As is the case for any polynomial, the domain of this one is (-infinity, +infinity).
To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,
The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.
Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).
Answer:
Step-by-step explanation:
Discussion
First draw FH
<FOH and <FGH share the end points of the chord FH
<FOH is a central angle.
<FGH touches the circumference of the circle in the on the same side of the point of angle <FOH is closest to
Therefore <FGH is 1/2 <FOH. That is always true of central angles and the smaller angle touching the circumference that <FOH points to
Conclusion
<FGH = 1/2 < FOH
58 = 1/2 <FOH
Therefore <FOH = 2 * 58 = 116
y = < FOH
Answer
y = 116
Answer:
2600 into the account earning 1% interest
2400 into the account earning 6% interest
Step-by-step explanation:
let x= account earning 1% interest
y= account earning 6% interest
we can write
x+y=5000 (equation 1)
.01x+.06y=170 (equation 2)
mulitply equation 1 by .01
.01x+.01y=50
subtract this from equation 2
(.01x+.06y)-(.01x+.01y)= 170-50
.05y= 120
y= 2400
Plug in y= 2400 into equation 1
x+2400=5000
x=2600
