Urgent
1 answer:
You might be interested in
Okay so first we need to find the height ofn one hay barrel. To do this we must use the equations v= h×w×l
We already know 3 out of the 4 variables in the equations, in this case we are given the volume so we must work backwards.
The equation will look like this:
First we must mulitpy 4 and 1 1/3 to get 16/3. The equation will now look like:
Next divide 16/3 from h then from 10 2/3 to get :
The height is 2ft. Finally multiply 2 by the number of hay barrels (8) placed upon each other becuase we're finding the height and you will get your answer of 16 ft in height.
We already know 3 out of the 4 variables in the equations, in this case we are given the volume so we must work backwards.
The equation will look like this:
First we must mulitpy 4 and 1 1/3 to get 16/3. The equation will now look like:
Next divide 16/3 from h then from 10 2/3 to get :
The height is 2ft. Finally multiply 2 by the number of hay barrels (8) placed upon each other becuase we're finding the height and you will get your answer of 16 ft in height.
Recall that the vertex form of a quadratic function (or parabolic function) is equal to
Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.
One concept that we must remember when completing the square is that
(a + b)² = a² + 2ab + b²
So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.
So, going back to the function, we have
Thus, we have derived the vertex form of the function.
Answer: f(x) = (x + 7)² - 9
Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.
One concept that we must remember when completing the square is that
(a + b)² = a² + 2ab + b²
So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.
So, going back to the function, we have
Thus, we have derived the vertex form of the function.
Answer: f(x) = (x + 7)² - 9