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3 years ago

Which expressions can never result in a negative real number when evaluated for any value of x? Select all that apply.

Mathematics

1 answer:

kolezko [41]3 years ago

7 0

It is 5 beacause the x^1/3

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Can someone explain this to me.

almond37 [142]

Answer:

option D

$3*(\sqrt{x}+\sqrt{x-3})$

Step-by-step explanation:

Given in the question an expression,

$\frac{9}{\sqrt{x} -\sqrt{x-3}}$

Step 1

Divide and multiple by $\sqrt{x}+\sqrt{x-3}$ to remove radical sign from denominator.

$\frac{9}{\sqrt{x} -\sqrt{x-3}}*\frac{\sqrt{x} +\sqrt{x-3}}{\sqrt{x} +\sqrt{x-3}}$

Step 2

Apply a² - b² = (a+b)(a-b)

$\frac{9*\sqrt{x}+\sqrt{x-3}}{\sqrt{x^{2}}-\sqrt{(x-3)^{2}}}}$

Step 3

$\frac{9*\sqrt{x}+\sqrt{x-3}}{x-x+3}$

Step 4

$\frac{9*\sqrt{x}+\sqrt{x-3}}{3}$

Step 5

$3*(\sqrt{x}+\sqrt{x-3})$

7 0

3 years ago

A floor plan is drawing using a scale of 3cm/15ft what is the length is represented by 1 centimeter?

Reptile [31]

Answer:

1cm=5ft

Step-by-step explanation:

divide 15 by three

5 0

3 years ago

What number makes the equation true? Enter the answerin<br> 3= 12

shepuryov [24]

Answer: ?

Step-by-step explanation:

5 0

3 years ago

Look at the picture ASAP

goldenfox [79]

Using the Laws of Cosine, we obtain $C^2 = 55^2+108^2-2(108)(55)*cos(59)$ , which c approximately equals 153.44. So Line AB ≈ 153.44 meters.

8 0

3 years ago

A dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that are 6 feet in length. How many 12-inch pieces can t

Natasha2012 [34]

Answer:

he can cut 60 strips or ribbon

Step-by-step explanation:

The dressmaker has 720 inches of ribbon

from each roll of ribbon, he can make 6 12-inch pieces or ribbon

she has 10 rolls

so 6(strips per roll) x 10(amount of rolls) = 60 strips :)

8 0

3 years ago