Answer:
(2,9)
Step-by-step explanation:
X midpoint:9+(-5)/2 which gives 2
Y midpoint:3+15/2 which gives 9
The slope of y = 3x is 3, and the slope of y = -3x is well, yes, you guessed it, is -3, same value, just different sign, and when that happens the slopes are just mirroring each other, in this case, the mirror line, line of symmetry, is the y-axis, notice in the picture below.
Answer: x =1/2
y = 
/2
Step-by-step explanation:
Answer:
h(t) = 1.5t²/2 + 4t +12
Step-by-step explanation:
The growth rate is given by
dh/dt = 1.5t + 4
To determine the height of the seedlings we integrate the rate with respect to t.
The integral of dh/dt = integral of 1.5t + integral of 4
The integral of dh/dt = h
The integral of dh/dt = 1.5t²/2 + 4t
So at t = 0
h = 12
That makes the equation
h = 1.5t²/2 + 4t +12
Where 12 is the constant
So h(t) = 1.5t²/2 + 4t +12
Will give us the height after t years
To find the inverse of the the function, it must be arranged in such a way that the independent variable be on the left side and the dependent variable on the right. So,f(x) = y = 3x/ (8 + x)y (8 + x) = 3x8y + xy = 3x8y = 3x - xy8y = x (3 - y)8y / (3-y) = xx = 8y / (3 -y)
Therefore,f-(x) = f(y) = x = 8y/ (3 - y)
