The required steps are explained below to convert the quadratic function into a perfect square.
<h3>What is the parabola?</h3>
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
Let the quadratic function be y = ax² + bx + c.
The first step is to take common the coefficient of x². We have
Add and subtract the half of the square the coefficient of x,
Then we have
These are the required step to get the perfect square of the quadratic function.
More about the parabola link is given below.
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Answer:
There are none.
Step-by-step explanation:
<u>No calculus involved:</u>
The line, in slope-intercept form, has equation 
, ie is always decreasing (easy to spot applying the definition)
Meanwhile, 
is always increasing over its domain.
At no point the tangent will be decreasing.
<u>Let's use calculus</u>
We are to solve the equation 
which has no real solutions.
Answer:
The equation is p = (8/3) t + 24
In 2020, we will have about 48 horses.
Step-by-step explanation:
In 3 years the family increased by 32 - 24 = 8.
So the constant of proportionality = 8/3.
The required equation is p = (8/3)tx + 24
where p = the population and t is the number of years after 2011.
So in 2020 we can predict that in 2020 the number of horses
= (8/3) * 9 + 24
= 72/3 + 24
= 24 + 24
= 48.
The large rectangle is 3 times 6 but theres two so its 2 x 3 x 6
the medium rectangle is 2 times 6 but again there is two so 2 x 2 x 6
the small rectangle is 2 times 3 and once more there is two so 2 x 2 x 3
