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3 years ago

If f(x) = 6x – 4, what is f(x) when x = 8?Which represents where f(x) = g(x)?

Mathematics

2 answers:

Alexxx [7]3 years ago

7 0

F(x) = 44 as for having 8 as x

Alex787 [66]3 years ago

4 0

The answer of f(x) when x=8 is 44.

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If a substance decays at a rate of 25% every 10 years, how long will it take 512 grams of the substance to decay to 121.5 grams

Juliette [100K]

Answer:

It will take 50 years to decay from 512 grams to 121.5 grams.

Step-by-step explanation:

The decay formula :

$N=N_0e^{-\lambda t}$

where

N= amount of substance after t time

N₀= initial of substance

t= time.

A substance decays at a rate 25% every 10 years.

So, remaining amount of the substance is = (100%-25%)= 75%

$\frac{N}{N_0}=\frac{75\%}{100\%}=\frac{75}{100}=\frac34$ , t= 10

$N=N_0e^{-\lambda t}$

$\Rightarrow \frac {N}{N_0}=e^{-\lambda t}$

$\Rightarrow \frac34 =e^{-\lambda .10}$

Taking ln both sides

$\Rightarrow ln|\frac34| =ln|e^{-\lambda .10}|$

$\Rightarrow ln|\frac34|=-10\lambda$

$\Rightarrow \lambda=\frac{ ln|\frac34|}{-10}$

Now , N₀= 512 grams, N= 121.5 grams, t=?

$N=N_0e^{-\lambda t}$

$\therefore 121.5=512e^{-\frac{ln|\frac34|}{-10}.t}$

$\Rightarrow 121.5=512e^{\frac{ln|\frac34|}{10}.t}$

$\Rightarrow \frac{121.5}{512}=e^{\frac{ln|\frac34|}{10}.t}$

Taking ln both sides

$\Rightarrow ln|\frac{121.5}{512}|=ln|e^{\frac{ln|\frac34|}{10}.t}|$

$\Rightarrow ln|\frac{121.5}{512}|={\frac{ln|\frac34|}{10}.t}$

$\Rightarrow t=\frac{ln|\frac{121.5}{512}|}{\frac{ln|\frac34|}{10}}$

$\Rightarrow t=\frac{10.ln|\frac{121.5}{512}|}{{ln|\frac34|}}$

⇒t=50 years

It will take 50 years to decay from 512 grams to 121.5 grams.

8 0

3 years ago

Happy kids charge $19.00 plus $1.50 per hour to keep a kid during the day. Fun city charges $14.00 plus $2.75 per hour. Write an

MatroZZZ [7]

Answer: y = 1.50x + 19 and y = 2.75x + 14
y = 25
x = 4
Both services will charge an equal cost of $25 for 4 hours.

6 0

1 year ago

Read 2 more answers

What is the answer of it

polet [3.4K]

The correct answer is A. 15,200.00

Explain

E= 1 -x/p

X= 293

P= 473 k

E= 1 -x/p = 1 - 293/473. = 0.38

So now E= 0.38 —> 38%

40, 000,000 x 0.38 = 15, 200, 000

Hope this help you

Stay safe :D

7 0

2 years ago

Read 2 more answers

A car travels a distance of 1280 metres at an average speed of 64 kilometres per hour.

Colt1911 [192]

Answer:

The answer is 20 hours

Step-by-step explanation:

This is becuase 1280 divided by 64 equals 20. There are no unit coversions.

6 0

2 years ago

Help please thank you!

irga5000 [103]

Answer:

Step-by-step explanation:

W(-4,-10) lies on third quadrant.

M(-12,0) lies on second quadrant or can say in x axis

C(8,3) lies on first quadrant.

K(11,-5) lies on fourth quadrant.

8 0

2 years ago