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3 years ago

Please help Write an inequality for the given graph

Mathematics

1 answer:

Oduvanchick [21]3 years ago

8 0

Answer:

y < 1/2x - 3

Step-by-step explanation:

You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.

This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >. Use the point (0,0) to test which sign is appropriate.

y < 1/2x - 3 y > 1/2x - 3

0 < 1/2(0) - 3 0 > 1/2(0) - 3

0 < -3 0 > -3

The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.

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State the domain and range for the function. f(x)=3 cot (2x)

m_a_m_a [10]

Answer: Domain = $(\infty,-\infty)$ .

Range = [-3,3] .

Step-by-step explanation:

The given function : $f(x) = 3\cot (2x)$

Parent function to this function, $g(x)= \cos x$ which is a trigonometric function.

The property of this function is :

x can take any value , so Domain of this function is $(\infty,-\infty)$ .
Also, $-1\leq\cos x\leq1$ , so Range of this function is $[-1,1]$ .

Now , for the given function,

Domain would be same as g(x),i.e. Domain of f(x) is $(\infty,-\infty)$ .

Also, $-1\leq\cos x\leq1\Rightarrow\ -3\leq3\cos x\leq3$

So , Range of f(x) is [-3,3]

Hence, the domain and range for the function $f(x) = 3\cot (2x)$ is

Domain = $(\infty,-\infty)$ .

Range = [-3,3] .

4 0

3 years ago

14. Oceans cover what percentage of the Earth's surface?

Mazyrski [523]

Answer:

71%

Step-by-step explanation:

There is 97% of water in the ocean yet on 70% covers the earths surface.

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3 years ago

Find the cost of fencing a rectangular Park of length 150 and breadth 100 at the rate of 20 per metre

Lyrx [107]

Answer:

Rs 300000

Step-by-step explanation:

Given that,

Length of a rectangular park, l = 150 m

Breadth, b = 100 m

We need to find the cost of fencing the park at the rate of 20 per metre. The area of a rectangle is given by :

A = lb

So,

$A=150\times100\\\\A=15000\ m^2$

Cost of fencing,

$C=15000\times 20\\\\C=Rs\ 300000$

So, the required cost is Rs 300000.

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3 years ago

Simplify -3p - 2m + 8p - 7m

Nadya [2.5K]

After you combine like terms you will get 5p - 9m.

-3p + 8p is the same thing as 8p - 3, so you get 5p.
-2m + (-7m) is -9m

-3p and 8p are like terms.
-2m and -7m are also like terms.

7 0

4 years ago

Line j passes through the points (-5,-2)

Lisa [10]

Answer:

y=-1x+1

Step-by-step explanation:

7 0

3 years ago

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