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Free_Kalibri [48]
3 years ago
11

Find the relative minimum of y = 3x^3 + 14x^2 - 11x - 46(___, ___)​

Mathematics
1 answer:
Darina [25.2K]3 years ago
6 0

Answer:

(0.353, -48)

Step-by-step explanation:

dy/dx = 9x² + 28x - 11 = 0

Using the quadratic formula:

x = -3.46 and 0.353

d²y/dx² = 18x + 28

Minima when d²y/dx² is positive

x = 0.35284 or (-14+sqrt(295))/9

y = 3x³ + 14x² - 11x - 46

y = -48.00651351

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A lawn company advertises that they can spread 7,500 square feet of grass In 2 1/2 hours find the number of square feet of grass
Svetradugi [14.3K]
Ok in one hour the company can spread 3,000 square feet or sqft.

First we need to see which numbers make sense out of 7,500. First we remove the 500 and have 7,000, then we separate 3,000 and for each hour and we are left with 1,000 from here and the 500 we took out before. Now we have a total of 1,500 for the half hour which makes sense because if you add 1,500 for half an hour an 1,500 for another half an hour you get a total of 3,000 which is what we got for the hours above and if you add 3,000 which is for one hour and add 3,000 for the other hour or multiple 3,000 *2 which is the same thing as adding it twice and then add 1,500 for the half hour we get 7,500 total which means 3,000 I'd how much the company can spread in one hour.

3 0
3 years ago
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mafiozo [28]

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5 0
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Read 2 more answers
Lexi said that two lines
omeli [17]

Answer:

Step-by-step explanation:

The easy way to make 2 perpendicular lines is let one be x = 3 and let y = 2.

The third line can be anything that has a minus sign in front of the x. See the graph below. The third line cannot be perpendicular to the other 2.

Sorry, the bottom of the graph got cut off. If you print out the graph and extend the vertical line and the slanted line, you will see how this works.

The three lines are

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7 0
2 years ago
Which of these systems has one unique solution?
Shtirlitz [24]

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D

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laiz [17]

Answer:

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First find the slope of the line

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This is in slope intercept form

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-9/2 + 1/3 = -8/3

3 0
4 years ago
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