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True [87]
3 years ago
8

Represent the following expressions as a power of the number a (a≠0): (a^2·a)^3 ÷ a^2

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
5 0
A to the 6th divided by a to the 2nd
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Determine if the following set of ordered pairs represents a quadratic function. Explain.
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Answer:

Option D

Step-by-step explanation:

Given

(5, 7), (7, 11). (9, 14). (11, 18)

Required

Determine if the function is quadratic

(5, 7), (7, 11). (9, 14). (11, 18)

Start by representing the function as an x-y table

x:-  5 || 7 || 9 || 11

y:-  7 ||  11 || 14 || 18

Next; Calculate the difference between the values of y

Difference: 11 - 7 = 4

Difference: 14 - 11 = 3

Difference: 18 - 4 = 4

<em>The resulting difference are: 4 || 3 || 4</em>

Next; Calculate the difference between the difference of values of y

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Difference = 4 - 3 = 1

<em>The resulting difference are: -1 || 1</em>

<em>For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.</em>

<em>Option D answers the question</em>

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4 years ago
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