Answer:
The maximum number of turns is 3
Step-by-step explanation:
The given function is
The degree of this polynomial is 4.
If the degree of a given polynomial is n, then the polynomial has at least n-1 turns.
Therefore the number of turns of this 4th degree polynomial is at least 3.
This is a goofy question, because the method of counting is not very well defined.
23 + 5x + 7y - x - 5 - 27
Let's make everything an addition because addition is associative but subtraction isn't.
= 23 + 5x + 7y + -x + -5 + -27
OK, let's commute a few things
= 5x + 7y + -x + -5 + -27 + 23
= 5x + -x + 7y + -5 + -27 + 23
That's two commutations.
= (5x + -x) + 7y + ((-5 + -27) + 23)
I'll count that as three associations
= (5 + -1)x + 7y + -9
That's a distributive law (in reverse which is fine)
= 4x + 7y - 9
Tallying that's associative law 3 times, commutative law 2 times, distributive law 1 time.
Answer:
7) no 8) no 9) no 10)yes 11) yes 12) yes 13) k=42 14) c=30 15)a=42
Step-by-step explanation:
The intersection is (12,220) so the quantity is 12 and the price is 220
x3+x2+kx-2 And (x-1) is a factor
so,
Substitute +1 in places of only x
(1)*3+(1)*2+k*(1)-2
3+2+k-2
5+k-2
3+k Now, as (x-1) is a factor Equate 3+k to Zero
3+k=0
k=-3
Hope it helped you!!!!!!