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fredd [130]
2 years ago
11

18x3 + 6x2y - 9x2 - 3xy factor completely

Mathematics
1 answer:
lutik1710 [3]2 years ago
7 0

Answer:

\sf 3x(3x+y)(2x-1)

Step-by-step explanation:

Given expression:

\sf 18x^3 + 6x^2y - 9x^2 - 3xy

Factor out common term \sf 3x:

\sf \implies 3x(6x^2 + 2xy - 3x - y)

Factor \sf (6x^2 + 2xy - 3x - y)

Rearrange:

\sf \implies 6x^2 - 3x+ 2xy  - y

Factor pairs of terms:

\sf \implies 3x(2x-1)+ y(2x  - 1)

Factor out common term (2x - 1):

\sf \implies (3x+y)(2x-1)

Final solution:

\sf \implies 3x(3x+y)(2x-1)

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a city stores fresh water in a spherical tank. The tank has a radius of 32 feet. One cubic foot is approximately 7.5 gallons. If
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Answer: There will be about 888,915 gallons of water left in the spherical tank.

First, we need to determine the volume of the tank. The volume formula for a sphere is (4/3)pi(r^3). All we have to do is input the 32 for pi and evaluate. You will have a volume of 137,189 cubic feet.

Now, multiply that by 7.5 and you will have 1,028,915 gallons of water in the tank.

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6 0
3 years ago
oscar bought some markers notebooks and packs of sticky notes for his office he bought the same number of markers as notebooks h
s2008m [1.1K]

The number of each kind of office supply oscar bought is = markers= (43.2 - 4.2y)/3 notebooks = (43.2-3x)/4.2, sticky notes = [43.2 - 4.2y)/3 + (43.2-3x)/4.2] + 3.

<h3>Calculation of total office supply</h3>

The number of markers he bought = X

The number of notebooks he bought= y

The number of sticky notes he bought= z= 3 + X+y

The amount he paid for markers = $1.05*X

The amount he paid for notebooks = $2.25*y

The amount he paid for sticky notes= $1.95 (3 + X+y)

The total amount he paid is = $49.05

That is;

$49.05 = $1.05x + $2.25y + $1.95 (3 + X+y)

$49.05 = $1.05x + $2.25y + $5.85 + $1.95x + $1.95y

$49.05 - $5.85 = 3x + 4.2y

$43.2 = 3x + 4.2y

Make X the subject of formula,

3x = 43.2 - 4.2y

X = (43.2 - 4.2y)/3

y= (43.2-3x)/4.2

z = [43.2 - 4.2y)/3 + (43.2-3x)/4.2] + 3

Learn more about addition here:

brainly.com/question/4721701

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1 year ago
What is cos 45°?<br><br>A. 1<br>B. 1/sqrt of 2
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Cos 45 is option B! :)
8 0
3 years ago
Evaluate 6(5-(6-5)-3​
IrinaK [193]

Answer:

Step-by-step explanation:

Evaluate 6(5-(6-5)-3​) =  6(5-1-3​)   {first solve innermost bracket}

                               = 6* (5-4) = 6*1 =6

4 0
3 years ago
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I gotchu the answer is -8.6
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