(a) Use the fundamental theorem of algebra to determine the number of roots for 2x^2+4x+7
1 answer:
(a)
the theorem states that for a polynomial of degree n there are n roots. However they may be complex.
2x² + 4x + 7 is a polynomial of degree 2 ( indicated by largest exponent of the polynomial )
Hence there are 2 roots
(b)
To solve use the quadratic formula
x = ( - b ±√(b² - 4ac) ) / 2a
with a = 2, b= 4 and c = 7
x = (- 4 ± √(16 - 56) ) / 4
= (- 4 ± √(- 40 ) ) / 4
= ( - 4 ± 2i√10) / 4
= - 1 ± i√10
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Answer:
Step-by-step explanation:
1). Equation that represents the volume of a cylinder,
V = πr²h
Here, r = radius of the cylinder
h = Height of the cylinder
2). Fromm the given formula of volume,
r(In m) V(In cubic meters)
1 56.55
2 226.19
3 508.94
3). If the radius is doubled from 1 m to 2 m,
At r = 1 m, Volume (V₁) = 56.55 m³
At r = 2 m, Volume (V₂) = 226.19
= 4
Therefore, volume is not doubled when radius of the cylinder is doubled.
Answer:
y=1.2
Step-by-step explanation:
