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Ganezh [65]
3 years ago
14

Determine whether each table represents a linear, quadratic, or exponential function and justify your answer. Write the correct

function name and justification next to the corresponding table.

Mathematics
1 answer:
Oksanka [162]3 years ago
6 0

Answer:

exponential

Step-by-step explanation:

it gets smaller as the x increases

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If your current salary is the 100%, and you get a 2.5% increase, that means the new salary would be 102.5% of 25,000. This percentage could also be written as 1.025, which you would multiply to 25,000 to get your new salary.

1.025 · 25,000 = 25,625

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A quadratic equation that can be written as the difference of squares has...
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Step-by-step explanation:  

The Difference of Two Squares theorem says that any time an equation may be written as a difference between squares A² - B² = 0 it may be rewritten as two products, the sum and difference of the square roots (A + B) (A - B)

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Answer:

-3 ± 2\sqrt{3} = x

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Since this Quadratic Expression is unfactorable, apply the <em>Quadratic</em><em> </em><em>Formula</em>:

x = -b ± \frac{\sqrt{{b}^{2} - 4ac}}{2a}

-6 ± \frac{\sqrt{{6}^{2} - 4(1)(-3)}}{2(1)} =   -6 ± \frac{\sqrt{36 + 12}}{2} = -6 ± \frac{\sqrt{48}}{2} \\ \\ -3 ± 2\sqrt{3}

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½[4√3] = 2√3

Then attach half of -6 to it as well [-3]:

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Answer:

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x = 7

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Similar figures have sides that are proportional.  Setting up a proportion for the sides of the figures will help solve for 'x':

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