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2 years ago

The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:

2 answers:

8 0

Ur independent variable is ur x values....ur dependent variable is ur y values..so if hrs are on the x axis, then ur independent values are ur hrs (or time)....and ur dependent values are ur distance.

(0,0),(2,50)
slope = (50 - 0) / (2 - 0) = 50/2 = 25

y = mx + b
slope(m) = 25
and since u have point (0,0), ur y int (b) = 0
so ur equation is y = 25x + 0 which is written as y = 25x...which is basically saying that he travels 25 miles per hr

how far will he travel in 24 hrs.....so sub in 24 for x
y = 25(24)
y = 600 miles

in summary : The dependent variable is distance, the equation is y = 25x and the dragonfly will fly 600 miles.

valkas [14]2 years ago

7 0

Answer:

The dependent variable is distance, the equation is y = 25x and the dragonfly will travel 600 miles.

Step-by-step explanation:

Based off of the graph you can clearly see the dependent variable being distance. The time is the INDEPENDENT variable. A would be your answer!

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3 years ago

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

What adds up to -54 and multiplies to -16

Kaylis [27]

X + y = -54
xy = -16

$xy = -16$
$\frac{xy}{x} = \frac[-16}{x}$
$y = \frac{-16}{x}$

$x + y = -54$
$x + \frac{-16}{x} = -54$
$\frac{x^{2}}{x} + \frac{-16}{x} = -54$
$\frac{x^{2} - 16}{x} = -54$
$x^{2} - 16 = -54x$
$x^{2} + 54x - 16 = 0$
$x = \frac{-(54) \± \sqrt{(54)^{2} - 4(1)(-16)}}{2(1)}$
$x = \frac{-54 \± \sqrt{2916 + 64}}{2}$
$x = \frac{-54 \± \sqrt{2980}}{2}$
$x = \frac{-54 \± 59.6}{2}$
$x = -27 \± 29.8$
$x = -27 + 29.8$ $or$ $x = -27 - 29.8$
$x = 2.8$ $or$ $x = 56.8$

x + y = -54
  2.8 + y = -54
- 2.8 - 2.8
y = -56.8
(x, y) = (2.8, -56.8)

or

  x + y = -54
  -56.8 + y = -54
+ 56.8 + 56.8
y = 2.8
  (x, y) = (-56.8, 2.8)

The two numbers that add up to -54 and multiply to -16 are -56.8 and 2.8.

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3 years ago