<span>4x² - 5x + 1 = 0
a = 4; b = - 5, c = 1
</span>Δ = b² - 4.a.c
Δ = (-5)² - 4.4.1
Δ = 25 - 16
Δ = 9
<span>
x = - b </span>± √Δ / 2.a



A. Two real solutions (x' = -1 and x'' = -1/4)
Answer:
8.43 years
Step-by-step explanation:
Given data
Cost price P= $4995
Rate r= 10%
FInal amount A= $2150
The expression for the time/duration is given as
t= ln(A/p)/r
t= ln(2150/4995)/0.1
t= ln(0.430)/0.1
t= 0.843/0.1
t= 8.43
Hence the time it will take is 8.43 years
All points that lie in a given line with a defined equation, they satisfy the equation such that when the values of x and y are substituted they satisfy the given equation.
Substituting values of y and x in the equation y = 14x +4
(8,6), (-8,-5), (-16,0), (-20,1) doesn't satisfy the equation.
therefore in this case there is no point that would lie in the line
2/3 of 30 9/10 = (30*10 + 9)/10 = 309/10 kilograms of glass is blue or there are:
(2/3)(309/10) = (2*309)/(3*10) = (2*103)/10 = 206/10 = 10.6 kg of blue glass.