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Rasek [7]
3 years ago
12

If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?

Mathematics
1 answer:
Vlad1618 [11]3 years ago
3 0
<h3>Answer:  29</h3>

=================================

Work Shown:

Solve the second equation for f(b)

2f(b) = 28

f(b) = 28/2

f(b) = 14

----------

Plug in x = b and solve for b

f(x) = 3x-1

f(b) = 3b-1 ... replace every x with b

14 = 3b-1 ..... plug in f(b) = 14

3b-1 = 14

3b = 14+1

3b = 15

b = 15/3

b = 5

-----------

f(x) = 3x-1

f(2b) = 3(2b)-1 .... replace every x with 2b

f(2b) = 3(2*5)-1 .... plug in b = 5

f(2b) = 3*10-1

f(2b) = 30-1

f(2b) = 29

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Sutopa has 3/4 of the money Maneet has. Maneet has $18 less than Kim. Together, they have $286.40. How much money does each of t
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Solving a system of equations we can see:

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  • Kim has $115.60

<h3>How much money each of them has?</h3>

First, let's define the variables:

  • S =  money that Sutopa has.
  • M = money that Maneet has.
  • K = money that Kim has.

We can write the system of equations:

S = (3/4)*M

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S + M + K = $286.40

First, we can rewrite the second equation to get:

K = M + $18

Now we can replace the first and second equations into the third one:

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Now we can solve this for M:

M*(1 + 1 + 3/4) = $286.40 - $18

M = $268.40*(4/11) = $97.60

Now we can find the other two values:

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brainly.com/question/13729904

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2 years ago
Which of the following is not a way to represent the solution of the inequality 2(x + 1) greater than or equal to 20?
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Answer:

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Step-by-step explanation:

we have

2(x+1)\geq 20

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2x+2\geq 20

Subtract 2 both sides

2x+2-2\geq 20-2

2x\geq 18

Divide by 2 both sides

x\geq 9 --------> is equivalent to 9 \leq x

The solution is the interval--------> [9,∞)

All real numbers greater than or equal to 9

A number line with a closed circle on  9 and shading to the right

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