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valentinak56 [21]
3 years ago
10

Which expressions are equivalent to 6xy + 9xy - 18y

Mathematics
2 answers:
Verdich [7]3 years ago
7 0
The correct answers are A and C
lakkis [162]3 years ago
4 0
6xy + 9xy - 18y
3(2xy + 3xy - 6y) <==
3y(2x + 3x - 6)<==

15xy - 18y
3y(5x - 6) <==

answers are : A, C and E
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Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
Tcecarenko [31]

Answer:

<u>44 cows and 36 ducks.</u>

Step-by-step explanation:

x is ducks and y is cows.

Assuming both have 1 head each, we can write:

x + y = 80.

Let's assume each x(cow) has 4 legs and each y(duck) has two legs.

Then we can add the numbers of legs:

2x + 4y = 248 legs

Now rearrange x + y = 80 to:

x = 80-y

and substitute:

2x + 4y = 248 legs

2(80-y) + 4y = 248 legs

160 - 2y + 4y = 248 legs

2y = 88 legs

<u>y = 44   [There are 44 cows]</u>

Use this value to find the number of ducks:

x + y = 80

44 + y = 80

<u>y = 36  [There are 36 ducks]</u>

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

Check:

Do 44 cows and 36 ducks have a total of 248 legs?

4*44 + 2*36 = 248 ?

176 + 72 = 248?

<u>YES</u>

4 0
2 years ago
Please help and Imma be postin these all night I literally suck at algebra two so just check my profile if your good at math :)
Simora [160]

Answer:

The range of the equation is y ≥ 9 ⇒ C

Step-by-step explanation:

The quadratic equation y = ax² + bx + c, represents by a parabola of vertex (h, k), where h = \frac{-b}{2a} and k is the value of y at x = h

  • The range of the quadratic if it has a minimum vertex is y ≥ k, and y ≤ k if it has a maximum vertex
  • The parabola has a minimum vertex if the value of a is positive and a maximum vertex if the value of a is negative

∵ The equation is y = x² + 9

→ Compare it with the form above to find a and b

∴ a = 1 and b = 0

∵ a is a positive number

∴ The parabola has a minimum vertex

→ By using the 1st rule above

∴ The range is y ≥ k

→ Use the rule of h above to find it

∵ h = \frac{-(0)}{2(1)} = \frac{0}{2}

∴ h = 0

→ To find k substitute x by the value of h and y by k

∵ k = (0)² + 9

∴ k = 0 + 9

∴ k = 9

∴ The range of the equation is y ≥ 9

5 0
3 years ago
PLEASE HELP PLEASE please
Romashka [77]
You should know this if you rated yourself as college level...
4 0
3 years ago
Jane needs to memorize words on a vocabulary list for German class. She has memorized 8 of the words, which is one-fourth of the
Anna35 [415]

Answer:

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Step-by-step explanation:

Okay...let's get solving! :D Firstly, we

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Memroized = 8 words

x * \frac{1}{4} = 8

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x = 32 words

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3 years ago
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