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dmitriy555 [2]
3 years ago
14

Which graph represents the solution set for the inequality -8 < 8 + 4x < 28

Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:

The solution set for the inequality is the interval (-4, 5)

Step-by-step explanation:

-8 < 8 + 4x < 28

Subtracting 8:

-8 -8 < 8 + 4x - 8 < 28 - 8

-16 < 4x < 20

Dividing by 4:

-16/4 < 4x/4 < 20/4

-4 < x < 5

x ∈ (-4, 5)

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Answer: 300

Step-by-step explanation:

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3 years ago
Read 2 more answers
A submarine left Diego Garcia five hours before a cruise ship. The ships traveled in opposite directions. The cruise ship travel
Rina8888 [55]

Answer:

The speed of the submarine is 15.429 miles per hour.

Step-by-step explanation:

Let suppose that both ships travel at constant velocities. As we know that both travel in opposite directions, it is supposed that cruise ship moves in +x direction, whereas submarine in -x direction. Kinematic equations for each sheep are described below:

Ship

x_{Sh} = x_{o} + v_{Sh}\cdot t

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x_{Su} = x_{o}+v_{Su}\cdot t

Where:

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x_{Sh}, x_{Su} - Current positions of ship and submarine, measured in miles.

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If we know that x_{Sh} - x_{Su} = 241\,mi, v_{Sh} = 19\,\frac{mi}{h} and t = 7\,h, then:

x_{Sh} - x_{Su} = (v_{Sh}-v_{Su})\cdot t

We clear now the velocity of submarine:

\frac{x_{Sh}-x_{Su}}{t} = v_{Sh}-v_{Su}

v_{Su} = v_{Sh}-\frac{x_{Sh}-x_{Su}}{t}

v_{Su} = 19\,\frac{mi}{h} -\frac{241\,mi}{7\,h}

v_{Su} = -15.429\,\frac{mi}{h}

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3 years ago
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Step-by-step explanation:

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