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3 years ago

F(x) = 4x2 – 3x + 5x3 – 7 . Decide if the function is a polynomial

Mathematics

1 answer:

Marina CMI [18]3 years ago

4 0

Umm so it’s not coming out as a polynomial but these answers came out
type of problem. Try the examples below.

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The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial am

posledela

Step-by-step walkthrough:

Well a standard half-life equation looks like this.

$N = N_0 * (\frac{1}{2})^{t/p$

$N_0$ is the starting amount of parent element.

$N$ is the end amount of parent element

$t$ is the time elapsed

$p$ is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

$N(t) = 74g * (\frac{1}{2})^{t/2.8days$

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

$N(t) = 74g * (\frac{1}{2})^{t/2.8days} = N(2.8days) = 74g * (\frac{1}{2})^{2.8days/2.8days}\\= 74g * \frac{1}{2} = 37g$

Now we just gotta do some algebra. Use the original function but this time, replace $N(t)$ with 10g and solve algebraically.

$10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}$

Take the log of both sides.

$log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})$

Use the exponent rule for log laws that, $log(b^x) = x*log(b)$

$log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})$

$\frac{log(\frac{5}{37})}{log(\frac{1}{2})} = \frac{t}{2.8days}$

$2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})} = t$

slap that in your calculator and you get

$t = 8.1 days$

7 0

2 years ago

jenelle makes $7.25 an hour at the flower shop write an inequality to find out how many hours you was work to earn at least $125

faust18 [17]

Hmmmmm I don't know key maw think

3 0

3 years ago

Three hundred forty seven and three hundred ninety two thousandths in standard form

Anna35 [415]

Answer:

347,392

Step-by-step explanation:

yes

7 0

3 years ago

X=4y,2x+y=18 solve by substitution show all work

Mkey [24]

Here is the math, did it on paper, sorry it’s blue. just add parenthesis around the x in the second equation and add what x equals. then solve as PEMDAS.

7 0

2 years ago

What is the slope of the line that contains these points?

miskamm [114]

Answer:

-5/4

Step-by-step explanation:

change in y/change in x

3 0

3 years ago

Read 2 more answers