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3 years ago

Please help answer this

Mathematics

2 answers:

saul85 [17]3 years ago

8 0

Answer:

Option D.

Step-by-step explanation:

The given inequality is $y\le -2x-2$ .

To graph this inequality, we need to graph the corresponding linear equation;

$y=-2x-2$

The intercepts are $(0,-2)$ and $(-1,0)$ .

Plot these two points and draw a solid straight line through them.

We then test the inequality with the point (0,0).

$0\le -2(0)-2$ .

$0\le -2$ .

This statement is false.

So we shade the lower half plane to obtain the graph in option D.

vaieri [72.5K]3 years ago

4 0

Answer:

Choice D is correct.

Step-by-step explanation:

We have given the inequality:

y<= -2x-2

Four graphs are given in the question.

We have to determine that which graph is the graph of the given inequality.

First, we draw the graph of corresponding linear equation

y= -2x-2

the intercepts are (-1,0) and (0,-2).

Mark these two points on the graph and draw a line passing through these point(meet these points).

Check the inequality put (0,0) in the inequality we get,

0<= -2

this is not true so shade the left side of the line this is the graph of inequality.

Choice D is correct.

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Viktor [21]

Answer:

Option B is correct.

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Step-by-step explanation:

To find the angle between the hands of a clock.

Given that:

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Since, there are 60 minutes on a clock.

$\frac{360^{\circ}}{60 minutes} = 6^{\circ} per minutes$

so, each minute is 6 degree.

The minutes hand on the clock will point at 15 minute,

then, its position on the clock is:

$(15) \cdot 6^{\circ} = 90^{\circ}$

Also, there are 12 hours on the clock

⇒Each hour is 30 degree.

Now, can calculate where the hour hand at 5:00 clock.

⇒ $5 \cdot 30 =150^{\circ}$

Since, the hours hand is between 5 and 6 and we are looking for 5:15 then :

15 minutes is equal to $\frac{1}{4}$ of an hour

⇒ $150+\frac{1}{4}(30) = 150+7.5 = 157.5^{\circ}$

Then the angle between two hands of clock:

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Therefore, the angle between the hands of a clock at 5: 15 is: 67.5 degree.

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3 years ago

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Hey there!

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Pachacha [2.7K]

Answer:

The third option listed: $\sqrt[3]{2x} -6\sqrt[3]{x}\\$

Step-by-step explanation:

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