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Zepler [3.9K]
3 years ago
14

Simplify the sum. (4u3 + 4u2 + 2) + (6u3 – 2u + 8)

Mathematics
2 answers:
Elan Coil [88]3 years ago
8 0

Answer:

10u^{3}+4u^{2}-2u+10 or 2(5u^{3}+2u^{2}-u+5)

Step-by-step explanation:

we have

(4u^{3}+4u^{2} +2)+(6u^{3}-2u+8)

step 1

Group terms that contain the same variable

(4u^{3}+6u^{3})+(4u^{2})+(-2u)+(2+8)

step 2

Combine like terms

(10u^{3})+(4u^{2})+(-2u)+(10)

step 3

Eliminate parenthesis

10u^{3}+4u^{2}-2u+10

step 4

Factor the number 2

2(5u^{3}+2u^{2}-u+5)

omeli [17]3 years ago
8 0
(4u3+4u2+2)+(6u3-2u+8)    ......remove the brackets fist

4u3+4u2+2+6u3-2u+8        ......add and subtract the like terms

10u3+4u2+2u+10
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Kyle is having a party he has 43 hot dogs there will be 8 people at his party how many hotdogs will each person get
Brrunno [24]

each person will get 5 hot dogs.

Step-by-step explanation:

Total number of Hot dogs =43

Total number of people at party= 8

Each person will get hot dogs= \frac{Total number of Hot dogs}{Total number of people at party }

Each person will get hot dogs= \frac{43}{8}

Each person will get hot dogs= 5.37 or ≈ 5

So, each person will get 5 hot dogs.

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3 years ago
The distance from one corner of a rectangular garden to the other is 13 ft. The length of the garden is 7 ft longer than the wid
coldgirl [10]

Answer:

  • dimensions: 12 ft by 5 ft
  • area: 60 ft²

Step-by-step explanation:

Let x represent the shorter dimension in feet. Then the longer one is x+7 and the Pythagorean theorem tells us the relation of these to the diagonal is ...

  x² + (x+7)² = 13²

  2x² +14x + 49 = 169 . . . . eliminate parentheses

  x² +7x -60 = 0 . . . . . subtract 169 and divide by 2

  (x +12)(x -5) = 0 . . . . factor the equation

  x = -12 or +5 . . . . . . . only the positive value of x is useful here.

The short dimension is 5 ft, so the long dimension is 12 ft. The area is their product, 60 ft².

_____

<em>Comment on finding the area</em>

The quadratic equation above can be rearranged and factored as ...

  x(x +7) = 60

Since the dimensions of the garden are x and (x+7), this product is the garden's area. This equation tells us the area is 60. We don't actually have to find the dimensions.

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50 points! Dustin and Melanie are playing a game, where two standard, six-sided number cubes are rolled, and the sum of their ou
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Melanie made a better decision


Hope I helped!

Let me know if you need anything else!

<span>~ Zoe (Rank:'Genius')</span>
5 0
3 years ago
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Please show work. Geometry question
Pavlova-9 [17]

Answer:

Angles A and B are complementary and the measure of angle A is twice the measure of angle B. Find the measures of angles A and B

6 0
3 years ago
Help plz (please don’t answer saying A or B. That answer makes 0 sense...stop) thx
Anuta_ua [19.1K]
Hey there! :D

Think of it this way. The question is saying that the text messages are all equally the same value, or expense. If you were to divide 16 by $3.20, you would find that each text was the same amount to send. That the input (the number of text messages) is directly related in the same pattern to the output (the cost of the text messages). 

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A constant of proportionality is what makes x directly relate in proportion to y.  We are trying to find the variable that makes y= (?)x

16y= 3.20x

Divide both sides by 16. 

y=0.20x or y=0.2x 

The constant is the value that goes with the variable. .20 is the constant. '

B. Write an equation to represent this proportional relationship. Make sure to define the variables you use. 

We already know that 0.20 is the constant number. In other words, every text message cost $.20. 

Text messages= T cost= C

C= T(0.20) 

For every text message (T), it is multiplied by 0.20, to make the accurate cost (C). 

I hope this helps!
~kaikers

8 0
3 years ago
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