Answer:
Step-by-step explanation:
1) we have to solve the associated equation
-16x^2 + 24x + 16 = 0
-2x^2 + 3x + 2 = 0
2x^2 -3x -2 = 0
Δ = 9 + 16 = 25
x1 = (3 + 5)/4= 2
x2 = (3 - 5)/4 =-1/2
the x intercepts are -1/2 and 2
2) a maximum because the parabola opens downwards (the first term is negative)
V(x) = -b/2a = -24/-32 = 3/4
V(y) = -16(9/16) + 24(3/4) + 16 = -9+18 + 16 = 25
V(3/4,25)
3) for draw a parabola is are necessary the coordinates of the vertex and of two points: one that lies to left of the vertex, and one that lies on the right to the vertex.
So we already have the necessary informations to draw it.
Answer:
Step-by-step explanation:
Answer:
806 million years
Step-by-step explanation:
From the information given:
Firstly, we need to determine the no. of ways we can choose n many words in the dictionary & array them in 
ways.
Thus, the no. of unique books possible of length till K is:
where K = 6, we have the value to be:
= 25420530373932821216635722990977
Thus, the time required to write all possible texts of 6 is:
= (25420530373932821216635722990977)/10⁶
≅ 806 million years.
Answer:
log 12 = 1.0791
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the logarithmic function is log12
We will apply the formula
log by = log b + log y
log xⁿ = n log x
<u><em>Step(ii):-</em></u>
log 12 = log 4 × 3
= log 4 + log 3
= log 2² + log 3
= 2 log 2 + log 3 (∵ log xⁿ = n log x)
= 2× 0.3010 + 0.4771
= 1.0791
Answer:
Madhu diposited Rs 20000 in a bank,
Rate=10% per annum compounded half yearly,
Time=
2
3
years.
We know that,
Total amount= Principle+CI
For interest compounded half yearly,
Total amount =P(1+(
200
R
))
2n
=20000(1+(
200
10
))
2×
2
3
=
200×200×200
20000×210×210×210
=22050
Interest=Amount−Principle
=22050−20000
=2050 Rs
Step-by-step explanation:
i hope it helps
