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ioda
2 years ago
14

Write an equation for the graph below in slope-intercept form:

Mathematics
1 answer:
Zanzabum2 years ago
8 0

Answer: y<1x-2

Step-by-step explanation:

Find some coordinates on the line to write a slope intercept form equation for the line and turn it into inequality.

First we need to find the slope and the y-intercept. The y intercept is when x is 0 and as we can see it  already indicates that the y intercept is -2 .

(0,-2)

(2,0)   Use these points o the find the slope.

0- 2 = -2

-2 -0 = -2

-2/-2 = 1   The slope is one so the equation will be y = 1x - 2   But since this is not an inequality we have to change the equal to sign to an inequality sign.

Looking at the line, it is a dashed line so the inequality sign will be > or <  

The painted side of the graph represents the solutions of the graph  and that is all underneath the graph so the inequality will be   y < 1x-2

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3 years ago
Avery has aleady spent 1 minute on the phone, and she expects to spend 3 more minutes with every phone call she routes. Write an
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4 0
2 years ago
I think I know this much so far for A (but I could be wrong):
Eduardwww [97]
Part A. You have the correct first and second derivative.

---------------------------------------------------------------------

Part B. You'll need to be more specific. What I would do is show how the quantity (-2x+1)^4 is always nonnegative. This is because x^4 = (x^2)^2 is always nonnegative. So (-2x+1)^4 >= 0. The coefficient -10a is either positive or negative depending on the value of 'a'. If a > 0, then -10a is negative. Making h ' (x) negative. So in this case, h(x) is monotonically decreasing always. On the flip side, if a < 0, then h ' (x) is monotonically increasing as h ' (x) is positive.

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Part C. What this is saying is basically "if we change 'a' and/or 'b', then the extrema will NOT change". So is that the case? Let's find out

To find the relative extrema, aka local extrema, we plug in h ' (x) = 0
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so either
-10a = 0 or (-2x+1)^4 = 0
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6 0
3 years ago
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3 years ago
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