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Luden [163]
3 years ago
13

1. The price of gas has increased over time due to inflation and other factors.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0

Answer:

Step-by-step explanation:

The equation representing the price of gas for the years after 2000 is expressed as

y = 1.26(1.10)^x

Where x = 0, 2, 4, 6, 8, and 10 represent these years : 2000, 2002, 2004, 2006, 2008, and 2010, the table would be

1) x = 0(2000)

y = 1.26(1.10)^0

y = 1.3

2) x = 2(2002)

y = 1.26(1.10)^2

y = 1.5

3) x = 4(2004)

y = 1.26(1.10)^4

y = 1.8

4) x = 6(2004)

y = 1.26(1.10)^6

y = 2.2

5) x = 8(2006)

y = 1.26(1.10)^8

y = 2.7

6) x = 10(2008)

y = 1.26(1.10)^10

y = 3.3

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Katyanochek1 [597]
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f(x) = -4(x²) + 4(4x) - 4(4) + 2
f(x) = -4x² + 16x - 16 + 2
f(x) = -4x² + 16x - 14
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x = <u>-16 +/- √(32)
</u>               -8<u>
</u>x = <u>-16 +/- 5.66
</u>              -8<u>
</u>x = <u>-16 + 5.66</u>      x = <u>-16 - 5.66
</u>             -8                         -8<u>
</u>x = <u>-10.34</u>            x = <u>-21.66</u>      
          -8                         -8
x = 1.2925           x = 2.7075
f(x) = -4x² + 16x - 14
f(1.2925) = -4(1.2925)² + 16(1.2925) - 14
f(1,2925) = -4(1.67055625) + 20.68 - 14
f(1.2925) = -6.682225 + 20.68 - 14
f(1.2925) = 13.997775 - 14
f(1.2925) = -0.002225
(x, f(x)) = (1.2925, -0.002225)
or
f(x) = -4x² + 16x - 14
f(2.7075) = -4(2.7075)² + 16(2.7075) - 14
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f(2.7075) = -29.322225 + 43.32 - 14
f(2.7075) = 13.997775 - 14
f(2.7075) = -0.002225
(x, f(x)) = (2.7075, -0.002225)
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f(x) = 2x² - 8x + 9
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x = <u>8 +/- √(64 - 72)</u>
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                 4
x =<u> 8 +/- √(8)√(-1)</u>
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x = <u>8 +/- 2.83i</u>
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f(x) = -2x² + 16x - 24
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