1/5 of 400 = 80
400 x 1/5 = 400/5
400/5 = 80
Answer:
R(x) - S(x) = 9x + 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
R(x) = 6x - 3
S(x) = -3x - 8
<u>Step 2: Find</u>
- Substitute in functions: R(x) - S(x) = 6x - 3 - (-3x - 8)
- [Distributive Property] Distribute negative: R(x) - S(x) = 6x - 3 + 3x + 8
- [Addition] Combine like terms: R(x) - S(x) = 9x + 5
Answer:
25 kilograms
Step-by-step explanation:
Step-by-step explanation:
Given the linear equation, y = ⅔x + 1, where the <u>slope</u>, m = ⅔, and the y-intercept, (0, 1) where<em> b</em> = 1.
<h3><u>Start at the y-intercept:</u></h3>
In order to graph the given linear equation, start by plotting the coordinates of the y-intercept, (0, 1). As we know, the <u>y-intercept</u> is the point on the graph where it crosses the y-axis. It coordinates are (0, <em>b</em>), for which the value of b represents the value of the y-intercept in slope-intercept form, y = mx + b.
<h3><u>Plot other points using the slope:</u></h3>
From the y-intercept, (0, 1), we must use the slope, m = ⅔ (<em>rise</em> 2, <em>run</em> 3) to plot the other points on the graph. Continue the process until you have sufficient amount of plotted points on the graph that you could connect a line with.
Attached is a screenshot of the graphed linear equestion, which demonstrates how I plotted the other points on the graph using the "rise/run" techniques" discussed in the previous section of this post.