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Tema [17]
3 years ago
14

PLEASE HELP!! please do all steps! i’ll mark as brainliest!!!

Mathematics
2 answers:
aalyn [17]3 years ago
8 0

Answer:

-3x⁴ - 9x³ + 15x² = -3x² (x² + 3x -5)

10x³ -35x² + 6x - 21 = (2x - 7) (5x² + 3)

Step-by-step explanation:

-3x⁴ - 9x³ + 15x² = -3x² (x² + 3x -5)

10x³ -35x² + 6x - 21 = (2x - 7) (5x² + 3)

pishuonlain [190]3 years ago
3 0

Answer: 1. 3x^2(-x^2-3x+5). 2. (2x-7)(5x^2+3)

Step-by-step explanation:

(1) Find the greatest common factor - 3x^2. Simplify as much as possible.

(2) Split 10x^3 - 35x^2 and 6x-21 into two separate groups. Factor each group separately to get 5x^2(2x-7) and 3(2x-7). The numbers in the parentheses should be the same for each group - (2x-7). Take the numbers outside of the parentheses and put them together to get (5x^2+3). Your final answer will be (2x-7)(5x^2+3).

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1. What property allows the expression 4.7x + 10.4 + 15.3x − 8.4x + 15.6 to be simplified to the equivalent expression 20x + 10.
Elis [28]

Answer:

  • commutative property
  • distributive property

Step-by-step explanation:

The expression

  4.7x + 10.4 + 15.3x − 8.4x + 15.6

can be simplified in a few stages. First of all, we use the commutative property of addition to swap terms 2 and 3.

  4.7x +15.3x +10.4 -8.4x +15.6

Next, we use the distributive property to factor x from the first two terms.

  (4.7 +15.3)x +10.4 -8.4x +15.6

Now we perform addition.

  20x +10.4 -8.4x +15.6 . . . . . . . . equivalent expression

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3 years ago
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Solve for y.<br> 3(y-2) = y +4-2(-5y-2)<br> Simplify your answer as much as possible.
choli [55]

Answer:

y = -7/4

Step-by-step explanation:

5 0
3 years ago
What are the variables if PT= 2x, TR= y+4, QT= x+2, TS=y
Brilliant_brown [7]
The missing aspect of this question is shown in the attached image, which is that the letters correspond to vertices of a parallelogram.

A key feature of the parallelogram is that the diagonals bisect each other, therefore:

PT = TR
QT = TS

With this information we can now plug in the equations and solve for the variables x and y.

PT = TR
2x = y+4
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QT = TS
x + 2 = y

We now have two equations for the variable y. With this we can solve for x.

2x - 4 = x + 2
x = 6

y = x + 2
y = 6 + 2
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Once we solved for the variable x, we simply placed that value back into one of the previous equations and solved for y. The results are x = 6, y = 8.

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3 years ago
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