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mylen [45]
3 years ago
5

Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x)).

Mathematics
1 answer:
Tanzania [10]3 years ago
3 0

Answer:

We conclude that:

g(f(x)) = -3x+3

Step-by-step explanation:

Given

  • f(x) = 3x-3
  • g(x) = -x

To determine

  • g(f(x)) = ?

In order to determine g(f(x)), first we need to substiute f(x) = 3x-3 in g(f(x)).

g(f(x)) = g(3x-3)

now substitute x = 3x-3 in g(x)

         = -(3x-3)

         = -3x+3

Therefore, we conclude that:

g(f(x)) = -3x+3

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The mixed numbers 2(2/5)can be expressed as
geniusboy [140]

Answer:

12/5

Step-by-step explanation:

the answer can be found by multiplying the whole number, 2, by the denominator of 5, then adding it to the numerator to get 12.

3 0
3 years ago
The half-life of a substance is how long it takes for half of the substance to decay or become harmless (for certain radioactive
marusya05 [52]

Answer:

31.0 grams.

Step-by-step explanation:

According to the given information

Half-life of a substance = 37 years

Initial amount = 202 gram

The exponential function for half-life of a substance is

A(t)=A_0(0.5)^{\frac{t}{h}}

where, A₀ is initial amount, t is time and h is half life.

Substitute A₀=202 and h=37 in the above function.

A(t)=202(0.5)^{\frac{t}{37}}

We need to find the amount of the substance remaining after 100 years.

Substitute t=100 in the above function.

A(100)=202(0.5)^{\frac{100}{37}}

A(100)=31.0282146

Round the answer to the nearest tenth.

A(100)\approx 31.0

Therefore, the amount of the substance remaining after 100 years is 31.0 grams.

4 0
3 years ago
An inlet pipe can fill an empty swimming pool in 5hours, and another inlet pipe can fill the pool in 4hours. How long will it ta
yan [13]

Answer:

It will take 2 hours, 13 minutes and 20 seconds for both pipes to fill the pool.

Step-by-step explanation:

Given that an inlet pipe can fill an empty swimming pool in 5hours, and another inlet pipe can fill the pool in 4hours, to determine how long it will take both pipes to fill the pool, the following calculation must be performed:

1/5 + 1/4 = X

0.20 + 0.25 = X

0.45 = X

9/20 = X

9 = 60

2 = X

120/9 = X

13,333 = X

Therefore, it will take 2 hours, 13 minutes and 20 seconds for both pipes to fill the pool.

6 0
3 years ago
A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s.
Semenov [28]

Answer:

y = 240 cm crawl

x = 120 cm walking

Step-by-step explanation:

Logic....

8 0
3 years ago
I need to know this question
DaniilM [7]

Answer:

I think it is B

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
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