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goblinko [34]
3 years ago
5

Explain in your own words the difference between a solid boundary line and a dashed boundary line on a graph of systems of inequ

alites. Elaborate on what it would mean for a solution to fall on a dashed boundary line in a system.
Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0
A solid line would represent points on the graph that actually are included in the solution, while points that lie on dash lines aren’t included in the solution
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What is 5 +5 ...........
makkiz [27]
5 + 5 is 10...

Start with 5 on one hand and use the other hand (count 5 on that one)

Word problem to make this a little bit 'simplier'

You have 5 squares (◾◾◾◾◾) and you tag along have more (◾◾◾◾◾). How many do you have all together? 10 squares.

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At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
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Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

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From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

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Therefore,

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4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

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Aleks [24]
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See attached picture for answer:

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