Questions: Reciprocal Functions Rationalfunctions Find the y-intercept. y=(5x-15)/(x+3) (0,[?])

Reciprocal Functions Rationalfunctions Find the y-intercept. y=(5x-15)/(x+3) (0,[?])
Transcript text: Reciprocal Functions Rationalfunctions Find the $y$-intercept. \[ \begin{array}{c} y=\frac{5 x-15}{x+3} \\ (0,[?]) \end{array} \]
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the y-intercept

To find the \( y \)-intercept, substitute \( x = 0 \) into the equation \( y = \frac{5x - 15}{x + 3} \).

Step 2: Substitute \( x = 0 \) into the equation

Substitute \( x = 0 \): \[ y = \frac{5(0) - 15}{0 + 3} \]

Step 3: Simplify the expression

Simplify the numerator and denominator: \[ y = \frac{-15}{3} = -5 \]

The \( y \)-intercept is \( (0, -5) \).

Final Answer

\(\boxed{(0, -5)}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
The urge on the previous shift was closed drainage system for a patient with a new pleural chest tube. The nurse on the current shift assesses the system and notices that: O. D. Add more water to the water seal chamber O. C. Increase the suction on the wall regulator O. B. Remove water in the sealing grommet O. A. Set up a new closed drainage system Which action is the most appropriate?
failedAnswered
On Melissa's 6th birthday, she gets a 3000 CD that earns 3% interest, compounded semiannually. If the CD matures on her 12th birthday, how much money will be available? The amount available will be .
failedAnswered
Using the EOM, ROG, and Extra dating methods, calculate the discount date and the net date for the transaction. Unless otherwise specified, the net date is 20 days after the discount date.
failedAnswered
the measure of the missing angle.
failedAnswered
Recently, a random sample of 25-34 year olds was asked, "How much do you currently have in savings, not including retirement savings?" The data in the table represent the responses to the survey. Approximate the mean and standard deviation amount of savings. The sample mean amount of savings is 225 (Round to the nearest dollar as needed) The sample standard deviation is . (Round to the nearest dollar as needed.)