You are to graph <span>y = |1.6x – 2| – 3.2. I trust you know that the graph of y=|x| is v-shaped, opening up, with vertex at (0,0).
Let's rewrite </span><span>y = |1.6x – 2| – 3.2 by factoring 1.6 out of |1.6x - 2|:
</span><span>y = 1.6*|x – 2/1.6| – 3.2
This tells us that the vertex of </span><span>y = |1.6x – 2| – 3.2 is at (2/1.6, -3.2). If you need an explanation of why this is, please ask.
Plot the vertex at (1.25, -3.2).
Find the y-intercept: Let x = 0 in </span><span>y = |1.6x – 2| – 3.2 and find y:
y = 2-3.2 = -1.2
The y-intercept is located at 0, -1.2)
Plot this y-intercept.
Now draw a straight line from the vertex to this y-intercept. Reflect that line across the y-axis to obtain the other half of the graph.</span>
" 8 more "....means add 8
" twice a number " means multiply the number by 2
ur expression is : 2n + 8
Answer:
2 5/9 is less than 21/3; 2 5/9 < 21/3
Step-by-step explanation:
<u>Step 1: Convert 2 5/9 into an improper fraction</u>
2 5/9 = 2 * 9/9 + 5/9 = 18/9 + 5/9 = 23/9
<u>Step 2: Convert 21/3 so the denominator is 9</u>
21*3 / 3*3 = 63/9
<u>Step 3: Compare</u>
<em>23/9 < 63/9</em>
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Answer: 2 5/9 is less than 21/3; 2 5/9 < 21/3
It is in the form y = mx + b. therefore it is linear.
