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catherineguyen3216
24.03.2020 •
Mathematics
What is 12 x (3 +2) ^2 /2 - 10 equal to?
A. 32
B. 60
C. 140
D. 350
Side note:
When you see this symbol ( ^ ) it represents the placement of the exponent. For example: 5^2 = 5 x 5 = 25
Also, when you see this symbol ( / ) it represents division. For example: 36 / (4 + 5) = 36/ 9 = 4
Solved
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Ответ:
Answer with Step-by-step explanation:
We are given that
Length of flat piece of material =19 inches
Width of flat piece=4 inches
An open box is to be made from a flat piece by cutting equal squares of length x from the corners and folding up the sides
Therefore, length of open box=
inches
Width of open box=![4-2x inches](/tpl/images/0200/0411/fa2d9.png)
Height of box=![x inches](/tpl/images/0200/0411/d7059.png)
Volume of box=![l\times b\times h](/tpl/images/0200/0411/e3ca6.png)
Substitute the values then we get
Volume of box=![x(19-2x)(4-2x)](/tpl/images/0200/0411/51cc9.png)
Because volume of open box is always greater than zero.
Then ,![x 0](/tpl/images/0200/0411/1a075.png)
Substitute
Dividing by 2 on both sides
It means![x\in (0,9.5)](/tpl/images/0200/0411/84f4b.png)
Substitute![4-2x 0](/tpl/images/0200/0411/45ee8.png)
Adding 4 on both sides then we get
Dividing by 2 on both sides
Then,![x\in (0,2)](/tpl/images/0200/0411/e2aa7.png)
Therefore, domain of the box =![(0,2)\cap (0,9.5)=(0,2)](/tpl/images/0200/0411/a8ce5.png)
Then ,a=0 and b=2