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Gelneren [198K]
3 years ago
8

David is rowing a boat upstream. The river is flowing at a speed of 2 miles per hour. David starts rowing at a speed of 6 miles

per hour, and his speed decreases at a rate of 1.5 miles per hour.
The equation gives the speed of the boat after David has rowed for x hours.
Mathematics
1 answer:
Sedbober [7]3 years ago
5 0
Speed of boat = rowing speed - speed of current

rowing speed is a decreasing linear function, initially 6 and decreasing by 1.5 every hour.
---> 6 - 1.5x

Speed of boat = (6-1.5x) - 2 = 4 - 1.5x
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96 ornaments can be created
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3 years ago
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Given: 3x + y = 1.<br>  Solve for y. <br> A. y = -3x + 1<br> B.y = -3x - 1<br> C.y = 3x - 1
RUDIKE [14]
Y=-3x+1
So the answer is A. All you're doing is moving the 3x to the opposite side, and because your switching the side, you need to switch the sign. So it's a negative 3x after you solve for y. Solving for y(or any letter) is just getting that letter alone on one side of the equal sign.
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2 years ago
Solve 5x^2 − 3x + 17 = 9.
Vedmedyk [2.9K]

Answer:

The roots of the equation are x = \frac{3+\sqrt{151}i}{10} and x = \frac{3-\sqrt{151}i}{10}

and there are no real roots of the equation given above

Step-by-step explanation:

To solve:

5x² − 3x + 17 = 9

or

⇒ 5x² − 3x + 17 - 9 = 0

or

⇒ 5x² − 3x + 8 = 0

Now,

the roots of the equation in the form ax² + bx + c = 0 is given as:

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

in the above given equation

a = 5

b = -3

c = 8

therefore,

x = \frac{-(-3)\pm\sqrt{(-3)^2-4\times5\times8}}{2\times5}

or

x = \frac{3\pm\sqrt{9-160}}{10}

or

x = \frac{3+\sqrt{-151}}{10} and x = \frac{3-\sqrt{-151}}{10}

or

x = \frac{3+\sqrt{151}i}{10} and x = \frac{3-\sqrt{151}i}{10}

here i = √(-1)

Hence,

The roots of the equation are x = \frac{3+\sqrt{151}i}{10} and x = \frac{3-\sqrt{151}i}{10}

and there are no real roots of the equation given above

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2 years ago
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FromTheMoon [43]

Answer:

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The y - intercept is 0, because the point where the line touches the y - axis is y - value of 0

The slope is -1/2 because as it rises by -10, it runs by 20

Slope is rise/run which is -10/20 which simplifies to -1/2

y = mx + b

b = y - intercept

m = slope

y = -1/2x + 0 or y = -1/2x

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6 0
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Hitman42 [59]

Answer:

Step-by-step explanation:

Factorize using square root method.

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2 years ago
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