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3 years ago

A certain quadratic function has x-intercepts at 2 and 3. What are the x-coordinates of its vertex?

Mathematics

1 answer:

Alik [6]3 years ago

6 0

<h3>Answer: D) 5/2</h3>

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Explanation:

The parabola is symmetric around its vertex. This means that the roots are the same horizontal distance away from the vertex. Furthermore, we can apply the midpoint formula on the given roots to find the x coordinate of the vertex.

Find the midpoint of 2 and 3 to get (2+3)/2 = 5/2

Note: 5/2 = 2.5

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Answer:

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Step-by-step explanation:

Given

<em>Represent the police station with P, Library with L; Fire station with F</em>

<em>The first statement can be represented as:</em>

<em></em> $L - P = P - F - 3$

<em>The second can be represented as:</em>

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Required

Determine the distance between the police station and the fire station (P - F)

$L - P = P - F - 3$ --- (1)

$L - P = 5$ --- (2)

Substitute 5 for L - P in (1)

$5 = P - F - 3$

Add 3 to both sides

$3 +5 = P - F - 3 + 3$

$3 +5 = P - F$

$8= P - F$

$P - F = 8$

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Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

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