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solmaris [256]
3 years ago
9

If x is a positive integer, for how many different values of x is StartRoot StartFraction 48 Over x EndFraction EndRoot a whole

number?
Mathematics
2 answers:
DiKsa [7]3 years ago
7 0

Answer:

For 3 different values of x

Step-by-step explanation:

Here, we want to get the values of x for which

√(48/x) is a whole number

We have to consider that the values of x that will make the expression a whole number must be less than or equal to 48

Also, we have to consider that, the division we have to make must yield a perfect square so as to have a whole number square root

The factors of 48 that can yield a whole number are;

1,2,3,4,6,8,12,16,24 and 48

However, the divisions that can yield a perfect square are

3 (yield 16)

12 ( yield 4)

48 ( yield 1)

So the numbers of the value of x that can yield a whole number is 3

Novosadov [1.4K]3 years ago
5 0

Answer:

B: 3

Step-by-step explanation:

edg 2020

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Which inequality represents all values of x for which the quotient below is
Gnom [1K]

You can re-write this quotient this way :

\frac{\sqrt{28(x-1)}}{\sqrt{8x^{2} }} = \sqrt{ \frac{28(x-1)}{8x^{2} } }\\

What's inside the square root must be greater than or equal to 0, because the domain of the square root function is defined on R+ (which is [0,+∞))

In other word we must find x so that :

\frac{28(x-1)}{8x^{2}}\geq 0

at the end we get

28(x-1) ≥ 0

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3 years ago
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Leya [2.2K]

96 is close to 100

.499 is close to .5

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4 0
3 years ago
Suppose that you had two squares, a small one and a large one. The area of the large square is twice that of the small square. H
WARRIOR [948]

Answer:

The side length of the large square is √2 times larger than the side length of the small square.

Step-by-step explanation:

Suppose we have a small square (square 1) and a large square (square 2). The area of the large square is twice that of the small square, that is,

A₂ = 2 A₁

A₂/A₁ = 2 [1]

The area of a square is equal to the length of the side (l) raised to the second power.

A = l²

l = √A

The ratio of l₂ to l₁ is:

l₂/l₁ = √A₂ / √A₁ = √(A₂/A₁)

We can replace [1] in the previous expression.

l₂/l₁ = √2

The side length of the large square is √2 times larger than the side length of the small square.

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3 years ago
(4x5)+6x4+(9-3) (5+6) show your work
Shkiper50 [21]

Answer:

110

Step-by-step explanation:

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