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earnstyle [38]
4 years ago
7

Factor the polynomial by its greatest common monomial factor. 3b^5 + 15b^4-18b^7

Mathematics
1 answer:
Nesterboy [21]4 years ago
5 0

Answer:

-3b^4 (6b^3 -b-5)

Step-by-step explanation:

Each term is divisible by 3b^4 so we can factor this out

3b^5 + 15b^4-18b^7

3b^4( b+5 -6b^3)

Rewriting the inside term

3b^4 (-6b^3 +b+5)

We can factor out a negative

-3b^4 (6b^3 -b-5)

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Devon pays $8.16 for 12 pounds of sugar. What is the price for 10<br> pounds of sugar
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15 = 3w solve for w, what does w equal
Vlada [557]

Answer:

w = 5

Step-by-step explanation:

15 = 3w

Switch sides.

3w = 15

Divide both sides by 3.

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The miniature golf scores for 7 friends are 23, 30, 39, 32, 35, 14, and 23. What is the mean golf score for this group of friend
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Elena is making a grape drink. the recipe calls for 2 parts grape juice concentrate to 6 parts water. elena would like to make 8
SashulF [63]

Answer: 20 oz of juice concentrate and 60 oz of water.


Explanation:


Translate the word statements into algebraic expressions to set a system of equations that you can solve.


1) Name the variables:

  • j: parts of juice concentrate
  • w: parts of water

2) Statement one, 2 parts juice concentrate to 6 parts water, translates into a proportion:

    j / w = 2 / 6


3) Statement two, 80 oz of the drink, tanslates into an equality:

     j + w = 80

4) Solve the system to find how many oz of juice concentrate and water Elena needs:

a) System:

                 j / w = 2 / 6

                 j + w = 80

b) Solve for w in the first equation: w = 6j / 2 = 3j

c) Substitute w in the second equation: j + 3j = 80

d) Combine like terms: 4j = 80

e) Use division property of equality: j = 20

f) Substitue in w = 3j: 3 = 3(20) = 60.


5) Solution: j = 20, w = 60.


6) Verify:

  • j / w = 20 / 60 = 2 / 6 ⇒ right
  • j + w = 20 + 60 = 80 ⇒ right
6 0
3 years ago
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