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2 years ago

Determine where the given function is concave up and where it is concave down.

Mathematics

1 answer:

valentina_108 [34]2 years ago

4 0

Answer:

concave up

Step-by-step explanation:

there is no negatives in the equation (in front of x-value)

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The given line passes through the points (−4, −3) and (4, 1).

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The slope of the line that passes through points $(x_1,y_1) \text{ and } (x_2,y_2)$ is

$\dfrac{y_2-y_1}{x_2-x_1}.$

For the points (-4,-3) and (4,1) the slope is

$\dfrac{1-(-3)}{4-(-4)}=\dfrac{4}{8}=\dfrac{1}{2}.$

Two perpendicular lines have slopes that form product of -1, then the slope of perpendicular line is $-\dfrac{1}{\frac{1}{2}}=-2.$

The line that passes through the point (−4, 3) and has slope -2 has equation:

$y-3=-2(x+4),\\y=-2x-8+3,\\y=-2x-5.$

Answer: y=-2x-5.

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4 years ago

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I think it would be D

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3 years ago

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3 years ago

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vladimir1956 [14]

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18. 3km is bigger

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20. 10km is bigger

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22. 55mm is bigger

23. 1km is bigger

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3 years ago