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hram777 [196]
3 years ago
5

The graph for the equation Y = -X+2 is shown below. If another equation is graphed so that the system has an infinite number of

solutions, which equation could that be
1. y=-2(x-1)
2.y=-(x+2)
3.y=-1/4(4x-8)
4.y=-1/2(x+4)
​

Mathematics
1 answer:
natali 33 [55]3 years ago
6 0

Answer:

3.

Step-by-step explanation:

X+2=-1/4(4x-8)

x+2=-x+2

0=0

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Step-by-step explanation:

<u>Given formula:</u>

\sf N=N_0e^{-kt}

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  • N = mass (at time t)
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  • t = time (in days)

Given values:

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Half-life:  The <u>time</u> required for a quantity to reduce to <u>half of its initial value</u>.

To find the time it takes (in days) for the substance to reduce to half of its initial value, substitute the given values into the formula and set N to half of the initial mass, then solve for t:

\begin{aligned}\sf N & = \sf N_0e^{-kt}\\\\\implies \sf \dfrac{11}{2} & = \sf 11e^{-0.125t}\\\\\sf \dfrac{1}{2} & = \sf e^{-0.125t}\\\\\sf \ln \left(\dfrac{1}{2}\right) & = \sf \ln e^{-0.125t\\\\\sf \ln \left(\dfrac{1}{2}\right) & = \sf -0.125t \ln e\\\\\sf \ln \left(\dfrac{1}{2}\right) & = \sf -0.125t(1)\\\sf t & = \sf \dfrac{\ln \left(\dfrac{1}{2}\right)}{-0.125}\\\\\sf t & = \sf 5.545177444...\\\\\sf t & = \sf 5.5\:\:days\:\:(nearest\:tenth)\end{aligned}

Therefore, the substance's half-life is 5.5 days (nearest tenth).

Learn more about solving exponential equations here:

brainly.com/question/28016999

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