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AnnZ [28]
3 years ago
12

Rewrite the point-slope equation in slope-intercept form: y - 3 = 2(x + 4)

Mathematics
1 answer:
Olin [163]3 years ago
7 0

Answer:

y = 2x + 11

Step-by-step explanation:

y - 3 = 2(x + 4)      

y - 3 = 2*x + 2*4

y -3 = 2x + 8

y     = 2x + 8 +3

  y = 2x + 11

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A truck is traveling at 74.5 kilometers per hour away from you. The driver is blowing the horn which has a frequency of 415 Hz.
Sphinxa [80]
<span>fo = 335 Hz</span>let fo = frequency heard 
<span>f = actual frequency </span>
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<span>vs = speed of source </span>

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<span>fo = fv/(v - vs) </span>
<span>74.5 km/h = 20.69 m/s </span>
<span>vs = -20.69m/s since it is moving away from you </span>

<span>fo = (415Hz)(346m/s)/(346m/s - (-20.69m/s)) </span>
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<span>For the second one, </span>
<span>fo = fv/(v - vs) </span>
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Arrange these functions from the greatest to the least value based on the average rate of change in the specified interval.
Romashka [77]
By definition, the average change of rate is given by:
 AVR =  \frac{f(x2)-f(x1)}{x2-x1}
 We will calculate AVR for each of the functions.
 We have then:

 f(x) = x^2 + 3x interval: [-2, 3]:
 f(-2) = x^2 + 3x  = (-2)^2 + 3(-2) = 4 - 6 = -2&#10;&#10;f(3) = x^2 + 3x = (3)^2 + 3(3) = 9 + 9 = 18
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 f(x) = 3x - 8 interval: [4, 5]:
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 f(x) = x^2 - 2x interval: [-3, 4]
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 f(x) = x^2 - 5 interval: [-1, 1]
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 AVR = \frac{-4+4}{1+1}
 AVR = \frac{0}{2}
 AVR = 0


 Answer:
 
these functions from the greatest to the least value based on the average rate of change are:
 f(x) = x^2 + 3x
 
f(x) = 3x - 8
 
f(x) = x^2 - 5
 
f(x) = x^2 - 2x
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4 years ago
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