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Margarita [4]
3 years ago
14

What is the inverse of the function y=-8x+15?

Mathematics
2 answers:
frez [133]3 years ago
6 0

Answer:

y = (x-15)/-8

Step-by-step explanation:

When solving for an inverse function, swap x and y without bringing the x coefficient with it, just simply swap the variables. Then, solve for y, and that's it.

y = -8x + 15

x = -8y + 15

x-15 = -8y

(x-15)/-8 = y

ladessa [460]3 years ago
3 0

Step-by-step explanation:

Hey there!

Given function is: y = -8x + 15

~ Interchange"X" and "y".

x = -8y + 15

~ Solve it

8y = 15-x

y = (15-x)/8

Therefore, the inverse of function is y = (15-x)/8.

<u>Hope</u><u> it</u><u> helps</u><u>!</u>

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Answer:

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Step-by-step explanation:

<em>Let represent the annual energy consumption of the town as E</em>

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<em>dE/dt * E</em>

<em>dE/dt =K</em>

<em>k = the proportionality constant</em>

<em>c= the integration constant</em>

<em>(dE/dt=) kdt</em>

<em>lnE = kt + c</em>

<em>E(t) = e^kt+c ⇒ e^c e^kt  e^c is a constant, and e^c = E₀</em>

<em>E(t) = E₀ e^kt</em>

<em>The initial consumption of energy is E(0)=4.4TBTU</em>

<em>set t = 0 then</em>

<em>4.4 = E₀ e⇒ E₀ (1) </em>

<em>E₀ = 4.4</em>

<em>E (t) = 4.4e^kt</em>

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<em>so,</em>

<em>E(5) = 5.5 = 4.4e^k(5)</em>

<em>e^5k = 5/4</em>

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<em>5k(1) = ln(5/4)</em>

<em>k = 1/5 ln(5/4) = 0.04463</em>

<em>We find  the town's annual energy consumption, after 9 years</em>

<em>we set t=9  </em>

<em>E(9) = 4.4e^0.04463(9)</em>

<em>= 4.4(1.494301) = 6.5749TBTUs</em>

<em>Therefore the annual energy consumption of the town after 9 years is </em>

<em>= 6.575 trillion BTUs</em>

<em />

3 0
3 years ago
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