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2 years ago

Which equation represents a linear function 2ry+y= 9 , y=12r-5 , 3y+r2+t=0, 4r+2(y-1)=0

1 answer:

3 0

The equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.

<h3>What is linear function?</h3>

Linear function is the function in which the highest power of the unknown variable is one. Linear functions are used to model the real life problem in the mathematical expressions.

The linear function with dependent variable y and independent variable x can be written as,

y=mx+c

Here, m is the slope of the line represented by the function and c is the y intercept.

The equation given in the problem are,

2ry+y= 9

y=12r-5

3y+r2+t=0

4r+2(y-1)=0

The second option is similar to the standard linear function.

Hence, the equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.

Learn more about the linear function here;

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The fifth term of a geometric sequence is 781.25. Each term of the sequence is 1/5 of the value of the following term. Which rec

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The recursive formula of the geometric sequence is $a_{n} = 5a_{n-1}$ and a1 = 1.25

<h3>How to determine the recursive formula?</h3>

The given parameters are:

Fifth term = 781.25

Term = 1/5 * following term

The second parameter above means that:

$a_n = \frac{1}{5} * a_{n+ 1}$

Multiply both sides by 5

$a_{n+1} = 5a_n$

Remove 1 from the terms

$a_{n} = 5a_{n-1}$

Using the formula $a_n = \frac{1}{5} * a_{n+ 1}$ , we have the first term to be:

$a_1 = \frac 15 * a_2$

$a_2 = \frac 15 * a_3$

$a_3 = \frac 15 * a_4$

$a_4 = \frac 15 * a_5 = \frac 15 * 781.25 = 156.25$

So, we have:

$a_3 = \frac 15 * 156.25 = 31.25$

$a_2 = \frac 15 * 31.25 = 6.25$

$a_1 = \frac 15 * 6.25 = 1.25$

Hence, the recursive formula is $a_{n} = 5a_{n-1}$ and a1 = 1.25

Read more about recursive sequence at:

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