Answer:
Step-by-step explanation:
The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21. The positive nature of the discriminant tells us that there are two real, unequal roots. Following the quadratic formula, we get:
-3 ± √21
x = -----------------
2
Calculate h(1):
h(a) = 2a - 4 → h(1) = 2(1) - 4 = 2 - 4 = -2
Next calculate g(-2):
g(a) = a - 5 → g(-2) = -2 - 5 = -7
<h3>Answer: g(h(1)) = -7</h3>
Answer:
2.38
Step-by-step explanation:
subtract 4.9 on both sides
The number of times the image of the octagon will coincide with the preimage during rotation is determined by:
N = R/C
where
N is the number of times the preimage coincided with the rotated image during rotation
R is the angle of rotation
C is the central angle of the regular polygon
For an octagon, the central angle is
C = 360/8 = 45
So,
N = 360 / 45 = 8
Therefore, the rotated image of the octagon will coincide with the preimage 8 times during rotation.
Hi! hope this helped
B(d) is a function of the number of days d since she opened the account.B(0) is the balance at day=0 now, since the length of segment OA is half of the length of segment OB, and the length of segment OB is proportional to the max balance, namely $400, then the segment OA is proportional to 400/2=200
