ANSWER: B
EXPLANATION:
Perimeter = L + L + W + W
Perimeter = 12 + 12 + 5 + 5
Perimeter = 34
Answer:
2.5e-0.04x = 1.2 + 0.2x
Step-by-step explanation:
Given that:
Insect A:
Initial population, Po = 2.5 million
Rate of decline = 4%
Insect B:
Initial Population (Po) = 1.2 million
Yearly increase = 200,000 = (200,000/1,000,000) = 0.2
For insect A:
P(t) = Po(1 - r)^t = Po*e^-rt
Po*e^-rt = 2.5e^-0.04t ----(1)
For Insect B:
P(t) = Po + (yearly increase) * t
P(t) = 1.2 + 0.2t - - - - - (2)
Equating (1) and (2)
2.5e^-0.04t = 1.2 + 0.2t
Answer:
A = (5,3)
B = Begin at origin, move 3 units in a positive direction along the x-axis, move 4 units in a positive direction parallel to the y-axis
C = (4.5, 6)
D = Begin at origin, Move 0 units along the x-axis, Move 4.5 units in positive direction parallel to the y-axis
Step-by-step explanation:
Answer:
g(x) = - (x² + 3x + 2) = - x² - 3x - 2
Step-by-step explanation:
The graph represents the function f(x) = x² + 3x + 2.
Now, g(x) is the function which is obtained by reflecting f(x) across the x-axis.
While a graph of a function reflects across x-axis then its y-values will change sign for a fixed value of x.
Therefore, the function g(x) will be given by
g(x) = - (x² + 3x + 2) = - x² - 3x - 2 (Answer)
Answer:
Mr.Lin's present age is 30 years now. His son is 8 years old now.
Step-by-step explanation:
Let L = Mr.Lin's present age,
S = his son's present age.
First equation is
L + S = 38. (1)
The second equation is
L + 3 = 3*(S+3) (2) ("In three years' time, Mr.Lin will be three times as old as his son.")
From (1), express S = 38-L and substitute it into (2). You will get
L + 3 = 3*((38-L)+3), or
L + 3 = 114 - 3L + 9,
4L = 114 + 9 - 3,
4L = 120,
L = 30.
