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Nesterboy [21]
3 years ago
5

What are the roots of the equation? x^2(5x−7)(3x+2)=0

Mathematics
2 answers:
lisov135 [29]3 years ago
7 0

x = 0, x = \frac{7}{5}, x = - \frac{2}{3}

since we have a product of factors equal to zero, equate each factor to zero and solve for x

x² = 0 ⇒ x = 0 ( multiplicity 2 )

5x - 7 = 0 ⇒ x = \frac{7}{5}

3x + 2 = 0 ⇒ x = - \frac{2}{3}


Anit [1.1K]3 years ago
5 0

do you need to show your work

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horsena [70]

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

<h3>What is the distance?</h3>

Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position

We know that r × t = d

r = rate of speed

t = time

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For the motor boat

9 × t = d = rate × time

For the tour boat

27 × (t - 2) = d = rate × time

When they both cover the same distance in the same amount of time, they will eventually cross paths.

They both cover the same d-mile distance, so:

9 ×t = 27 × (t - 2)

Simplify to get:

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18 t = 54

t = 3

The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.

The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

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8 0
2 years ago
How do i solve for x
GarryVolchara [31]

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Step-by-step explanation:

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48+24=72

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