false, then

is true, and so

is false.
So, because

in both cases, the statement is a tautology (always true).
If you were to put this in a table, you would have one column each for

. In the first column (

) you can think of

as an independent variable that can only take two values, true and false. In the next column (

), you would negate the value in the previous column. And so on.
It should roughly look like this:
p ... ~p ... ~(~p)
T ... F ... T
F ... T ... F
Answer:
10%
Step-by-step explanation:
1/10 = 10/100 = 10% (by definition of what percentage is)
Answer:
A) Gradient = -3
B) 3y - x = 7
Step-by-step explanation:
The curve has the equation;
y = x³ - 6x² + 9x + 1
We are given the pints it passes through as;
A(2,3) and P(3, 1)
A) to find the gradient, we will find the derivative of the given equation.
Thus;
Gradient = y' = 3x² - 12x + 9
At point A, x = 2. Thus;
Gradient = 3(2²) - 12(2) + 9
Gradient = 12 - 24 + 9
Gradient = -3
B) since the gradient of the tangent = -3, it means the gradient of the normal will be; -1/-3 = 1/3
Thus, equation of the normal to the curve at point A will be;
(y - 3) = ⅓(x - 2)
Multiply both sides by 3 to get;
3y - 9 = x - 2
3y - x = 9 - 2
3y - x = 7