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sergeinik [125]
3 years ago
8

Need help... Fast! will give brainiest What is the solution set of x/4 < 9/x ?

Mathematics
1 answer:
Ivenika [448]3 years ago
7 0

Answer:

Option (4)

Step-by-step explanation:

Given inequality is,

\frac{x}{4}\leq \frac{9}{x}

\frac{x}{4}-\frac{9}{x}\leq 0

\frac{x^{2}-36}{4x}\leq 0

x ≥ 0 [For x = 0, fraction is not defined]

(x - 6)(x + 6) ≤ 0

x - 6 ≤ 0

x ≤ 6

Or

x + 6 ≤ 0

x ≤ -6

Therefore, solution set is (-∞, -6] ∪ (0, 6]

By plotting the solution area on a number line,

Option (4) will be the answer.

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A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Dir
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Answer:

A. The difference in height between the pelican and the heron is -33 feet.

E. The difference in height between the pelican and the trout is 40 feet.

F. The distance between the heights of the pelican and the trout is 40 feet.

Step-by-step explanation:

<h3> The missing statements are:</h3><h3> A. The difference in height between the pelican and the heron is -33 feet</h3><h3> B. The difference in height between the pelican and the heron is 33 feet</h3><h3> C. The distance between the heights of the pelican and heron is -33 feet</h3><h3> D. The difference in height between the pelican and the trout is -40 feet</h3><h3> E. The difference in height between the pelican and the trout is 40 feet</h3><h3> F. The distance between the heights of the pelican and the trout is 40 feet.</h3><h3 />

Let be 0 the sea level.

Since the heron is perched in a tree 50 feet above sea level and directly below the heron the  pelican is flying 17 feet above sea level, you can find the difference in height between the pelican and the heron by subtracting 50 feet from 17 feet.

Then, you get that this is:

17\ feet-50\ feet=-33\ feet

Now, according the the information given in the exercise, you know that the trough is swimming directly below them and its height is 23 feet below sea level. If you represent this with an integer, this is:

-23

Therefore you can find the difference in height between the pelican and the trout through the following subtraction:

17\ feet-(-23\ feet)=17\ feet+23\ feet=40\ feet

And the distance between them is 40 feet too.

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