How to add and subtract rational expressions with unlike denominators?

1 answer:

3 0

One way of adding an subtracting rational expressions with unlike denominators is by multiplying the denominators of the two expressions, and then continue solving and at the end simplify.

Another way is by finding the least common denominator.

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Given h of x equals negative 2 times the square root of x minus 3 end root, which of the following statements describes h(x)?

Yuliya22 [10]

Using translation concepts, it is found that the correct option regarding the function is:

The function h(x) is decreasing on the interval (3, ∞).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

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

Which increases on (0, ∞).

The translated function is given by:

$g(x) = -2\sqrt{x - 3}$

With the translation, the domain is now (-3, ∞), and the function is decreasing, hence the correct option is given by:

The function h(x) is decreasing on the interval (3, ∞).

More can be learned about translation concepts at brainly.com/question/4521517

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2 years ago

Two angles of a triangle are 47 and 32 degrees. Select all angles that could represent exterior angles of a triangle.

notsponge [240]

Answer:

133, 79, 148 are ALL possible, so select 133 and 79

Step-by-step explanation:

Subtract 47 and 32 from 180 to find the third angle of the triangle (it is 101).

Then do 180-101 = 79

180-32=148

180-47=133

That tells you the exterior angle of each. Only two possible choices on your list.

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2 years ago

Mary is selling chocolate bars to raise money. She earns $3 for each solid milk chocolate bar sold and $4 for each caramel-fille

m_a_m_a [10]

Answer:

3m + 4c

Step-by-step explanation:

Whenever a word problem says the word earn that means the slope, also known as the rate of change, will be positive. Knowing this you can determine that both the caramel and milk chocolate slopes will be positive. After figuring all that out the only thing left to do is to make the equation. You know you have two slopes, and each slope needs a variable, so you will have to look back at the question. It is given that m represents the milk chocolate and c represents the caramel. Now all you have to do is make the slope the coefficient to the corresponding variable. The milk chocolates are 3 dollars, so the 3 goes in front of the m and the caramel chocolates are 4 dollars, so teh 4 goes in front of the 4. Since both slopes are positive no negatives or minus signs will be used in the equation. Knowing all this information you can now create the expression 3m + 4c.

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3 years ago

Movie rentals cost $3.99 each. The cost of renting 3 movies and 1 video game is $.11 less than renting 5 video games - how much

BabaBlast [244]

i know that the three movies are 11.97 but i just cant seem to find the others sorry

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4 years ago

A trucking firm suspects that the mean lifetime of a certain tire it uses is more than 30,000 miles. To check the claim, the fir

grandymaker [24]

Answer:

We conclude that the lifetime of tires is less than 30,000 miles.

Step-by-step explanation: