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3 years ago

For f(x)=4x+1 and g(x)=x^2-5, find (g/f)(x)

Mathematics

1 answer:

ddd [48]3 years ago

3 0

Answer:

$(g/f)(x) = \frac{g(x)}{f(x)} = \frac{ {x}^{2} - 5 }{4x + 1}$

I hope I helped you^_^

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A welder drops a piece of red-hot steel on the floor. The initial temperature of the steel is 2,500 degrees Fahrenheit. The ambi

sergey [27]

Answer: After 18.05 minutes, the temperature of steel becomes 100 degrees.

Step-by-step explanation:

Since we have given that

Initial temperature = 2500

At t = 0,

we get that

$f(t)=Ce^{-kt}+80\\\\2500=C+80\\\\2500-80=C\\\\2420=C$

After 2 minutes, the temperature of the steel is 1500 degrees.

so, it becomes,

$1500=2420e^{-2k}+80\\\\1500-80=2420e^{-2k}\\\\\dfrac{1420}{2420}=e^{-2k}\\\\0.587=e^{-2k}\\\\\ln 0.587=-2k\\\\-0.533=-2k\\\\k=\dfrac{0.533}{2}\\\\k=0.266$

So, We need to find the number of minutes when the temperature of steel would be 100 degrees.

So, it becomes,

$100=2420e^{-0.266t}+80\\\\100-80=2420e^{-0.266t}\\\\20=2420e^{-0.266t}\\\\\dfrac{20}{2420}=e^{-0.266t}\\\\\ln \dfrac{20}{2420}=-0.266t\\\\-4.8=-0.266t\\\\t=\dfrac{4.8}{0.266}\\\\t=18.05$

Hence, after 18.05 minutes, the temperature of steel becomes 100 degrees.

7 0

3 years ago

Express the ratio as a fraction in it's lowest terms.3kg to 800g

MA_775_DIABLO [31]

Answer:

15 / 4

Step-by-step explanation:

1 kg = 1000 g

3 kg

= 3 x 1000

= 3000 g

3kg to 800g

= 3kg : 800g

= 3000 : 800

= 30 : 8

= 30 / 8

= 15 / 4

6 0

3 years ago

Read 2 more answers

A zoo has 35 exhibits 4/7 of them are mammals how many mammal exhibits are there

Licemer1 [7]

Answer:

4/7=x/35

7*5=35

4*5=x

20=x

8 0

3 years ago

There are 60 people in a class. 10 are women. if we form a committee by randomly choosing 5 people, what is the probability that

IceJOKER [234]

To determine the probability that there will be no women, you need to find the probability of women and subtract it from the total

60 - 10 = 50

so you find the probability with the total number of people being 50, that way the women's probability is eliminated.

5 out of 50 multiplied by the original total of the people, 60

(5÷50)×60 = 6

Therefore the probability of randomly choosing 5 people, excluding women is 6

6 0

3 years ago

Area of rectangle 5/8 square fr width is 2 1/2 ft what is the length

Mazyrski [523]

Answer:

l=p/2-w

Step-by-step explanation:

5 0

3 years ago