Given:
The given function is:
To find:
The range of the given function.
Solution:
We have,
It is a quadratic function because the highest power of the variable x is 2.
Here, the leading coefficient is -32 which is negative. So, the graph of the given function is a downward parabola.
If a quadratic function is 
, then the vertex of the quadratic function is:
In the given function, 
.
The value of the given function at 
is:
The vertex of the given downward parabola is 
. It means the maximum value of the function is . So,
![Range=\left(-\infty, \dfrac{2121}{32}\right ]](https://tex.z-dn.net/?f=Range%3D%5Cleft%28-%5Cinfty%2C%20%5Cdfrac%7B2121%7D%7B32%7D%5Cright%20%5D)
Therefore, the range of the given function is ![\left (-\infty, \dfrac{2121}{32}\right ]](https://tex.z-dn.net/?f=%5Cleft%20%28-%5Cinfty%2C%20%5Cdfrac%7B2121%7D%7B32%7D%5Cright%20%5D)
.
k=73. All the angles in any triangle must add up to 180.
The percentage error can be calculated using the following rule:
% error = difference between values / accepted value
From the givens:
The accepted value = 40%
Difference between values = 40% - 37% = 3%
Substitute in the equation to get the percentage error as follows:
% error = (3/40) * 100 = 7.5%
Answer:
(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12 (multiply the binomials)
(x + 2) (x + 3) = x² + 5x + 6 = 12
(x + 2) (x + 3) = x² + 5x + 6-12 = 0 (add the like term and bring the positive 12 to the other side which makes it negative)
x² + 5x + 6 = 0
Using the snowflake method - (finding the factors of 6 that adds/subtracts to give you 5).
This method will give you the factors (x + 6)(x - 1)
ZERO PROPERTY RULE:
(x + 6) = 0
x = -6
(x - 1) = 0
x = 1
The two solutions to the equation are -6 and 1.
I have no clue. This is because I honestly want more points. So yea thank you for understanding.
