Hello :
<span>this increasing function F(x)=3x because : the slope 3
is positif</span>
Answer:
Solution given:
For finished box
length[L]=36-4-4=28in
breadth [b]=36-4-4=28in
height[h]=4in
Now
volume of square box=l×b×h=28*28*4=3136in³
1.
the <u>v</u><u>o</u><u>l</u><u>u</u><u>m</u><u>e</u><u> </u><u>o</u><u>f</u><u> </u><u>finished</u><u> </u><u>box</u><u> </u><u>i</u><u>s</u><u> </u><u>3</u><u>1</u><u>3</u><u>6</u><u>i</u><u>n</u><u>³</u>
<u>2</u><u>.</u>
if we change the 4 inches into different measurement ,<u>i</u><u>t</u><u>s</u><u> </u><u>m</u><u>a</u><u>x</u><u>i</u><u>m</u><u>u</u><u>m</u><u> </u><u>o</u><u>r</u><u> </u><u>larg</u>est<u> </u><u>volum</u><u>e</u><u> </u><u>i</u><u>s</u><u> </u><u>3</u><u>1</u><u>3</u><u>6</u><u>i</u><u>n</u><u>³</u><u>.</u>
<u>A</u><u>s</u><u> </u><u>v</u><u>o</u><u>l</u><u>u</u><u>m</u><u>e</u><u> </u><u>i</u><u>s</u><u> </u><u>c</u><u>o</u><u>n</u><u>s</u><u>t</u><u>a</u><u>n</u><u>t</u><u>.</u>
We are given with a rectangle whose length is 27 miles , and breadth is (3y + 1) miles and we are asked to find it's area . As , we know that , the area of a rectangle with Length and Breadth , <em><u>L</u></em> and <em><u>B</u></em> is given by <em><u>Area = L × B</u></em> respectively . Now , using this same formula in our question we have ;


Answer:

Step-by-step explanation:
The Universal Set, n(U)=2092


Let the number who take all three subjects, 
Note that in the Venn Diagram, we have subtracted
from each of the intersection of two sets.
The next step is to determine the number of students who study only each of the courses.
![n(S\:only)=1232-[103-x+x+23-x]=1106+x\\n(F\: only)=879-[103-x+x+14-x]=762+x\\n(R\:only)=114-[23-x+x+14-x]=77+x](https://tex.z-dn.net/?f=n%28S%5C%3Aonly%29%3D1232-%5B103-x%2Bx%2B23-x%5D%3D1106%2Bx%5C%5Cn%28F%5C%3A%20only%29%3D879-%5B103-x%2Bx%2B14-x%5D%3D762%2Bx%5C%5Cn%28R%5C%3Aonly%29%3D114-%5B23-x%2Bx%2B14-x%5D%3D77%2Bx)
These values are substituted in the second Venn diagram
Adding up all the values
2092=[1106+x]+[103-x]+x+[23-x]+[762+x]+[14-x]+[77+x]
2092=2085+x
x=2092-2085
x=7
The number of students who have taken courses in all three subjects, 