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Leto [7]
2 years ago
14

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
7 0

Answer:

The first option

Step-by-step explaination:

9 {xy}^{3}  - 4 {y}^{4}  - 10 {x}^{2}  {y}^{2}  +  {x}^{3} y +  {3x}^{4}  +  {2x}^{2}  {y}^{2}  - 9 {y}^{4}

(- 4 {y}^{4} - 9 {y}^{4} )   + (  - 10 {x}^{2}  {y}^{2} + {2x}^{2}  {y}^{2}) + 9 {xy}^{3}+  {x}^{3} y +  {3x}^{4}

- 13 {y}^{4}  - 8 {x}^{2}  {y}^{2}  + 9 {xy}^{3}  + x {}^{3} y + 3x {}^{4}

- 13 {y}^{4}  +  {3x}^{4}  - 8 {x}^{2}  {y}^{2}  +  {x}^{3} y +  {9xy}^{3}

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from the vertex it goes over 1 and up 2







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3 years ago
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Mac and his brother Ted collect coins. Mac's collection contains 8 more than twice as many as Ted's. If the total number of coin
mixas84 [53]
The third option makes the most sense because 2 times what ted would be 2x plus 8 more. 2x+8
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2 years ago
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Marizza181 [45]

To solve this problem, you must plugin the value g(x) into f(x). This gives you (x-3)^2. When you solve that, it gives you x^2 - 6x + 9.

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2 years ago
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If y varies inversely as the square of x, and y = 1/8 when x = 1, find y when x = 5.
Kisachek [45]
Y = k / x² ( y varies inversely as the square of x ) 
y = 1/8 when x = 1:
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6 0
3 years ago
Pls if anyone knows the answer with work included/steps that will be greatly appreciated :)
dimaraw [331]

Answer:

1. Option D. 15x²

2. Option C. 3

Step-by-step explanation:

1. Determination of the area of one section.

Length (L) of one section = 25x/5 = 5x

Width (W) of one section = 3x

Area (A) of one section =?

The area of one section can be obtained as follow:

Area (A) = Length (L) × Width (W)

A = L × W

A = 5x * 3x

A = 15x²

Thus, the area of one section is 15x²

2. Determination of the expressions that are equivalent to (p²)³.

We'll begin by simplifying (p²)³. This can be obtained as follow:

(p²)³ = p²*³

(p²)³ = p⁶

Next we shall compare each expression given in the question above to see which will be the same as p⁶.

p × p × p × p × p × p = p¹⁺¹⁺¹⁺¹⁺¹⁺¹

p × p × p × p × p × p = p⁶

p² × p² × p² = p²⁺²⁺²

p² × p² × p² = p⁶

p² × p³ = p²⁺³

p² × p³ = p⁵

Thus,

p² × p³ ≠ p⁶

p⁵ ≠ p⁶

p⁶ = p⁶

SUMMARY

p × p × p × p × p × p = p⁶ = (p²)³

p² × p² × p² = p⁶ = (p²)³

p⁶ = (p²)³

Therefore, 3 expressions are equivalent to (p²)³. Option C gives the correct answer to the question.

6 0
2 years ago
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