Answer:
c) (6,0)
Step-by-step explanation:
The formula to find a slope is y=mx-b where m is the slope (to find the slope you find the change in y and the change in x) which in this case is -3. The change in y is -3 and the change in x is -1. If you put it on a graph the line is going down from left to right and it intersects the y-axis at 18 meaning if you keep sloping down in a straigt line it intersects the x-axis at (6,0).
Answer:
0.75 mg
Step-by-step explanation:
From the question given above the following data were obtained:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Amount remaining (N) =.?
Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Number of half-lives (n) =?
n = t / t₁/₂
n = 6/6
n = 1
Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Number of half-lives (n) = 1
Amount remaining (N) =.?
N = 1/2ⁿ × N₀
N = 1/2¹ × 1.5
N = 1/2 × 1.5
N = 0.5 × 1.5
N = 0.75 mg
Thus, 0.75 mg of the sample is remaining.
Answer:
Step-by-step explanation:
Each point of function b(x) is shifted by rule
x -----> ( x - 2 )
and
y -----> (y + 3)
( - 1.5, 0) ------> (- 3.5, 3)
(- 1, - 1) -----> ( - 3, 2)
(0, - 2) ------> ( - 2, 1)
(1, - 1) -----> ( - 1, 2)
(2, 3) -----> (0, 6)
(4, 7) -----> (2, 10)
......
A composition of reflections across two intersecting lines is a rotation.
I hope helped ^^
