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Ivenika [448]
3 years ago
10

There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0
<h2><u>RATIO</u></h2>

<h3><u>\underline \mathcal{PROBLEM:}</u></h3>

» There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of apples to total fruits? Be sure to write your answer in lowest terms.

<h3>\underline{ \mathcal{ANSWER:}}</h3>
  • \blue{ \bold{4:7}}

— — — — — — — — — —

<h3>\underline{ \mathcal{EXPLANATION:}}</h3>

Based on the problem, there are 8 watermelons and 6 apples in the shopping cart. So,

  • \sf \: Apple =  \green6

  • \sf \: Watermelon = \green 8

  • \sf \: Total \:  Fruits= \green {14 }

Therefore, the ratio of apples to total fruits is 8:14 and its lowest term is 4:7.

_______________∞_______________

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The <em>quadratic</em> function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).

<h3>How to analyze quadratic equations</h3>

In this question we have a graph of a <em>quadratic</em> equation translated to another place of a <em>Cartesian</em> plane, whose form coincides with the <em>vertex</em> form of the equation of the parabola, whose form is:

g(x) = C · (x - h)² - k     (1)

Where:

  • (h, k) - Vertex coordinates
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By direct comparison we notice that (h, k) = (5, 1) and C = 1. Now we proceed to check if the points (x, y) = (2, 10) and (x, y) = (8, 10) belong to the parabola.

x = 2

g(2) = (2 - 5)² + 1

g(2) = 10

x = 8

g(8) = (8 - 5)² + 1

g(8) = 10

The <em>quadratic</em> function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).

To learn more on parabolae: brainly.com/question/21685473

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Step-by-step explanation:

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