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djverab [1.8K]
4 years ago
10

CORRECT ANSWER GETS BRAINLIEST!!

Mathematics
1 answer:
pav-90 [236]4 years ago
8 0

Answer:

Step-by-step explanation:

To have Distance proportional to time, the person or object must keep a steady or constant rate like speed.

Let's first look at A runner sprinting in the 100 meter dash, since it tells you nothing about time it goes to not enough information.

Now look at An airplane starting at the end of the runway and taking off, it tells you nothing about time so, not enough information.

Now on to A marathon runner jogging at a constant speed for 45 minutes, this is distance proportional to time, because the runner has a constant rate.

The graph is distance proportional to time because, a straight slanted line indicates a constant speed. If it were curved it would not be constant.

The table with the number is distance not proportional to time because if you find the slopes of (25-5)/(10-5) and (50-25)/(15-10), they are 4 and 5 respectively which means there will not be a straight line on the graph.

Lastly, an airplane traveling at a constant speed across the country is distance directly proportional to time because it has a constant rate which is speed.

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Carol has 15 feet of ribbon
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sara nick and robin were collecting cans for a recycling project . sara collected 5 times as many cans as robin . nick collected
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s = sara's cans
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4 years ago
The length, width, and height of a rectangular box are represented by 2x, 3x + 1, and 5x - 6, respectively. When the volume is e
natali 33 [55]

Answer:

The coefficient of the 2nd term is - 26

Step-by-step explanation:

  • <em>Standard form of polynomial means its terms are ordered from greatest exponent to smallest exponent </em>
  • <em>The leading coefficient in polynomial is the coefficient of the first term in a polynomial in standard form</em>

∵ The length, width, and height of a rectangular box are

    represented by 2x, 3x + 1, and 5x - 6

∴ l = 2x , w = 3x + 1 , h = 5x - 6

The formula of the volume of a rectangular box is V = l × w × h

∵ V = 2x(3x + 1)(5x - 6)

- multiply the two brackets at first

∵ (3x + 1)(5x - 6) = (3x)(5x) + (3x)(-6) + (1)(5x) + (1)(-6)

∴ (3x + 1)(5x - 6) = 15x² + (-18x) + 5x + (-6)

- Add the like terms

∴ (3x + 1)(5x - 6) = 15x² + (-18x + 5x) + (-6)

∴ (3x + 1)(5x - 6) = 15x² + (-13x) + (-6)

- Remember (-)(+) = (-)

∴ (3x + 1)(5x - 6) = 15x² - 13x - 6

Substitute it in V

∴ V = 2x(15x² - 13x - 6)

- Multiply each term in the bracket by 2x

∴ V = 2x(15x²) - 2x(13x) - 2x(6)

∴ V = 30x³ - 26x² - 12x ⇒ in standard form

∵ The second term in the polynomial is - 26x²

∴ Its coefficient is - 26

∴ The coefficient of the 2nd term is - 26

3 0
3 years ago
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