Hanna bought 85 candies and ate 20 of them. How many candies are left?
Answer:
A. 4
B. 1
Step-by-step explanation:
The degree of a one-variable polynomial is the largest exponent of the variable.
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<h3>A.</h3>
For f(x) = x^4 -3x^2 +2 and g(x) = 2x^4 -6x^2 +2x -1, the sum f(x) +a·g(x) will be ...
(x^4 -3x^2 +2) +a(2x^4 -6x^2 +2x -1)
= (1 +2a)x^4 +(-3-6a)x^2 +2ax -a
The term with the largest exponent is (1 +2a)x^4, which has degree 4. This term will be non-zero for a ≠ -1/2.
The largest possible degree of f+ag is 4.
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<h3>B.</h3>
The polynomial sum is ...
f+bg = (1 +2b)x^4 +(-3-6b)x^2 +2bx -b
When b = -1/2, the first two terms disappear and the sum becomes ...
f+bg = -x +1/2 . . . . . . a polynomial of degree 1
The smallest possible degree of f+bg is 1.
Answer:
x=5
Step-by-step explanation:
u should know this not that hard to do
Answer:
y= 1/4,1/2,1,2,4,8,16,32,64
Step-by-step explanation:
Make negative powers positive by turning them into a fraction so 
is really
= 
so 
is just 
. then 
=1 [any number to the zero power is = 1],
2^1 = 2, 2^2=4, 2^3=8, 2^4=16, 2^5=32, 2^6 = 2x2x2x2x2x2=64
