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Andreyy89
2 years ago
10

4 (x - 1) = }(12x – 3)

Mathematics
1 answer:
slamgirl [31]2 years ago
4 0

Answer:

x= -1/8

Step-by-step explanation:

try using symbolab

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A piece of cardboard is 13 inches by 26 inches. A square is to be cut from each corner and the sides folded up to make an open-t
Vanyuwa [196]

Answer:

Hence the maximum possible volume will be the 778.53 c.c

Step-by-step explanation:

Given:

A rectangle with 13 x 26 dimensions

And corners are cut to form side squares.

To Find:

Maximum possible volume for box

Solution :

Consider a rectangle of 13 x 26 dimension with and side of square  at corner be x.

(Refer the attachment)

Now,

Formulating the volume equation for the box

So corner square sides we are going to fold up which makes height of the box

and remaining part will be length and breadth

As shown in fig,

Length=26-x

breadth=13-x

And height will be x

V(x)=x*(26-x)*(13-x)

To get maximum volume differentiate the above equation,

V(x)=x*(26*13-26*x-13*x+x^2)

V(x)=x^3-39x^2+338x\\

V'(x)=3x^2-78x+338

V''(x)=6x-78

Now ,Solve the Quadratic Equation to get x values,

3x^2-78x+338=0

x=[-b±(b^2-4ac)^1/2]/2a

x=[78±Sqrt[(78)^2-4*338*3)]/2*3

x=[78±Sqrt(3028)]/6

x=[78±55.027]/6

x=78+55.027/6 or x=78-55.027/6

x=22.17  or x=3.8288

Use these values in 6x-78 to know which value posses the max and min value for the function.

So when x=22.17

6x-78=6*22.17-78

=55.02>0  i.e function will have minimum value .

When x=3.8288

6*3.8288-78

=-55.0272<0 i.e. Function will have maximum value

Now, the function will defines the maximum volume

V(x)=x^3-39x^2+338x

V(x)=3.8288^3-39*(3.82883)^2+338*3.8288

V(x)=56.13-571.73+1294.13

V(x)=778.53 C.C

6 0
3 years ago
Factor the trinomial<br> 10x^2+11X-6
yan [13]

Answer:

Not factorable with rationable numbers

Step-by-step explanation:

You cannot factor this expression with rationable numbers.

6 0
2 years ago
Read 2 more answers
what is an equation to represent for (Andre withdrew spending money from his checking account that initially had $982. What was
Paul [167]

Answer:

The Answer is w - 982 = 922 because it whatever money he took from the 982 lead to 922

Step-by-step explanation:

6 0
2 years ago
Geri ran in a marathon race. It took her 3 hours and 28 minutes to run 26 miles. How many minutes did it take her to run 1 mile
nadya68 [22]

1 hour = 60 minutes, so 3 hours = 3 * 60 = 180 minutes.

Her total time was 3 hours and 28 minutes, so 180 + 28 = 208 minutes.

Divide her total time by total miles run:

208 minutes / 26 miles = 8 minutes per mile.

5 0
3 years ago
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A method for finding the volume of any solid for which cross sections by parallel planes have equal area is called
goldenfox [79]
The answer is D, Cavalieri's Principle 
3 0
3 years ago
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