Polynomial comes from poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms"
A polynomial can have:
constants (like 3, −20, or ½)
variables (like x and y)
exponents (like the 2 in y2), but only 0, 1, 2, 3, ... etc are allowed
that can be combined using addition, subtraction, multiplication and division ...
... except ...
... not division by a variable (so something like 2/x is right out)
So:
A polynomial can have constants, variables and exponents,
but never division by a variable.
Also they can have one or more terms, but not an infinite number of terms.
These are polynomials:
3x
x − 2
−6y2 − ( 79 )x
3xyz + 3xy2z − 0.1xz − 200y + 0.5
512v5 + 99w5
5
(Yes, "5" is a polynomial, one term is allowed, and it can be just a constant!)
These are not polynomials
3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)
2/(x+2) is not, because dividing by a variable is not allowed
1/x is not either
√x is not, because the exponent is "½" (see fractional exponents)
But these are allowed:
x/2 is allowed, because you can divide by a constant
also 3x/8 for the same reason
√2 is allowed, because it is a constant (= 1.4142...etc)
The algebraic expression would be that Quarters = 25 - W
If n is ten then the expression would change to
2(10)+4
20+4
so your answer would be 24
Supplementary means they add up to 180
angle 1 = x
angle 2 = x + 166
so x + x + 166 = 180
2x = 14
x = 7
so angle 1 = 7 angle 2 = x + 166 = 173
Answer:
25.13274125 in³
Step-by-step explanation:
The radius = 4 ± 0.1
height = 10
Volume of a cylinder = πr²h
Actual volume of the cylinder = π × 4² × 10
= 502.6548246
Maximum volume = π × 4.1² × 10
= 528.1017251
Minimum volume = π × 3.9² × 10
= 477.8362426
Average error = (528.1017251 - 477.8362426)/2
= 50.2654825/2
= 25.13274125 in³
The units are inches cubed.
