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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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rewona [7]

the answer would be -6

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3 years ago
Carlos has 38 apples.He puts 8 into each bag.If he fills many bags as possible ,how many apples are left?
leva [86]
Well that would be 8 apples in 4 bags so there’s 6

answer: 6
7 0
3 years ago
A circle is inscribed in a square. Write and simplify an expression for the ratio of the area of the square to the area of the c
STALIN [3.7K]
 Best Answer:<span>  </span><span>So first we need both areas, then we can relate them, and then divide the circle by the square: 

A(circle) = πr^2 
A(square) = L*W or (2r)*(2r) which is (2r)^2 

For the square, we know this is true because because the radius is half the diameter, so if we multiply the radius by 2, we get the length of one side of the square. We also know that the lengths of both sides of the square are the same by definition of a square. 

Ratio: (πr^2)/(4r^2) = π/4</span>
8 0
3 years ago
The volume of the shape below is 6 square units. Determine the volume of the shape in two different ways.
REY [17]

The volume of the shape is 6 cubic units

<h3>How to determine the volume of the shape?</h3>

<u>Method 1</u>

From the figure, we can see that:

  • There are 6 cubes in the figure
  • The dimensions of the cubes are equal
  • The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Number of cubes * Volume of each cube

Substitute the known values in the above equation

Volume = 6 * 1

Evaluate

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<u>Method 2</u>

From the figure, we can see that:

  • There are 6 cubes in the figure
  • 2 cubes at the top and 4 at the bottom
  • The dimensions of the cubes are equal
  • The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Top cubes +  Bottom cubes

This gives

Volume = 2 * Volume of each cube + 4 * Volume of each cube

Substitute the known values in the above equation

Volume = 2 * 1 + 4 * 1

Evaluate

Volume = 6

Hence, the volume of the shape is 6 cubic units

Read more about volumes at:

brainly.com/question/1972490

#SPJ1

5 0
1 year ago
I got more questions
Liono4ka [1.6K]

Answer:

a,d,c

Step-by-step explanation:

4 0
2 years ago
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