/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 50 Evaluate \(y=9 x-2\) when \(x=0\... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 50

Evaluate \(y=9 x-2\) when \(x=0\).

Short Answer

Expert verified
y = -2 when x = 0

Step by step solution

01

Identify the given function

The given function is: y = 9x - 2
02

Substitute the given value of x into the function

We need to evaluate the function when x = 0. Substitute 0 in place of x in the function: y = 9(0) - 2
03

Simplify the expression

Simplify the right-hand side of the equation: y = 9(0) - 2 y = 0 - 2 y = -2

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Linear Equations
A linear equation is a type of equation that, when graphed, forms a straight line. It usually looks like this: \( y = mx + b \). Here, \( m \) is the slope of the line, and \( b \) is the y-intercept. In our example, the function is \( y = 9x - 2 \), where \( m = 9 \) and \( b = -2 \). This means our slope is 9, and the y-intercept is -2. The slope tells us how steep the line is, and the y-intercept tells us where the line crosses the y-axis. Understanding these parts makes it easier to work with linear equations.
Substitution
Substitution is a method used to replace a variable in an equation with a given value to simplify calculations. In the given exercise, we substitute \( x = 0 \) into the function \( y = 9x - 2 \). This step transforms the function from an equation with variables to one with numbers: \( y = 9(0) - 2 \). Substitution is a very useful method for evaluating functions at specific points.
Simplification
Simplification involves breaking down an expression into its simplest form. In the exercise, after substituting \( x = 0 \), we get \( y = 9(0) - 2 \). First, multiply 9 by 0 to get 0: \( y = 0 - 2 \). Finally, subtract 2 from 0 to get \( y = -2 \). Every step in the simplification process brings us closer to finding the actual value of the function. This process shows how you can turn a complex equation into a clear and simple answer.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Explain why the slope of a horizontal line is always zero.

Use the slope formula to find the slope of the line that passes through the points. \(\left(-8, \frac{1}{4}\right) ;\left(16, \frac{1}{2}\right)\)

Use the slope formula to find the slope of the line that passes through the points. \((-30,55) ;(-5,80)\)

(a) represent the information as two ordered pairs. (b) find the average rate of change, \(m\). The number of traffic fatalities in Kentucky decreased from 985 deaths in 2005 to 760 deaths in 2010 . (Source: www-nrd.nhtsa.dot.gov)

The completed problem has one mistake. (a) Describe the mistake in words, or copy down the whole problem and highlight or circle the mistake. (b) Do the problem correctly. Problem: Find the \(x\)-intercept of \(9 x+2 y=36\). Incorrect Answer: \(9 x+2 y=36\) $$ \begin{aligned} 9(0)+2 y &=36 \\ 2 y &=36 \\ \frac{2 y}{2} &=\frac{36}{2} \\ y &=18 \end{aligned} $$ The \(x\)-intercept is \((0,18)\).
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.