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
.
Well this is easyyy:) you just need to multiply 4 and 2/7 by 1/2
buttt before we set up our question lets get 4 and 2/7 as an improper fraction
2
4 ----
7
we do that by multipying the 4 and 7 and then adding 2 soo lets do that
4 x 7 = 28
28 + 2 = 30
look we have our numerator!! (the top number)
and we dont have to do anything to the numerator just keep it the same as 7 :) lets look at our new improper fraction
30
------
7
see now we can set up our problem:)
30 1
------ x -----
<span> 7 2
</span>now all we do is multiply across:)
30 1 = 30 x 1 = 30
------ x -----
<span> 7 2 = 7 x 2 = 14
</span>here is our new fraction
30
------
14
wait lets simplify it by dividing each number by 2
30 ÷ 2 = 15
------
<span> 14 </span>÷ 2 = 7
ahh this is better here is our simpified fraction
15
-------
7
or as a decimal it is 2.142857143
either one is the correct answer:)
if this helped you then
MARK ME BRIANLIEST :)
2x = 2 * 3 = 6
6^2 = 6*6 = 36
36 + 3 = 39
Answer: 39
Answer:
the answer is d sorry if im wrong
Answer:
she can purchase 5 cheesecakes
Step-by-step explanation:
15.99*5=79.95
if we add 9.99 for the shipping of thw whole order
79.95+9.99=89.94