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skelet666 [1.2K]
3 years ago
10

Can you help me show the work and give me the answer?

Mathematics
1 answer:
Murrr4er [49]3 years ago
7 0
The total distance must be greater than 80.  She has already ridden 18 miles.  And she will continue to ride m miles per day for at least 6 more days, so:

6m+18>80

More "work"...

distance>80

distance=18+6m

6m+18>80
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What is the equation, in vertex form, of the quadratic function that has a vertex at V(−2, −6) and passes through point P(−4, −7
Roman55 [17]

Answer:

<h3>             f(x) = -¹/₄(x + 2)² - 6</h3>

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                         f(x) = a(x - h)² + k

vertex is (-2, -6)  so  h = -2,  k = -6

so:

      f(x) = a(x - (-2))² + (-6)

      f(x) = a(x + 2)² - 6

the parabola goes through the point (-4, -7) so for x=-4,  f(x)=-7

  -7 = a(-4+2)²  - 6

  -7 +6 = a(-2)² - 6 +6

 - 1  = a(4)

     a = -¹/₄

Therefore the equation of the parabola in vertex form:

                                 f(x) = -¹/₄(x + 2)² - 6

4 0
3 years ago
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