Answer:
P(x) =x³-4x²-31x+70
Step-by-step explanation:
The function is expressed as:
P(x) = (x+5)(x-2)(x-7)
P(x) =(x²-2x+5x-10)(x-7)
P(x) = (x²+3x-10)(x-7)
P(x) = x³-7x²+3x²-21x-10x+70
P(x) =x³-4x²-31x+70
Hence the polynomial is P(x) =x³-4x²-31x+70
Answer:
4 1/12
Step-by-step explanation:
2 1/3 x 1 3/4 = 7/3 x 7/4 = 49/12 = 4 1/12
Answer:
<h2>65°</h2>
Step-by-step explanation:
Complementary means that the two angles add to 90 degrees. Since we know the measure of one angle, we will subtract 25 from 90 to get 65 degrees for angle 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