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snow_tiger [21]
3 years ago
6

Which rule matches the function graphed below? y= - 2x. y= x+4 y = 2x y = x -4

Mathematics
2 answers:
nikitadnepr [17]3 years ago
8 0
Take any two points to find the slope of a line.  The slope will be equal to:

(y2-y1)/(x2-x1) and any two points will do...

I'll use (-2,4) and (0,0) :P so the slope is:

(0-4)/(0--2)=-4/2=-2, now we know the slope is -2 so:

y=-2x+b  (now we know b=0, but I'll use another point anyway to solve for b)

Let's use (-2,4) again...

4=-2(-2)+b

4=4+b

b=0

So the line is:

y=-2x
umka21 [38]3 years ago
7 0
y=-2x 
We know this because the slope is -2 (slope is found using rise/run, in this case the rise is 2 and the run is -1, so 2/-1=-2), and the y-intercept is at 0 (the y-intercept is the point at which a line crosses the y-axis).

:)
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Step-by-step explanation:

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3 years ago
3√x -2/x^2<br><br>please show step by step of differentiation before combining the terms. ​
EastWind [94]

Answer:

Step-by-step explanation:

Before we differentiate, let us assign a variable to the function. Let y be equal to the function i.e let y = 3√x -2/x²

In differentiation if y = ax^{n}, then \frac{dy}{dx} = nax^{n-1} where n is a constant and dy/dx means we are differentiating the function y with respect to x.

Applying the formula o the question given;

y= 3\sqrt{x}  -2/x^2\\y = 3{x}^\frac{1}{2}  - 2x^{-2} \\\\

On differentiating the resulting function;

\frac{dy}{dx} = \frac{1}{2}*3x^{\frac{1}{2}-1 }   - (-2)x^{-2-1} \\\\\frac{dy}{dx} = \frac{1}{2}*3x^{-\frac{1}{2}} + 2x^{-3}\\ \\\frac{dy}{dx} = \frac{1}{2}*{\frac{3}{x^{\frac{1}{2} } }} + \frac{2}{x^{3} } \\\\\frac{dy}{dx} = {\frac{3}{2x^{\frac{1}{2} } }} + \frac{2}{x^{3} }\\\\\frac{dy}{dx} = {\frac{3}{2\sqrt{x}  }} + \frac{2}{x^{3} }

To combine the terms, we will add up by finding their LCM.

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3 0
4 years ago
Identify the solution of the system -3x -4y=2<br> 8y=-6x-4
yarga [219]
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 8          8
   y = -0.75x - 0.5

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-3x + 3x + 2 = 2
0x + 2 = 2
<u>     - 2  - 2</u>
      <u>0x</u> = <u>0</u>
       0    0
         x = 0
-3(0) - 4y = 2
       0 - 4y = 2
     <u>- 0        - 0</u>
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5 0
3 years ago
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Ostrovityanka [42]
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