9514 1404 393
Answer:
-2cos²(x) +3cos(x) -1
Step-by-step explanation:
Use the "Pythagorean identity" to replace sin²(x).
sin²(x) +cos²(x) = 1
Then ...
2sin²(x) +3cos(x) -3 = 2(1 -cos²(x)) +3cos(x) -3
= -2cos²(x) +3cos(x) -1
We know for our problem that the zeroes of our quadratic equation are

and

, which means that the solutions for our equation are

and

. We are going to use those solutions to express our quadratic equation in the form

; to do that we will use the <span>zero factor property in reverse:
</span>



<span>
</span>



<span>
Now, we can multiply the left sides of our equations:
</span>

<span>= </span>

=

=

Now that we have our quadratic in the form

, we can infer that

and

; therefore, we can conclude that

.
The width would be 236 and the lengths would be 118
Use the equations 2L+W=472 and W*L=MAX
Change the first equation to W=472-2L and plug this into the other equation
(472-2L)(L)=MAX
472L-2L^2=M (take derivative)
472-4L=0 (set to 0 to find the max value)
4L=472
L=118
Plug into original to get W=236
Hope this helps!
Answer:
Muscles Gym: 13.33
Energy Gym: 15.00
Step-by-step explanation:
Muscles Gym: You divide "40.00" by "3", which will then give you the answer of "13.33".
Energy Gym: You divide "93.00" by "6", which will then give you the answer of "15.50".
You then add the zero to show the proper number of cents after the decimal point.
I hope this helps!