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12345 [234]
3 years ago
8

Factor trinomial 28x^3+27x^2+5x

Mathematics
2 answers:
fgiga [73]3 years ago
4 0

Answer: x(7x + 5)(4x + 1)

<u>Step-by-step explanation:</u>

     28x³ + 27x² + 5x

= x(28x² + 27x + 5)

= x(28x² + 7x + 20x + 5)

= x[7x(<u>4x + 1</u>) + 5(<u>4x + 1</u>)]

= x(7x + 5)(4x + 1)

Maksim231197 [3]3 years ago
3 0

Answer:

Hello, Gayleayers!! The answer is x(4x+1)(7x+5)

Step-by-step explanation:

To check your answer, use the box method or foil, whichever you prefer. When you use it, leave out the x in front of the parenthesis. The answer will come to x(28x^2+27x+5), then distribute the x. You will get your original answer.

Have a great night and Happy New Year!!

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Step-by-step explanation:

Each 1,000 sq ft costs $120,000

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3 years ago
Simplify to create an equivalent expression.<br> 2 – 4(5p + 1)
Ganezh [65]

Answer:

A. -20p - 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

2 - 4(5p + 1)

<u>Step 2: Simplify</u>

  1. Distribute -4:                    2 - 20p - 4
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6 0
3 years ago
Read 2 more answers
Brian purchased 10 shares of an aggressive growth mutual fund at $90 per share, for a total of $900, 7 years ago. Today he sold
fredd [130]

Answer:

$514 give or take.  I could be wrong so you might want some confirmation on my answer before putting it on your test or what ever you need it for because i'm only in Middle School.

Step-by-step explanation:

5 0
2 years ago
For each function, state weather it’s linear
user100 [1]

Answer:

Step-by-step explanation:

function 1

slope=(1-0)/(0+2)=1/2

or slope=(4-1)/(2-0)=3/2

which is not same.

so it is not linear.

Function 2.

slope=(1+2)/(-3+4)=3/1=3

or slope=(4-1)(-2+3)=3/1=3

or slope=(7-4)/(-1+2)=3/1=3

slope is same. so it is linear.

5 0
3 years ago
The sum of squares of two consecutive positive even integers is 52 more than their product. Find these numbers.
natulia [17]

Answer:

The first set of consecutive even integers equals (8 , 6)

The second set is ( - 8 and - 6) which also works.

Step-by-step explanation:

Equation

(x)^2 + (x + 2)^2 = (x)(x + 2) + 52            Remove the brackets on both sides

Solution

x^2 + x^2 + 4x + 4 = x^2 + 2x + 52        Collect the like terms on the left

2x^2+ 4x+ 4 = x^2 + 2x + 52                  Subtract right side from left

2x^2 - x^2 + 4x - 2x + 4 - 52  =  0          Collect the like terms

x^2 + 2x - 48 = 0                                     Factor

(x + 8)(x - 6) = 0

Answer

Try the one you know works.

x - 6 = 0

x = 6

Therefore the two integers are 6 and 8

6^2 + 8^2 = 100

6*8 + 52  = 100

So 6 and 8 is one set of  consecutive even numbers that works.    

========================

What about the other set.

x + 8 = 0

x = - 8

x and x + 2

- 8  and -8 + 2 = - 8, - 6

(- 8 )^2 + (- 6)^2 = 100

(-8)(-6) + 52 = 100

Both sets of consecutive numbers work.


5 0
3 years ago
Read 2 more answers
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