Answer:
P' = (-4,2)
Q' = (-2,5)
R' = (-1,-4)
S' = (-6,-1)
Step-by-step explanation:
That’s not math that’s a bunch of bull shi!t
Domains: 7, -7, 1, 3
Ranges: 3, -5, -2, -9
It is a function because all of the domains are different numbers. If they were the same then this would not be a function.
By the Hinge Theorem, we know that
Angle ABD > Angle DBC
The "hinge" can be thought of the angle. A door opens and closes, which is attached to the hinge. The more the door opens, the larger the angle is. The value 11 is larger than 8, so the "door" so to speak is wider in angle. The larger the opposite side from an angle, the larger the angle itself.
So when comparing the two angles 58 and (5x+3), the 58 degree angle is larger.
58 > 5x+3
58-3 > 5x
55/5 > x
11 > x
x < 11
At the same time, the angle DBC can't be negative or zero, so
5x + 3 > 0
5x > -3
x > -3/5
-3/5 < x
Together -3/5 < x and x < 11 combine to the answer of -3/5 < x < 11
This means x can be any number between -3/5 and 11; however, x cannot be equal to -3/5, nor can it be equal to 11
Answer:
A) The annual multiplier was 1.0339; the annual increase was 0.0339 of the value.
B) 3.39% per year
C) $182,000
Step-by-step explanation:
A) Let's let t represent years since 1987. Then we can fill in the numbers and solve for r.
165000 = 100000(1 +r)^15
1.65^(1/15) = 1 +r . . . . . divide by 100,000; take the 15th root
1.03394855265 -1 = r ≈ 0.0339
The value was multiplied by about 1.0339 each year.
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B) The value increased by about 3.39% per year.
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C) S = $100,000(1.03394855265)^18 ≈ $182,000
