a rectangular prism has a volume 4x³+30×²+36x, what linear expressions can represent possible dimensions of the prism

Answers

Answer 1

Answer: $4x^3+30x^2+36x=2x(2x^2+15x+18)=2x(2x^2+3x+12x+18)=\n\n=2x[x(2x+3)+6(2x+3)]=2x(2x+3)(x+6)\n\nthe\ possible\ dimensions\ of\ the\ prism:\n\na=2x,\ \ b=2x+3,\ \ c=x+6\n\n \ \ and\ \ \ x \neq 0,\ x \neq - (3)/(2),\ x \neq -6$

Related Questions

Each pair of polygons is similar. Determine the transformations taht map one figure onto the other. Then find the missing side measures.
In a recent NFL game, the Green Bay Packers scored 14 points less than the tennessee titans. Write and solve an equation to find the total points the Tennessee titans scored?
What does x equal in the equation 15+3|5x-10|=24 ???
Eleanor and max used two rectangular wooden boards to make a set for the school play.one board was 6 feet long and the other board was 5 and 1/2 feet long. the two boards had equal widths .The total are off the set was 60 3/8 square feet.What was the width??
Which of the following rotations will produce a 12-sided polyhedron? ANSWERS: Rotating a 12-gon about a vertical axis running along one side Rotating a 12-gon about a vertical axis passing through the center No rotation will produce a polyhedron. The solids of rotation are non-polyhedral. Rotating a 12-gon about a horizontal axis passing through the center

kimi is playing hide-and-seek with Tommy and Manuel. Tommy is hiding 12 feet south of Kimi, and Manuel is hiding due east of Tommy. If Kimi is 20 feet from Manuel, how far apart are Tommy and Manuel?

Answers

Answer:

Tommy and Manuel are 16 ft apart

Step-by-step explanation:

The locations of all three players are shown in the image below

They form a right triangle where the hypotenuse is 20 ft, and one of the legs is 12 ft. We must find the other leg.

We must use Pythagoras's theorem. Being a and b the legs of a right triangle and c its hypotenuse, then

$c^2=a^2+b^2$

Knowing c and one of the legs, say b:

$a^2=c^2-b^2$

Using the values c=20, b=12 we find

$a^2=20^2-12^2=400-144=256$

$a=√(256)=16$

So, Tommy and Manuel are 16 ft apart

What is the approximate volume of the sphere? Use 3.14 to approximate pi and round the answer to two decimal places if needed.5mm

A.

1570 mm3

B.

523.33 mm3

C.

392.50 mm3

D.

166.67 mm3

Answers

D 166.67 mm3 ive had this question

Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Three years ago, her collection was worth $500,000. Two years ago, the value of the collection was $550,000 and last year, the collection was valued at $605,000.Assume that the rate at which Madame Pickney’s art collection’s value increase remains the same as it has been for the last three years. The value of the art collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence.
Write an explicit rule which can be used to determine the value of her art collection n years after that. Use this to determine the value of her collection 10 years after she started tracking its worth rounded to the nearest dollar.

Answers

Answer:

Value = 500000 × (1.1^n)

$1,296,871

Step-by-step explanation:

a = 500000

r = 550000 ÷ 500000 = 1.1

1st term is the initial year:

n years after that is the "n+1"th term

Value = 500000 × (1.1^n)

n = 10

500000(1.1¹⁰)

1,296,871.23005

Peter uses unit cubes to build a figure in the shape of letterX.What is the fewest unit cubes that Peter can use to build the figure

Answers

5 unit cubes you would put them corner to corner like this:
X. X
X
X. X

Hope this helps!

I agree. Five cubes. x x
x
x x

Himpunan A={p,q}
Berapakah banyaknya himpunan bagian dari A??

Answers

Maaf,soal yang anda buat itu salah
jika saya menjawab soal di atas tidak masuk akal.contoh membuat soal:
diketahui,w ={kumpulan huruf pembentuk kata batal}.tentukan banyaknya himpunan bagian w yang memiliki 2 anggota
Penyelesaian
w=b,a,t,l=4
:4!/(4-2)!×2!
4×3×2!/2!×2×1
12/2
6

Sam solved the following problem:-4x + 5 > 29
-4x + 5 - 5 > 29 - 5
-4x > -24
-4x/-4 > -24/-4
x > 6

What were his two mistakes?