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ella [17]
3 years ago
8

Factor 3x3 + 27x2 + 60x.

Mathematics
2 answers:
Rashid [163]3 years ago
5 0

Answer:

3x( x+5) (x+4)

Step-by-step explanation:

3x^3 + 27x^2 + 60x.

Factor out the greatest common factor

3x( x^2 +9x+20)

Now factor inside the parentheses

What two numbers multiply to 20 and add to 9

5*4 = 20

5+4 =9

3x( x+5) (x+4)

Alekssandra [29.7K]3 years ago
5 0

Answer:

\mathrm{C}

Step-by-step explanation:

3x^3 + 27x^2 + 60x

3x\left(x^2+9x+20\right)

3x[x\left(x+4\right)+5\left(x+4\right)]

3x\left(x+4\right)\left(x+5\right)

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Debra travels a distance of 2 miles in 1 minute how much distance can she cover in 25 minutes
Marta_Voda [28]

Debra will travel 50 miles in 25 minutes

Step-by-step explanation:

Given

distance = 2 miles

Time = 1 minute

Other time = 25 minutes

We can use the proportions to find the number of miles debra will travel in 25 minutes

So,

Distance:Time::Distance:Time\\2:1::Distance:25\\\frac{2}{1} = \frac{Distance}{25}\\Distance = 25 *2\\= 50\ miles

Hence,

Debra will travel 50 miles in 25 minutes

Keywords: Proportion, rate

Learn more about proportion at:

  • brainly.com/question/4528757
  • brainly.com/question/4480478

#LearnwithBrainly

8 0
3 years ago
Simplify the expression<br> 4 + 3(x + 2)
kap26 [50]

Answer: 3x+10

You welcome!

5 0
3 years ago
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hou
o-na [289]

This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour  

Answer:

The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Step-by-step explanation:

Given the data in the question;

let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively

so

x + y = 55  ----------------equ1

x = 55 - y ------------------qu2

also

15x + 30y = 1050

x + 2y = 70 --------------equ3

input equ2 into equ3

(55 - y) + 2y = 70

- y + 2y = 70 - 55

y = 15

input value of y into equ1

x + 15 = 55

x = 55 - 15

x = 40

Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

8 0
3 years ago
What is the value of i^n if the remained of n/4 is 2<br> A. i<br> B. -i<br> C. -1<br> D. 1
Setler [38]

Answer:

5

Step-by-step explanation:

3 0
3 years ago
Solve for y. <br> 2x+6y=12
Veronika [31]
2x + 6y = 12

2x - 2x + 6y = 12 - 2x

6y = 12 - 2x

6y/6 = 12/6 - 2x/6

Y = 2 - 2/6 X

Y = 2 - 1/3 X or

Y = -1/3 X + 2.
7 0
3 years ago
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