Answer:
-1
Step-by-step explanation:
See the attachment for the polynomial long division. The constant in the quotient is -1.
_____
Here, there is a remainder of -x. If there were no remainder the constant in the quotient is the ratio of the constant in the dividend to the constant in the divisor: -2/2 = -1.
That could be a first guess in a "guess and check" solution approach.
<em>Guess</em>: first term of binomial quotient is (2x^3)/x^2 = 2x; last term of binomial quotient is -2/2 = -1. So, the quotient is guessed to be (2x -1).
<em>Check</em>: (2x -1)(x^2 -x +2) = 2x^3 -3x^2 +5x -2
Subtracting this from the actual dividend gives a remainder of -x. This has a lower degree than the divisor, so no further adjustment of the quotient is required.
Answer:
10.2 gallons
Step-by-step explanation:
Answer:
4/93 or 0.04301075...
Step-by-step explanation:
Reduce the expression by cancelling the common factors
(Hard) A composite number n is called a Carmichael number bn−1 ≡ 1 (mod n) for every number b such ... Base case: When n = 2 the formula a + c ≡ b + d (mod m) was already given. ... The sequence goes 1, 3, 7, 15, 31,... guess that it is equal to 2n+1 − 1. ... Prove (now using induction on n) that fm|fmn for all n ≥ 1.
Hey there! :)
Answer:
y = x - 3.
Step-by-step explanation:
Given:
Slope = 1
Point on line: (8, 5)
Plug these into the formula y = mx + b, where:
m = slope
x = x coordinate of point
y = y coordinate of point
5 = 1(8) + b
5 = 8 + b
Subtract both sides by 8:
5 - 8 = 8 -8 + b
-3 = b
Rewrite the equation:
y = x - 3.
