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marusya05 [52]
3 years ago
11

PLEASE HELP!!!

Mathematics
1 answer:
Aleksandr [31]3 years ago
5 0

The inequality that represents the steps taken after the first day is 2000 + 500x ≥ 10000

<h3>Part A: The inequality that represents the number of steps?</h3>

The given parameters are:

  • Initial number of steps = 2000
  • Rate each day = 500
  • Total number of steps = At least 10000

In inequality, at least means greater than or equal to i.e. ≥.

So, the inequality that represents the number of step each day (x) after the first day is:

2000 + 500 * x ≥ 10000

This gives

2000 + 500x ≥ 10000

<h3>Part B: How to exceed the goal</h3>

To exceed the goal faster, Angel can do any of the following activities:

  • Increase the initial number of steps from 2000 to (say) 2500. This is represented by 2500 + 500x ≥ 10000
  • Increase the rate from 500 to (say) 600. This is represented by 2000 + 600x ≥ 10000

Read more about linear inequalities at:

brainly.com/question/18881247

#SPJ1

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G(x) = 3x + 1; Find g(-8)
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g(-8) = -23

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The vertex of the parabola below is at the point (2, 4), and the point (3, 6) is on the parabola. what is the equation of the pa
Paraphin [41]

Given:

Vertex ===> (h, k) (2, 4)

The parabola passes through the point: (x, y) ==> (3, 6)

Let's find the equation of a parabola.

To find the equation, use the general equation of a parabola with vertex (h, k):

y=a(x-h)^2+k_{}

Where:

(h, k) ==> (2, 4)

(x, y) ==> (3, 6)

Substitute values into the general equation:

\begin{gathered} 6=a(3-2)^2+4 \\  \\ 6=a(1)^2+4 \\  \\ 6=a+4 \end{gathered}

Subtract 4 from both sides:

\begin{gathered} 6-4=a+4-4 \\  \\ 2=a \\  \\ a=2 \end{gathered}

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Therefore, the equation of the parabola is:

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ANSWER:

y=2(x-2)^2+4

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