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3 years ago

Solve for b. 4/3b+2=4-1/3b

Mathematics

1 answer:

Maksim231197 [3]3 years ago

4 0

Answer:

b = $\frac{6}{5}$

Step-by-step explanation:

Multiply through by 3 to clear the fractions.

4b + 6 = 12 - b ( add b to both sides )

5b + 6 = 12 ( subtract 6 from both sides )

5b = 6 ( divide both sides by 5 )

b = $\frac{6}{5}$

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Solve for x: 7x + 12 = 47

Inessa05 [86]

Answer:

7x + 12 = 47

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3 years ago

Selena babysits on the weekends. The equation y = 12x represents the amount of money she earns. What is the constant of proporti

Allushta [10]

Answer:

Step-by-step explanation:

To find constant: y=k/x

the constant there is only 12

the answer is 12

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---

y=12

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3 years ago

Read 2 more answers

What is the range of the following function:<br> y = 2(5^x) - 1

Orlov [11]

<h2>Hello!</h2>

The answer is:

The range of the function is:

Range: y>2

Range: (2,∞+)

To calculate the range of the following function (exponential function) we need to perform the following steps:

First: Find the value of "x"

So, finding "x" we have:

$y=2(5^{x}-1)\\\frac{y}{2}=5^{x}-1\\\\\frac{y}{2}-1=5^{x}\\\\Log_{5}(\frac{y}{2}-1)=Log_5(5^{x})\\\\x=Log_{5}(\frac{y}{2}-1)$

Second: Interpret the restriction of the function:

Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.

So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.

Hence, the range of the function is:

Range: y>2

Range: (2,∞+)

Note: I have attached a picture (the graph of the function) for better understanding.

Have a nice day!