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3 years ago

Solve: x^2-x-12÷x+5 ≥ 0

Mathematics

1 answer:

pav-90 [236]3 years ago

5 0

Answer:

Step-by-step explanation:

x3−x2+5x−12

≥0

Let's find the critical points of the inequality.

x3−x2+5x−12

x3−x2+5x−12=0(Multiply both sides by x)

(Use cubic formula)

x=1.836169

Check possible critical points.

x=1.836169(Works in original equation)

Critical points:

x=1.836169(Makes both sides equal)

x=0(Makes left denominator equal to 0)

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<0(Works in original inequality)

0<x≤1.836169(Doesn't work in original inequality)

x≥1.836169(Works in original inequality)

Answer:

x<0 or x≥1.836169

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mel-nik [20]

Answer:

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Step-by-step explanation:

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speed = distance/time

b-c = 29.5/2 = 14.75 . . . . . miles/hour

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Subtracting the first equation from the second, we get ...

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The speed of the boat in still water is 17.25 miles per hour; the speed of the current is 2.5 miles per hour.

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4 years ago

Miss Green tells you that a right triangle has a hypotenuse of 13 and a leg of 5 she asked you to find the other leg of the tria

Natalka [10]

Answer:

The other leg of the triangle is 12.

Step-by-step explanation:

Given:

Hypotenuse of triangle is 13 and a leg(Leg1) is 5.

Let, the other leg of the triangle (Leg2) be $x$ .

Now, putting the formula:

$(Hypotenuse)^{2}=(Leg1)^{2}+(Leg2)^{2}$

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⇒ $169-25=x^{2}$

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Taking square root both sides

⇒ $12=x$

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4 years ago

A circular flower bed in a botanical garden with a radius of 4 feet

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3 years ago

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4 years ago

The area of a rectangle increased by seven is the same as for less than twice the area of the rectangle. Right and solve an equa

never [62]

Answer:

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Step-by-step explanation:

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3 years ago