Answer:
1. k=0
2. yes, result is still a polynomial.
3. yes, f and g must have the same degree to have deg(f+g) < deg(f) or deg(g)
Step-by-step explanation:
1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x)
for k=0 any polynomial f(x) will reduce f(k) to the constant term.
2. If we multiply a polynomial by a constant, is the result a polynomial?
Yes, If we multiply a polynomial by a constant, the result is always a polynomial.
3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?
Yes.
If
deg(f+g) < deg(f) and
deg(f+g) < deg(g)
then it means that the two leading terms cancel out, which can happen only if f and g have the same degree.
Answer: The price for the gloves were $5 each and the price of the hats were $7 each.
Step-by-step explanation:
2g + 4h = 38 solve by elimination
3g + 5h = 50
-3(2g + 4h) = 38(-3) -6g -12h= -114
2 (3g + 5h)= 50(2) 6g + 10h =100
0 + -2h= -14
h= 7
-6g -12(7)=-114
-6g -84 = -114
+ 84 +84
-6g =-30
g= 5
Answer:
4 pairs cost $64
Step-by-step explanation:
16*4=64$
Answer:
(15x- 20) x squared
Step-by-step explanation:
Answer:
$3,550 dollars
Step-by-step explanation:
6.4% off savings
- a total of $2,400