Noah made 12 \text{ kg}12 kg12, start text, space, k, g, end text of trail mix for his family's hiking trip. His family ate 8{,}
1 answer:
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Here are a couple I found:
<u>Similarities</u>:
- They have the same y-intercept of (0,5).
- They are both in slope-intercept form.
<u>Differences</u>:
- The line of y = -13x + 5 "falls" from left to right. The line of y = 2x + 5 "rises" from left to right.
- They have different x-intercepts. (y = 2x + 5 intersects (-
, 0) while y = -13x + 5 intersects at (
, 0)
<u></u>
<u>Explanation</u>:
Slope-intercept form is y = mx + b, and by looking at the equations, they both already fit that format, with m as their slope and b as their y-intercept. Also, since they both have a 5 as that "b," their y-intercepts are the same: (0,5).
As for differences, we can see that the coefficient in place of that "m" is positive in y = <u>2x</u> + 5 and negative in y = <u>-13x</u> + 5. Therefore, one line would rise due to their slope being positive and one would fall due to their slope being negative. They also have two different x-intercepts, which we can calculate by substituting 0 in place of the y, then isolating x.
<h3><u>Question:</u></h3>
Identify a3 of this sequence: 0.25, 0.5, 0.75, 1, 1.25, 1.5,...a3=
<h3><u>Answer:</u></h3>The third term of sequence is 0.75
Given that, sequence is:
0.25, 0.5, 0.75, 1, 1.25. 1.5
Let us find the difference between terms
This is a arithmetic sequence
Because the difference between any term and its immediately preceding term is always 0.25
In a arithmetic sequence,
Thus, in the sequence 0.25, 0.5, 0.75, 1, 1.25. 1.5
Thus the third term of sequence is 0.75