Answer: 70.8%
56 divided by 79= 0.708
0.708x100=70.8
I'll use t for the messages Teresa sent, e for messages Eric sent, and r for messages Ryan sent.
Therefore we have, t+e+r=99.
From the text we also know:
e=3r ; r=t+6
If we substitute in the original equation we get:
t+3(t+6)+t+6=99; By simplifying it we get
5t=75 , therefore t=75/5=15.
Since Teresa send 15 messages,Ryan sent 6 more then here, so he send 21. Eric sent three times the
messages Ryan sent so he sent 63 messages. If we add them together 15+21+63, we get the total of 99 messages.
Population this year = 250 × 125/100= 313(approximately)
The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***
f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).
