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slega [8]
3 years ago
7

An open box is to be made from a flat piece of material 14 inches long and 6 inches wide by cutting equal squares of length xfro

m the corners and folding up the sides. Write the volume Vof the box as a function of x. Leave it as a product of factors, do not multiply out the factors.
Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

f(x)=x(14-2x)(6-2x)

Step-by-step explanation:

We are given that

Length of flat piece of material=14 in

Width of flat piece of material=6 in

We have to find the volume of box as a  function of x.

An open box is made from flat piece of material by cutting equal squares of length x from the corner and folding up the sides.

Therefore, Height of box=x in

Length of box=14-2x in

Width of box=6-2x in

We know that volume of box=length\times breadth\times height

Using the formula

Volume of box=f(x)=x(14-2x)(6-2x)

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3. Factor.
sleet_krkn [62]
It seems that some the work is already here, but I'd be glad to!! So for #3 which is 9x^2+15x, we can factor out both a 3 and an x (3x) so we know that 3x * 3x =9x^2 and 3x * 5 = 15x so once we take the 3x out of the equation, we are left with 3x(3x+5) and that's as far as you can factor.
For #4, we see that the common factor is 10m because 10m * 2n = 20mn and 10m * 3 = 30m so once we take 10m out of the original, it becomes 10m(2n-3)
For #5, this one the common factor is 4xy because 4xy * 2xy=8x^2y^2 and 4xy*x= 4x^2y and 4xy*3=12xy so once we take the 4xy out of the equation, it becomes 4xy(2xy-x-3)
Hope this helps!
5 0
3 years ago
Help!!!
nordsb [41]

Answer:

1 1/5 per person.

Step-by-step explanation:

You have to evenly divide the 6 funnel cakes among 5 people, so the equation you have to use is division.

  5/6

= 1 1/5

6 0
3 years ago
Which function would be produced by a horizontal stretch of the graph of y =
notka56 [123]

Answer:

the answer to you question is c

Step-by-step explanation:

7 0
3 years ago
At the movies, you order 3 boxes of popcorn and a bottle of water. The cost of the bottle of water Is $1.75. Your total is $9.25
Phoenix [80]
If popcorn is p and water is w the equation can be written as

3p + w = 9.25

because there was 3 boxes of popcorn and one water (hence the coefficients) and the total is 9.25

then plug in 1.75 for w the price of water:

3p+ 1.75 = 9.25

you can move stuff around algebraically now (subtract 1.75 on both sides and divide by three on both aides) to get the cost of one box of popcorn (p).

The answer is 2.50
8 0
3 years ago
Is the expression 2f + 4f + 2 – 3 equivalent to 6f – 1? 6f – 1 evaluated at f = 9 is 53. 2f + 4f + 2 – 3 evaluated at f = 9 is a
morpeh [17]
We have that

the expression 2f + 4f + 2 – 3-------> we can group it   (2f+4f)+(2-3)
(2f+4f)+(2-3)=(6f-1)
therefore
the expression [2f + 4f + 2 – 3] is equivalent to [6f-1]

if the expression [6f-1] for f=3 is 17
then
the expression [2f + 4f + 2 – 3] for f=3 is also 17

<span>let's check it
</span>[2*3 + 4*3 + 2 – 3]--------> [6+12+2-3]=[20-3]=17------> is ok
6 0
3 years ago
Read 2 more answers
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