X^4+ 3x^3+4x^2-8 | x+2 = x^3+x^2+2x-4
-x^4-2x^3
-----------------------
x^3+4x^2-8
-x^3-2x^2
-------------------------
2x^2-8
-2x^2-4x
--------------
-4x-8
4x+8
----------------------------
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is a factor because (x+2)(x^3+x^2+2x-4)=x^4+3x^3+4x^2-8
Answer:
y = 2x -5
Step-by-step explanation:
Given points: (0,-5) (1,-3)
(x1, y1) = (0,-5)
(x2, y2) = (1,-3)
Calculate the slope:
m = (y2 - y1)/(x2 - x1)
m = [-3 - (-5)] / [1 - 0]
m = (-3 + 5) / 1
m = 2/1 = 2
Next, the y-intercept is the value of y when x = 0. One of your given points is the y-intercept, (0, -5). The y-coordinate is the value of b.
Therefore, the linear equation is: y = 2x -5
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Let x be the jug, 
for half-filled, y for the weight of the jug when empty.
∵ x + y = 2.6 kg
∵ x = 4 kg
∴ ⋅ 4 + y = 2.6 kg
∴ 2 + y =2.6 kg
∵ y = 2.6 - 2 = 0.6 kg
∴ The weight of the empty jug = 0.6 kg
Answer:
2...........................
Answer:
7680
Step-by-step explanation:
16(24)20
7680
