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3 years ago

What is the factored form of x3 + 216?

Mathematics

2 answers:

dem82 [27]3 years ago

8 0

Answer:

now using the formula (a-b) (a2+ab+b2)=a3-b3

=>x3-63

x3-216#answer

masha68 [24]3 years ago

3 0

Answer:

x2 – 10x + 25

x2 + ⇒ 12x + 36

x2+1/2x+ 14 

Step-by-stepexplanation:

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A pool is being drained at a rate of 120 gallons per minute. what is this rate in quarts per hour?

mario62 [17]

So,

120 gal./min.

There are 4 qt. in a gal.

Multiply 120 by 4.
120(4) = 480 qt.

The pool is being drained at a rate of 480 qt./min.

Now, since there are 60 min. in an hr., multiply 480 by 60.
480(60) = 28,800 qt./hr.

The pool is being drained at a rate of 28,800 qt./hr. (quarts per hour)

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4 years ago

By inspection, state whether the following system has one, none, or infinitely many solutions.

AysviL [449]

Answer:

One solution

Step-by-step explanation:

By inspection, you can see that adding either 3x or 4x to y yields the same result of 7, meaning that x must be 0. If x is 0, y must be 7, meaning that this equation has only one solution. Hope this helps!

4 0

3 years ago

Read 2 more answers

The box plots show the average wind speeds, in miles per hour, for two different islands.

Snowcat [4.5K]

the answer would be 240 because wind speed is close to its median

4 0

2 years ago

Polynomial of degree 3 with three distinct real zeros and a positive leading coefficient

horsena [70]

Conjugate. i hoped that helped

7 0

3 years ago

Which shows the dimensions of two rectangular prisms that have volumes of 240 ft3 but different surface areas?

bulgar [2K]

Calculate the volume and surface areas of both rectangular prisms for each option.

A:

Rectangular Prism #1
$\sf V=lwh$
$\sf V=(8)(5)(6)=240~ft^3$

$\sf A=2((8)(5)+(6)(5)+(6)(8))$
$\sf A=236~ft^2$

Rectangular Prism #2
$\sf V=lwh$
$\sf V=(5)(6)(8)=240~ft^3$

$\sf A=2((5)(6)+(8)(6)+(8)(5))$
$\sf A=236~ft^2$

This is incorrect, they have the same volume of 240 cubic feet and the same surface areas.

B:

Rectangular Prism #1
$\sf V=lwh$
$\sf V=(8)(5)(6)=240~ft^3$

$\sf A=2(wl+hl+hw)$
$\sf A=2((8)(5)+(6)(5)+(6)(8))$
$\sf A=236~ft^2$

Rectangular Prism #2
$\sf V=lwh$
$\sf V=(10)(8)(3)=240~ft^3$

$\sf A=2(wl+hl+hw)$
$\sf A=2((10)(8)+(3)(8)+(3)(10))$
$\sf A=268~ft^2$

$\boxed{\sf Correct~Answer}$ : Both have the same volume of 240 cubic feet, but different surface areas.

C:

Rectangular Prism #1
$\sf V=lwh$
$\sf V=(15)(8)(2)=240~ft^3$

$\sf A=2(wl+hl+hw)$
$\sf A=2((15)(8)+(2)(8)+(2)(15))$
$\sf A=332~ft^2$

Rectangular Prism #2
$\sf V=lwh$
$\sf V=(6)(4)(15)=360~ft^3$

$\sf A=2(wl+hl+hw)$
$\sf A=2((6)(4)+(15)(4)+(15)(6))$
$\sf A=348~ft^2$

This is incorrect, they have different surface areas, but only Rectangle #1 has a volume of 240 cubic feet.

D:

Rectangular Prism #1
$\sf V=lwh$
$\sf V=(12)(6)(5)=360~ft^3$

$\sf A=2(wl+hl+hw)$
$\sf A=2((12)(6)+(5)(6)+(5)(12))$
$\sf A=324~ft^2$

Rectangular Prism #2
$\sf V=lwh$
$\sf V=(8)(10)(3)=240~ft^3$

$\sf A=2(wl+hl+hw)$
$\sf A=2((8)(10)+(3)(10)+(3)(8))$
$\sf A=268~ft^2$

This is incorrect, they both have different surface areas but only Rectangle #2 has a volume of 240 cubic feet.

5 0

4 years ago