3. There were 6987 people in a village in the year 2009.
1 answer:
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Answer:
Step-by-step explanation:
We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is
where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)
Solving first for a:
. Sine anything in the world raised to a power of 0 is 1, we can determine that
a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:
. Since b to the first is just b:
1.5 = 3b so
b = .5
Filling in our model:
Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.
The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4
<u>Solution:</u>
We have been given a cubic polynomial.
We need to find the three roots of the given polynomial.
Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.
This gives us:
----- eqn 1
So, from the above eq1 we can find the first root of the polynomial, which will be:
x = 0
Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:
we have to use the quadratic equation to solve this polynomial. The quadratic formula is:
Now, a = 1, b = 7 and c = 12
By substituting the values of a,b and c in the quadratic equation we get;
<em><u>Therefore, the two roots are:</u></em>
And,
Hence, the three roots of the given cubic polynomial is 0, -3 and -4
Answer:
Step-by-step explanation:
This equation can simply be solved by adding 15 to both sides.
To graph, draw a closed point at the center of the line and darken the area to the right of it.