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Basile [38]
3 years ago
5

Which values from the set {0, 12, 2.5, 4} make the inequality 8g < 4 true?

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
5 0

Answer:

a. 0

Step-by-step explanation:

Which values from the set {0, 12, 2.5, 4} make the inequality 8g < 4 true?

Our inequality:

8g < 4

Substitute each values from the set {0, 12, 2.5, 4} for g, to find which value makes the inequality true.

For 0:

8g < 4

8(0) < 4

0 < 4

This statemen is true, because 0 is less than 4

For 12:

8g < 4

8(12) < 4

96 < 4

This statemen is false, because 96 is NOT less than 4

For 2.5:

8g < 4

8(2.5) < 4

20 < 4

This statemen is false, because 20 is NOT less than 4

For 4:

8g < 4

8(4) < 4

32 < 4

This statemen is false, because 32 is NOT less than 4

Hope this helps!

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Determine the domain of the function (fog) (x) where f(x) = 3x-1/x-4 and g(x)=x+1/x
Mrac [35]

Answer:

(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)

Step-by-step explanation:

The given functions are f(x)=\frac{3x-1}{x-4} and g(x)=\frac{x+1}{x} .

We now composed the two functions to find:

(f\circ g)(x)=f(g(x))

\implies (f\circ g)(x)=f(\frac{x+1}{x})

\implies (f\circ g)(x)=\frac{3(\frac{x+1}{x})+1}{\frac{x+1}{x}-4}

\implies (f\circ g)(x)=\frac{4x+3}{1-3x}

This function is defined if the denominator is not zero.

1-3x\ne0

x\ne\frac{1}{3}

We write this in interval notation as:

(-\infty,\frac{1}{3})\cup (\frac{1}{3},\infty)

We need to be cautious here as x=0 is not in the domain of g(x).

Therefore the domain of (f\circ g)(x) is

(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)

4 0
3 years ago
N+(-n) = 3+ 15<br><br> Solve
Len [333]

Answer:

no solutions


Step-by-step explanation:

n+(-n) = 3+ 15

n+-n = 0

0= 18

False

There are no solutions

7 0
3 years ago
????????????????????
OlgaM077 [116]
The correct answer is:
measurement of one angle and length of one side
8 0
3 years ago
Lucia checked her online bank statement which shows the current balance is $412.76, pending withdrawals are $481.23, and pending
Inessa05 [86]

Considering the withdraws and credits, Lucia's current available balance is of $65.53.

<h3>How do we find a balance?</h3>

It is given by the sum of the money that the people has with the pending credits, and subtracted by the pending withdraws.

In this problem, we have that:

  • Lucia has $412.76, with pending credits of $134.00.
  • She has pending withdraws of $481.23.

Hence, her avaiable balance is given by:

412.76 + 134 - 481.23 = $65.53.

More can be learned about balances at brainly.com/question/26867415

8 0
2 years ago
Margot is trying to decide between cable and satellite TV. Cable has a package of $49.99 a month for the basic package, plus $9.
VashaNatasha [74]
The cost of cable (c) in terms of months (m) is
  c = (49.99 +9.95 +9.95 -10.00)m
  c = 59.89m

The cost of satellite TV (s) in terms of months is
  s = 125.00 +49.95m

The difference in price is ...
  s - c = (125 +49.95m) -(59.89m)
  s - c = 125 -9.94m

At 12 months, the difference in price is
  s - c = 125 -9.94*12 = 5.72
This number is positive, which means ...
  the Cable company will save Margot money over a 12-month period.

At 24 months, the difference in price is
  s - c = 125 -9.94*24 = -113.56
This number is negative, which means ...
  the Satellite TV company will save Margot money over a 24-month period.


_____
A graph of the costs shows a cross-over at 12.5 months. Until then, the Cable provider is less expensive. Over terms longer than that, the Satellite TV provider is less expensive.

3 0
3 years ago
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