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andriy [413]
3 years ago
10

Which equation is equivalent to (1/3)x=27x+2?

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
7 0
I hope this helps you


x=3. (27x+2)

x=81x+6

80x=-6

x=-3/40
Ratling [72]3 years ago
4 0

Answer with explanation:

 The given expression in one variable x, is:

      1.\Rightarrow\frac{x}{3}=27 x+2\\\\2.\Rightarrow\frac{x}{3}-27 x=2\\\\3.\Rightarrow\frac{x-81x}{3}=2\\\\4.\Rightarrow \frac{-80x}{3}=2\\\\5.\Rightarrow x=\frac{2 \times 3}{-80}\\\\6.\rightarrowx=\frac{-3}{40}

All the steps from , 1 to 6 are equivalent to Original expression given.

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The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the h
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The heights the balls hit a fence at 350 ft distance are 65 feet, 38 feet and 30 feet, respectively

<h3>Represent the distance-height relationship for each player’s ball as an equation, in a table and on a graph. </h3>

<u>Juan</u>

Juan's equation is given as:

h = -0.001d^2 + 0.5d + 2.5

h =

Set d to multiples of 50 from 0 to 400.

So, the table of values of Juan's function is:

d (ft)                   h(ft)

0                          2.5

50                        25

100                      42.5

150                        55

200                      62.5

250                        65

300                      62.5

350                        65

400                      42.5

See attachment for the graph of Juan's function

<u>Mark</u>

A quadratic function is represented as:

h = ad^2 + bd + c

Using the values on the table of values, we have:

c = 3 -- the constant value

So, the equation becomes

h = ad^2 + bd + 3

Using the two other values on the table of values, we have:

23 = a(50)^2 + b(50) + 3

38 = a(100)^2 + b(100) + 3

Using a graphing tool, we have:

a = -0.001

b = 0.45

So, Mark's equation is h(d) = -0.001d^2 + 0.45d + 3

See attachment for Mark's graph.

<u>Barry</u>

From the graph, we have the table of values of Barry's function to be:

d (ft)                   h(ft)

0                          2.5

50                        21

100                      35

150                       44

200                      48

250                       46

300                      41

350                       30

400                      14

450                      0

Using a graphing tool, we have the quadratic function to be:

y = -0.001x^2 +0.4x +2.5

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<h3>The height the balls hit a fence at 350 ft distance</h3>

To do this, we set d = 350

From the graphs, equations and tables, the height at 350 ft by the balls are:

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Read more about quadratic functions at:

brainly.com/question/12446886

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