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2 years ago

Y = -x2 + 733 + 73x – 520

Mathematics

2 answers:

gayaneshka [121]2 years ago

6 0

0=-2x+733+73x-520
0=71x+733-520
0=71x+213
-71x=213
x=-3

denis23 [38]2 years ago

5 0

If only finding X
x= -3

If only finding Y
y = 213

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Step-by-step explanation:

Given the solution to an inequality

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The solution set does not include $\dfrac23$ , therefore, it must be open at the left. Recall that we use a curvy bracket ( to denote openness at the left.

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3 years ago

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3 years ago

Jesse is sanding a circular wooden table that has a diameter of 6 ft. She can sand 5 square feet every hour. At this rate, appro

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The time it will take Jesse to finish sanding the table is approximately 22.61 hours.

<h3>How to find the area of a circle?</h3>

Suppose the circle has radius of 'r' units, then, its area is given as:

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Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

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For the given case, sanding being done needs to be equal to the area of the circular table, as it has to be done for whole table's surface, which is circular, and area of sanding done will be equal to the area of that circular table.

The area of table(diameter given as 6 ft) is: $A = \pi \times (\dfrac{d}{2})^2 \approx 3.14 \times 6^2 = 113.04 \: \rm ft^2$

Since Jesse does 5 sq. feet per hour, let she takes T hours time to finish sanding the table, then we have:

$\rm T \times 5\: ft^2 = A \approx 113.04 \: ft^2\\\\\text{Dividing all sides by 5, we get}\\\\T = \dfrac{113.04}{5} \approx 22.61 \: hours$

(since 5 sq. feet in 1 hours, then in T hours, T times 5 sq. feet will be done which is equal to area of table, as in approx T hours, she finishes sanding the table)

Thus, it will take approx 22.61 hours for Jesse to finish sanding the table.

Learn more about area of circle here:

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2 years ago

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3 years ago

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see explanation

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