Answer:
hello :
60x² – 155x + 100 = 5 ( 12 x² - 31 x + 20 )
delta of ( 12x² - 31 x + 20 ) is b² - 4ac when : a = 12 b = -31 c = 20
delta = ( - 31 )² - 4(12)(20) = 961 - 960 = 1
x1 = (31-1)/24 = 30/24 = 5/4
x2 = (31+1)/24 = 32/24 = 4/3
Factor 60x2 – 155x + 100 = 5 (12(x -5/4)(x- 4/3)) = 60 (x -5/4)(x- 4/3)
Answer:
(2n + 7) (2n +7)
Step-by-step explanation:
To solve this problem we need to factorize 4n^2 + 28n +49 as shown below

thus, after factorization we see that first option is correct one
(2n + 7) (2n +7)
we can validate this by expanding it
2n (2n +7) + 7 (2n+7)\
=> 4n^2 + 14n + 14n + 49 = 4n^2 + 28n +49 (which is equal to the problem stated expression)
Answer:
18
Step-by-step explanation:
Do
to get 30.
Do
to get -12.
Do
to get 18.
18 is the answer.
The annual interest rate is 3.5%.
Solution:
Given Interest (I) = $26.25
Principal (P) = $500
Time (t) = 18 months
Rate of interest (r) = ?
Time must be in years to find the rate per annum.
1 year = 12 months
Divide the time by 12.
Time (t) =
years
Now, find the rate of interest using simple interest formula.
<u>Simple interest formula:</u>






⇒ r = 3.5%
Hence the annual interest rate is 3.5%.