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3 years ago

Learning task 1 identify if the if the given equation is a polynomial equation or not

Mathematics

1 answer:

Klio2033 [76]3 years ago

7 0

Answer:

In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

Step-by-step explanation:

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Julie is drawing a map of the town. She knows that City Hall is 3 miles

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1.5 inches should be right

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3 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

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3 years ago

Part A: Find the GCF of 56 and 96. It is 8, already did this

enot [183]

Question: Part A: Find the GCF of 56 and 96. It is 8, already did this

Part B: Using the GCF you found in Part A, rewrite 56 + 96 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work.

Answer & explanation: Quick-Start Guide. When you enter an expression into the calculator, the calculator will simplify the expression by expanding multiplication and combining like terms. This website will help you out, I think! https://wpblog.wyzant.com lessons Expression Factoring Calculator – Wyzant Lessons

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4 years ago

Learning task 1 identify if the if the given equation is a polynomial equation or not​

Learning task 1 identify if the if the given equation is a polynomial equation or not