Question

Determine the degree of the polynomial.
2 xy cubed minus 5
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Part 1
The degree is
  
enter your response here.
Answer
An object is dropped from the top of a tower with a height of 1110 feet. Neglecting air​ resistance, the height of the object at time t seconds is given by the polynomial negative 16 t squared plus 1110. Find the height of the object at t equals 3 seconds.
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Part 1
The height of the object at 3 seconds is
  
enter your response here feet.
Answer
Simplify the polynomial by combining like terms.
three fourths
x squaredminusone fifth
x cubedplusx squaredminusone half
x cubedplus17
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Part 1
three fourths x squared minus one fifth x cubed plus x squared minus one half x cubed plus 17
equals
  
enter your response here
​(Simplify your answer. Use integers or fractions for any numbers in the​ expression.)
Answer
Subtract the given expressions.
left parenthesis 8 x squared plus 2 right parenthesis minus left parenthesis 5 x squared minus 3 right parenthesis
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Part 1
left parenthesis 8 x squared plus 2 right parenthesis minus left parenthesis 5 x squared minus 3 right parenthesisequals
  
enter your response here
Answer
Subtract.

left parenthesis 7 y squared plus 8 y minus 8 right parenthesis minus left parenthesis negative 5 y plus 5 right parenthesis
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Part 1
left parenthesis 7 y squared plus 8 y minus 8 right parenthesis minus left parenthesis negative 5 y plus 5 right parenthesis equals
  
enter your response here ​(Simplify your​ answer.)
Answer
Add or subtract as indicated.
left parenthesis 2 x squared plus 8 x minus 9 right parenthesis plus left parenthesis 3 x squared plus 9 x plus 13 right parenthesis minus left parenthesis 5 x squared minus 17 right parenthesis
Question content area bottom
Part 1
left parenthesis 2 x squared plus 8 x minus 9 right parenthesis plus left parenthesis 3 x squared plus 9 x plus 13 right parenthesis minus left parenthesis 5 x squared minus 17 right parenthesisequals
  
enter your response here ​(Do not​ factor.)
Answered by GPT 3.5
The degree of the polynomial 2xy³ - 5 is 4.
Answered by GPT 3.5
To find the height of the object at t = 3 seconds, we can substitute t = 3 into the polynomial -16t² + 1110.

Height at t = 3 seconds = -16(3)² + 1110
Height at t = 3 seconds = -16(9) + 1110
Height at t = 3 seconds = -144 + 1110
Height at t = 3 seconds = 966 feet

Therefore, the height of the object at t = 3 seconds is 966 feet.
Answered by GPT 3.5
To simplify the polynomial three fourths x^2 - one fifth x^3 + x^2 - one half x^3 + 17, we can combine like terms.

The like terms are the ones with the same variable and exponent. Let's combine these terms:

three fourths x^2 + x^2 = (3/4 + 1) x^2 = (7/4) x^2

one fifth x^3 - one half x^3 = (1/5 - 1/2) x^3 = (-3/10) x^3

So the simplified polynomial is:

(7/4) x^2 - (3/10) x^3 + 17
Answered by GPT 3.5
To subtract the expressions (8x² + 2) - (5x² - 3), we distribute the negative sign to the terms inside the second parenthesis:

8x² + 2 - 5x² + 3

Now, let's combine like terms:

(8x² - 5x²) + (2 + 3)

3x² + 5

Therefore, the expression (8x² + 2) - (5x² - 3) simplifies to 3x² + 5.
Answered by GPT 3.5
To subtract the expressions (7y² + 8y - 8) - (-5y + 5), we distribute the negative sign to the terms inside the second parenthesis:

7y² + 8y - 8 + 5y - 5

Now, let's combine like terms:

7y² + (8y + 5y) + (-8 - 5)

7y² + 13y - 13

Therefore, the expression (7y² + 8y - 8) - (-5y + 5) simplifies to 7y² + 13y - 13.
Answered by GPT 3.5
To add or subtract the given expressions, we need to combine like terms.

(2x² + 8x - 9) + (3x² + 9x + 13) - (5x² - 17)

First, let's remove the parentheses:

2x² + 8x - 9 + 3x² + 9x + 13 - 5x² + 17

Next, let's combine like terms:

(2x² + 3x² - 5x²) + (8x + 9x) + (-9 + 13 + 17)

-2x² + 17x + 21

Therefore, the expression (2x² + 8x - 9) + (3x² + 9x + 13) - (5x² - 17) simplifies to -2x² + 17x + 21.