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3 years ago

Is 3.4 a rational number

Mathematics

1 answer:

Alex777 [14]3 years ago

5 0

3.4 is a rational number, because it is not a repeating decimal

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

BartSMP [9]

Answer:

x -y =4

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

= (1- -4)/(5 - 0)

= (1+4)/(5-0)

5/5

= 1

Then we can use slope intercept form

The slope is 1 and the y intercept is -4

y = mx+b

y = 1x-4

We want it in standard form

Ax + By = C where A is a positive integer

Subtract x from each side

-x +y = -4

Multiply by -1

x -y =4

8 0

3 years ago

What is the extraneous solution found in solving the equation log2 4x + log₂ (x + 1) = 3

yan [13]

Answer:

x = -2

Step-by-step explanation:

We are given the logarithmic base 2 equation of:

$\displaystyle{\log_2 (4x) + \log_2 (x+1) = 3}$

Apply logarithm property of addition where:

$\displaystyle{\log_a M + \log_a N = \log_a MN}$

Therefore, we will write new equation as:

$\displaystyle{\log_2 [4x(x+1)] = 3}$

Apply logarithm to exponential form using:

$\displaystyle{\log_a M = N \to a^N = M}$

Thus, another new rewritten equation is:

$\displaystyle{2^3 = 4x(x+1)}\\\\\displaystyle{8 = 4x(x+1)}\\\\\displaystyle{2=x(x+1)}$

Expand the expression in and arrange the terms in quadratic expression:

$\displaystyle{2=x^2+x}\\\\\displaystyle{0=x^2+x-2}\\\\\displaystyle{x^2+x-2=0}$

Solve for x:

$\displaystyle{(x+2)(x-1)=0}\\\\\displaystyle{x=-2,1}$

These are potential solutions to the equation. To find extraneous solution, you’ll have to know the domain of logarithm function. We know that logarithm’s domain is defined to be greater than 0. Henceforth, anti-logarithm must be greater than 0.

( 1 ) 4x > 0, x > 0

( 2 ) x + 1 > 0, x > -1

Therefore, our anti-log must be greater than 0, so any solutions that are equal or less than 0 will be considered as extraneous solution.

Hence, x = -2 is the extraneous solution.

7 0

2 years ago

100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) At a cost of $200, your club bought 175 frisbees to sell at the pep rally.

ivann1987 [24]

Answer:

it would be 675

Step-by-step explanation:

you would of earned 875 by times 175 times 2 then you subtract 200 for the cost

8 0

4 years ago

A square piece of tissue paper has sides that are 12 centimeters long. What is the tissue

slega [8]

Answer:

Step-by-step explanation:

A square has 4 sides of equal length. 12 x 4=48

7 0

4 years ago

Read 2 more answers

2/5 divided 1/3 give answer in simplest form as a mixed number

Alex777 [14]

It would be 1 1/5. When you divide a fraction you would take the second fraction and flip it and then multiply the two

3 0

2 years ago