X^4-3x³+4x
x^4-3x³+3x+x
(x^4+x)-(3x³-3x)
x(x³+1)-3x(x²-1)
x(x+1)(x²-x+1)-3x(x+1)(x-1)
x(x+1)(x²-x+1-3x+3)
x(x+1)(x²-4x+4)
x(x+1)(x-2)(x-2)
so x intercepts are (0,0), (-1,0) and (2,0)
the y intercept is (0,0)
Answer:
The height is 6 unit
The base is 2 units.
Step-by-step explanation:The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).
Answer:
y = 2/3x +4
Step-by-step explanation:
The y intercept is where the line crosses the y axis
y intercept =4
We can find the slope using two points on the line
(0,4) and (3,6)
m = (y2-y1)/(x2-x1)
= (6-4)/(3-0)
= 2/3
The equation of a line in slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 2/3x +4
Answer:
13
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [2, 6 ]
f(b) = f(6) = 6² + 5(6) - 8 = 36 + 30 - 8 = 58
f(a) = f(2) = 2² + 5(2) - 8 = 4 + 10 - 8 = 6
Hence
average rate of change = 
= 
= 13
