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Rufina [12.5K]
3 years ago
13

Find the slope of the line determined by the equation 2x=y

Mathematics
2 answers:
Jlenok [28]3 years ago
8 0
The slope is 2 or 2/1
Sphinxa [80]3 years ago
7 0
The slope is "2" (or "\frac{2}{1}" .
_____________________________________
Explanation:  When a linear equation is in "slope-intercept format"; that is,
____________________
  y = mx + b ;  
________________
  "m" (the coefficient of "x" (the slope); and "b = the y-intercept.
_________________________
We are given the equation:
___________________________
"2x = y";  which can be written as:
↔  "y = 2x" ;
       which is in "slope-intercept form", in the sense that: y = 2x + 0 ;  (b = 0) .
_____________________________________________________
                                           y = mx + b;  m = 2, or 2/1, which is the slope, which is Δy/Δy, which is rise/run, which is our answer.
_________________________________________
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Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-
Rufina [12.5K]
To make a positive profit p(x)>0 we need to make:
-100 x^{2} +350x-150 \ \textgreater \  0

Now we solve this for x:
-2 x^{2} +7x-3 \ \textgreater \ 0

We have:
a = -2
b = 7
c = -3

We will use formula for quadratic equation:
x_{1} =  \frac{-b+ \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{2} =  \frac{-b- \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{1} =  \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2}  \\  \\  x_{2} =  \frac{-7- \sqrt{ 49-24 } }{-4}  = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
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5 0
3 years ago
Read 2 more answers
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Nitella [24]

Answer:

A

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2 years ago
Calculate the speed of a wave with the frequency of 100 hz and wavelength of 250 m, please.
masya89 [10]

Answer:

25000m/s

Step-by-step explanation:

The following formula is used to calculate the speed or velocity of a wave.

V = f * w

Where V is the velocity (m/s)

f is the frequency (hz)

w is the wavelength (m)

First, determine the frequency.

Calculate the frequency of the wave.

Next, determine the wavelength.

Calculate the wavelength of the wave.

Finally, calculate the wave speed.

Using the formula above, calculate the wave speed.

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