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Norma-Jean [14]
3 years ago
10

Point A is launched horizontally away from a wall and a ( t ) a(t) represents Point A's distance from the wall (in meters) in te

rms of the number of seconds t t since the point was launched. Point D is launched from a platform that places it 1 meters from the wall, and Point D travels 1.5 times as fast as Point A. AD Click here to launch the points. Suppose d ( t ) d(t) represents Point D's distance from the wall (in meters) in terms of the number of seconds t t since the points were launched. Write a function formula for d d using the function a a.
Mathematics
1 answer:
irina1246 [14]3 years ago
4 0

Answer:

d(t) = 1 +1.5*a(t)

Step-by-step explanation:

Since point D is launched from a platform that places it 1 meters from the wall, we have  

d(0) = 1

Since point A is launched directly from the wall,  

a(0) = 0

but besides, point D travels 1.5 times as fast as point A, so

d(t) = 1 +1.5*a(t)

and this the function required.

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Find the vertical asymptote(s) of f of x equals quantity 4 x squared plus 3x plus 6 end quantity over quantity x squared minus 3
siniylev [52]

The vertical asympototes of f(x) are  at x = -6 and x = 6

Step-by-step explanation:

To find the vertical asymptote(s) of a rational function,

  • Equate the denominator by 0
  • Solve it for x
  • If x = a, then the vertical asymptote is at x = a

∵ f(x)=\frac{4x^{2}+3x+6}{x^{2}-36}

- Equate the denominator x² - 36 by 0

∵ x² - 36 = 0

- Add 36 to both sides

∴ x² = 36

- Take √ for both sides

∴ x = ± 6

∴ There are vertical asymptotes at x = -6 and x = 6

The vertical asympototes of f(x) are  at x = -6 and x = 6

Learn more:

You can learn more about the asymptotes in brainly.com/question/6459599

#LearnwithBrainly

4 0
3 years ago
What expressions represent 1/3 times the sum of 8 and 4
san4es73 [151]

Answer:

1/3 * (8 + 4)

Step-by-step explanation:

Expression which represents 1/3 tines the sum of 8 and 4

Expressing mathematically,

Sum of 8 and 4 is written as (8 + 4)

1/3 of the sum is expressed as ; 1/3 x (8 + 4)

Hence,

1/3 * (8 + 4)

1/3 * 12

= 4

Expression is 1/3 * (8 + 4)

Result = 4

8 0
3 years ago
What’s the difference between a radius and a diameter?
otez555 [7]

Answer:

radius is half of the circle. diameter is the line that goes all the way to the other end of the circle

Step-by-step explanation:


6 0
3 years ago
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Two more than a number is less than 14. 2 + n less-than-or-equal-to 14 2 + n less-than 14 2 + n greater-than-or-equal-to 14 2 +
statuscvo [17]

Answer:

x+2 < 14 | -2

x < 12

2+n <= 14 | -2

n <= 12

2+n < 14 | -2

n < 14

2+n >= 14 | -2

n >= 12

2+n > 14 | -2

n > 14

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Two bags contain coloured cubes.
spayn [35]

Answer:

equal

Step-by-step explanation:

Bag 1 has 3 red cubes and 1 blue cube.  = 4 cubes

Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.= 5 cubes

P ( red bag 1) = red /total = 3/4

P (yellow  bag 2) = yellow /total = 1/5

P(red bag1 , yellow bag2) = 3/4* 1/5 = 3/20

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The probabilities are equal

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