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AlladinOne [14]
3 years ago
5

Please help me! graph y=3/4x-1/2

Mathematics
2 answers:
Nat2105 [25]3 years ago
6 0

Answer:

in attachment

Step-by-step explanation:

An easy-ish way to graph something in slope-intercept form is to use the y-intercept and the slope because that info is given.

the y -int is when x = 0 and then y would equal -1/2. (0,-1/2)

then the slope is 3/4 which is rise over run so go three up (rise) and 4 across (run). make sure that your line has a positive slope ( / ) because the slope is positive in the equation, not negative ( \ )

You now have 2 points. Draw a line connecting the two points.



andreev551 [17]3 years ago
4 0

Use the site called Desmos, it's a graphing calculator and should help you in all the ways you need. It isn't complex. Just put that equation in a box and it graphs it for you.

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evablogger [386]

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Answer:

The initial mass of the sample was 16 mg.

The mass after 5 weeks will be about 0.0372 mg.

Step-by-step explanation:

We can write an exponential function to model the situation.

Let the initial amount be A. The standard exponential function is given by:

P(t)=A(r)^t

Where r is the rate of growth/decay.

Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:

\displaystyle P(t)=A\Big(\frac{1}{2}\Big)^{t/4}

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\displaystyle 2=A\Big(\frac{1}{2}\Big)^{12/4}

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\displaystyle 2=A\Big(\frac{1}{2}\Big)^3

Simplify:

\displaystyle 2=A\Big(\frac{1}{8}\Big)

Thus, the initial mass of the sample was:

A=16\text{ mg}

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\displaystyle P(35)=16\Big(\frac{1}{2}\Big)^{35/4}\approx0.0372\text{ mg}

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