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Lyrx [107]
3 years ago
13

Which of the following is the equation of a direct variation that has a constant of variation equal to - 1/2?

Mathematics
1 answer:
Sliva [168]3 years ago
3 0
The answer of the question is c
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What is the appropriate metric unit for measuring the capacity of a water cooler?
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The best way to measure a volume of this size in Liters. This is a metric unit. There are 1000 liters in one cubic meter.
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3 years ago
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Which statement best describes f(x)= -2 √x-7 +1 –6 is in the domain of f(x) but not in the range of f(x). –6 is not in the domai
Archy [21]

Answer:

B. -6 does not belong to the domain but belongs to the range of f(x).

Step-by-step explanation:

We have the function, f(x)=-2\sqrt{x-7}+1.

So, the domain of the function is obtained when x-7\geq 0 i.e. x\geq 7

That is, the domain is {x | x≥ 7}.

Now as we have,

x\geq 7 → x-7\geq 0 → \sqrt{x-7} \geq 0 → -2\sqrt{x-7} \leq 0 → -2\sqrt{x-7}+1 \leq 1.

That is, f(x)\leq 1

Thus, the range of the function f(x) is {y | y≤ 1}.

Thus, we can see that,

-6 does not belong to the domain but belongs to the range of f(x).

5 0
3 years ago
Given that the restaurant is located in a city with a population over 500,000, what is the probability that it is in the northea
xxMikexx [17]
Your question seems incomplete
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5 0
3 years ago
What is the magnitude of the resultant vector a and b shown below?
denpristay [2]

Answer: SECOND OPTION.

Step-by-step explanation:

It is important to remember that, by definition, the "Resultant vector " is the vector obtained by adding two or more vectors.

 For this exercise you need to use the formula for calculate the magnitude of the resultant vector obtained by adding the vectors "a" and "b" shown in the picture attached:

c=\sqrt{a^2+b^2}

Where "c" is the magnitude of the resultant vector asked in the exercise.

You need to analyze the graph given in the exercise.

You can identify that:

a=4\\\\b=3

Then the next step, knowing which are "a" and "b", is to substitute values into the formula given at the beginning of this explanation, as following:

c=\sqrt{4^2+3^2}

Finally, evaluating, you get that "c" is:

c=\sqrt{16+9}\\\\c=5

4 0
3 years ago
Write an equation of the ellipse centered at the origin given its vertex and co vertex
jolli1 [7]

Answer:

\dfrac{x^2}{49}+\dfrac{y^2}{25}=1.

Step-by-step explanation:

The equation of the ellipse is

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1.

If the vertex of the ellipse is at point (-7,0), then a=7.

If the co-vertex of the elllipse is at point (0,-5), then b=5.

The equation of the ellipse is

\dfrac{x^2}{7^2}+\dfrac{y^2}{5^2}=1,

\dfrac{x^2}{49}+\dfrac{y^2}{25}=1.

4 0
3 years ago
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