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WITCHER [35]
2 years ago
10

Which inequality represents all values of x for which the quotient below is defined? √15(x-1) ÷ √2^2

Mathematics
1 answer:
kotegsom [21]2 years ago
6 0

Answer:

Option D: x ≥ 1.

Step-by-step explanation:

Here we have the quotient:

\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }

Here we have two restrictions for the domain.

first, the denominator can never be zero, so x must be different than zero.

Second, the arguments of the square roots can not be negative.

The one in the denominator is always positive because we have the square of x.

So let's look at the values of x, such that:

15*(x - 1) ≥ 0

(x - 1) ≥ 0

x ≥  1

Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:

x ≥ 1.

The correct option is D

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Let the value of the car be represented by V and the amount of years by y. 
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Now, we want to know when the car is worth $3,135, so we know V = 3,135
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3 years ago
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Here are two closed containers and four balls just fit into each container. Each ball has a diameter of 60mm. Which container ha
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Answer:

"A is smaller"

Step-by-step explanation:

The full question is attached.

<u>Surface area of cylinder:</u>

The formula is  SA=2\pi r^2 + 2\pi r h

where r is the radius and h is the height

Here, radius would be 30 since balls have diameter 60 and radius is half of that.

Also height is the diameter of 4 balls line-by-line, so height is 60*4 = 240

Now, plugging into the formula, we get:

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<u>Surface Area of rectangular prism:</u>

The surface area of rectangular prism is the area of all the rectangular surfaces (6 of them).

Area of top and bottom = (60+60)*(60+60) * 2 = 120*120 * 2 = 28,800

Area of 2 sides = 2 * (60*120) = 14,400

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Answer:

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Step-by-step explanation:

Given that the  population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, the function representing the number of caribou in the forest in t years will be

P(t) = 258( 1 + 6%)^t

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258 is the current or initial population.

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First, add up his total.
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Answer:

insta

Step-by-step explanation:

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