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2 years ago

Is the product of two mixed number less than, between,or greater than the two factors?explain

1 answer:

7 0

The product of two mixed numbers is greater than the two factors (assuming that the two numbers are positive and greater than or equal to 1).
To better understand this, let's take as an example the multiplication of 1.5 and 2.25.
Both are mixed numbers, their multiplication is as follows:
1.5 * 2.25 = 3.375
The two factors here are 1.5 and 2.25 and the product is 3.375 which is greater than the factors

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The graph of f(x) = StartRoot x EndRoot is reflected across the x-axis and then across the y-axis to create the graph of functio

Anna35 [415]

Answer:

The only value that is in the domains of both functions is 0

The range of g(x) is all values less than or equal to 0

Step-by-step explanation:

As the original function is

$f(x) = \sqrt{x}$

Since, domain is the set of all possible input values that define the function, and range is the set of all possible output values for all possible domain values for which the function is defined.

The domain of $f(x) = \sqrt{x}$ will be [0, ∞)

The range of $f(x) = \sqrt{x}$ will be [0, ∞)

Please check the attached figure a for visualizing the graph of $f(x) = \sqrt{x}$ .

Impact of double transformation:

When the function $f(x) = \sqrt{x}$ is reflected across x-axis, the function becomes $y = -\sqrt{x}$ after first transformation

After the second transformation across y-axis, the function $y = -\sqrt{x}$ becomes $g(x) = -\sqrt{-x}$

For

$g(x) = -\sqrt{-x}$

$-x$ must be equal to or greater than zero for $g(x) = -\sqrt{-x}$ to be defined i.e. -x ≥ 0.

So,

-x ≥ 0 can be written as x≤ 0

So,

The domain of $g(x) = -\sqrt{-x}$ will be (∞, 0]
The range of $g(x) = -\sqrt{-x}$ will be (∞, 0]

Please check the attached figure a for visualizing the graph of $g(x) = -\sqrt{-x}$ .

So, from the above discussion, we can say that

0 is the only that is in the domain of both function.
The range of g(x) is all values less than or equal to 0

So,

Only two statements are true about the functions f(x) and g(x) are true which are:

The only value that is in the domains of both functions is 0

The range of g(x) is all values less than or equal to 0

Keywords: graph, function

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8 0

2 years ago

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A drawer contains black socks and white socks. 80% of the socks are white socks. A number generator simulates randomly selecting

Alina [70]

Answer;

The generator was not fair.

Explanation;

The number generator is not fair. This is because the correct percentage of black socks was not chosen at all.

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2 years ago

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Triangle NLM is reflected over the line segment as shown, forming triangle ABC. Which congruency statement is correct? ΔNLM ≅ ΔC

algol13

Given that triangle NLM is reflected over the line segment as shown, forming triangle ABC.

When a point is refrected across a line, the relative distance form the point to the line of refrection is preserved. That is the distance from the point to the line of refrection is equal to the distance of the image to the line of refrection.

Thus, from the figure, it can be seen the point B is of the same distance to the line of refrection as point M, so is point A to point L and point C to point N.

Thus, ΔNLM is similar to ΔCAB

Therefore, the congruency statement that is correct is ΔNLM ≅ ΔCAB

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2 years ago

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Shawn purchased $87.06 worth of merchandise at a department store. He gave the clerk $100. Round to the nearest whole dollar to

Alborosie

Answer:

it should be 187.6 if u got it wrong let me know so i can give u another answer

Step-by-step explanation:

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2 years ago

If the cost of 1 kg of oranges is Rs. 42.50, find the cost of 3.5 kg of oranges.

Alborosie

Answer:

1kg = Rs. 42.50

3.5kg = 3.5*42.50

=Rs. 148.75

I hope you know this answer

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2 years ago