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:
Melody have now $27.75
Step-by-step explanation:
We will proceed to solve the problem in parts so that it can be better understand
so
1) Originally Melody had $45
2) She spent $32.75 on a blouse
so
In this moment Melody has --------> $45-$32.75=$12.25
3) Her mother gave her $15.50
so
In this moment Melody has --------> $12.25+$15.50=$27.75
therefore
Melody have now $27.75
Answer:
'b' and 'c' = 119 degrees
Step-by-step explanation:
Given that this is a basic intersection of straight lines, we can assume 'b' and 'c' are equal as well as the given angle and it's opposite. Given 61 degrees and and two straight lines we can just take 180 degrees - 61 degrees and we get 119 degrees, I solved for 'b', but this will give the same answer for 'c', as 'b' and 'c' are equal.
Answer:
9 units²
Step-by-step explanation:
Area of triangle= ½ × base × height
The base here is 3 units and the height is 6 units.
Area of traingle
= ½(3)(6)
= 9 units²
Answer:
1/4 cups of juice
Step-by-step explanation:
1 cup of juice --- 4 cups of water
x cups of juice --- 1 cup of water
1/x = 4/1
1/x = 4
x = 1/4
