Answer:
14x + x^2
------------------
9x^2
Step-by-step explanation:
2x /x^2 + (x-4)/ 9x
Cancel the common factor of x in the first term
2 /x + (x-4)/ 9x
We need a common denominator of 9x
2 /x *9/9 + (x-4)/ 9x
18/9x + (x-4)/9x
Add the numerators
18+x-4
--------------
9x
14+x
----------
9x
Multiply the top and bottom by x to get it to match one of the answers
14x + x^2
------------------
9x^2
Note: It the given equation the coefficient of must be -16 instead of 16.
Given:
Consider the height of the water balloon over time can be modeled by the function
To find:
The maximum height of the water balloon after it was thrown.
Solution:
We have,
Here, leading coefficient is negative. So, it is a downward parabola and vertex of a downward parabola, is the point of maxima.
If a parabola is , then
Here, . So,
Now, put x=5 in the given equation.
The vertex of the given parabolic equation is (5,450).
Therefore, the maximum height of the balloon is 450 units after 5 units of time.
It raises the x^2 up by k units
a vertical translation of k units
Answer:
-2.
Step-by-step explanation: Since you are going left its a negative slope.
<span>Mixed numbers from 6 to 7 with an interval of 1/5 between each pair of mixed numbers are {6 1/5, 6 2/5, 6 3/5, 6 4/5}</span>