It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.
The simplest polynomial with these characteristics would be
but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with
which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:
1.2% x 12 months (1 year) = 14.4%
Answer:
A= 41° a=9.84... b=11.32...
Step-by-step explanation:
given B = 49° and C = 90°
and A + B + C = 180
so 49+90+A=180
A= 41°
we also know c (small) is 15 units
and maybe you know this SOH CAH TOA? no, i'm not calling anyone names :P this is just the mnemonic to memorize how sin , cos and tan fit sin(Ф)=Opp/Hyp Cos(Ф)=Adj/Hyp Tan(Ф)=Opp/Adj
Hyp is the hypontenuse of the triangle ( the long side). Opposite (Opp) means the side opposite from what ever angle you are starting at..adjacent (Adj) means what ever angle is next to where you are starting from.
use Cos(49) to find the side a
a is an adjacent side to the 49 angle. We know the Cos and we know the Hyp .. so solve for adj...
Cos(Ф)=Adj/ Hyp
Hyp*Cos(Ф)=Adj
15*Cos(49)= Adj
9.84...=Adj=a
now lets' use sin for the opposite side or b
sin(Ф)=Opp/Hyp
Hyp*Sin(Ф) = Opp
15*sin(49)= Opp
11.32...= Opp =b
Answer:
y>= 2/3(x) - 2.5
Step-by-step explanation:
The sign should be "greater than or equal to" but my keyboard doesn't have that. Sorry.
The slope is "up two, over three" found by finding places where the line passes through the grid lines, and counting.
The y-intercept is -2.5. That tells you the "constant" to put in for "b" in the slope intercept form, y=mx+b
