Answer:
y = -1/3x + 5
Step-by-step explanation:
-1/3 is the slope because the line goes down 1 unit and right 3 units.
The y-intercept is 5 because that is where the line crosses the y-axis.
Answer:
Cubic polynomial function with zeros 3,3 and -3 is 
Step-by-step explanation:
We need to find a cubic polynomial function with zeros 3,3 and -3.
If zeros of polynomial are: 3,3,and -3
we can write:
x=3, x=3, x=-3
Or
We can write:
x-3=0, x-3=0, x+3=0
Now, we can write them as:
(x-3)(x-3)(x+3)=0
Multiplying the terms, we can find the polynomial:

So, cubic polynomial function with zeros 3,3 and -3 is 
Answer:

Step-by-step explanation:
The equation for exponential decay function is given as:

where:
D(t)= difference in temperature t=time
r=rate of change
a =initial value of the temperature
From the given problem:
Initial Temperature,a=50°C
Rate of Decay,r=
Therefore the function for the difference in temperature is given as:


We can convert
to decimal and write the function as:

For a one-to-one function, f(x) = f(y).
So, lets find f(x) and f(y).
We know,
f(x) = (x - 2)³ + 8
Now,
f(y) = (y - 2)³ + 8
Now, we said earlier, for a function to be one-to-one, f(x) = f(y).
Therefore,
f(x) = f(y)
(x - 2)³ + 8 = (y - 2)³ + 8
(x - 2)³ = (y - 2)³
x - 2 = y - 2
x = y
Since we got x = y, we know for every x, there is one and only one y. Therefore, the function is one-to-one function.
The height of the tree is 75