Question
Which of the following expressions is equivalent to 
, for x > 3 ?
Hint:
We know that 
. We use this formula and perform some algebraic manipulations to solve the problem.
The correct answer is:
Step 1 of 2:
Given,
And
Step 2 of 2:
Now, 
, by cancelling out the term (x - 3) for x > 3
Final Answer:
The expression equivalent to , for x > 3, is— D) .
And
Step 2 of 2:
Now,
, by cancelling out the term (x - 3) for x > 3Final Answer:
The expression equivalent to
, for x > 3, is— D) .Related Questions to study
A customer's monthly water bill was 
. Due to a rate increase, her monthly bill is now 
.To the nearest tenth of a percent, by what percent did the amount of the customer's water bill increase?
A customer's monthly water bill was . Due to a rate increase, her monthly bill is now .To the nearest tenth of a percent, by what percent did the amount of the customer's water bill increase?
If 
for positive integers a and b , what is one possible value of b ?
If for positive integers a and b , what is one possible value of b ?
The table above shows the flavors of ice cream and the toppings chosen by the people at a party. Each person chose one flavor of ice cream and one topping. Of the people who chose vanilla ice cream, what fraction chose hot fudge as a topping?
The table above shows the flavors of ice cream and the toppings chosen by the people at a party. Each person chose one flavor of ice cream and one topping. Of the people who chose vanilla ice cream, what fraction chose hot fudge as a topping?
Some values of the linear function 
are shown in the table above. What is the value of 
?
Some values of the linear function are shown in the table above. What is the value of ?
What is the solution set of the equation above?
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A gear ratio r:s is the ratio of the number of teeth of two connected gears. The ratio of the number of revolutions per minute (rpm) of two gear wheels is s:r. In the diagram below, Gear A is turned by a motor. The turning of Gear A causes Gears B and C to turn as well.
If Gear A is rotated by the motor at a rate of 100 rpm, what is the number of revolutions per minute for Gear C?
The number of teeth has an inverse relationship with revolutions per minute (rpm) when two gears are mashed. Two quantities are considered to be in inverse proportion when they are related to one another in this way, that Two quantities are considered to be in inverse proportion when they are related to one another when a rise in one quantity causes a reduction in the other and vice versa. The sum of the two provided quantities equals a constant amount in inverse proportion. The inverse proportion formula can establish a relationship between two inversely proportional quantities. Assume that x decreases when y increases and vice versa for the two numbers, x and y. Example: The relationship between time and speed is inverse. The time it takes us to travel a certain distance lowers as our speed rises. Using speed as y and time as x, where y and x are inversely proportional, the formula is written as y = k/x.s, when a rise in one quantity causes a reduction in the other and vice versa. The sum of the two provided quantities equals a constant amount in inverse proportion. The inverse proportion formula can establish a relationship between two inversely proportional quantities. Assume that x decreases when y increases and vice versa for the two numbers, x and y. Example: The relationship between time and speed is inverse. The time it takes us to travel a certain distance lowers as our speed rises. Using speed as y and time as x, y, x are inversely proportional and are technically represented as inverse proportion formula. The inverse proportional formula is written as,
y = k/x
A gear ratio r:s is the ratio of the number of teeth of two connected gears. The ratio of the number of revolutions per minute (rpm) of two gear wheels is s:r. In the diagram below, Gear A is turned by a motor. The turning of Gear A causes Gears B and C to turn as well.
If Gear A is rotated by the motor at a rate of 100 rpm, what is the number of revolutions per minute for Gear C?
The number of teeth has an inverse relationship with revolutions per minute (rpm) when two gears are mashed. Two quantities are considered to be in inverse proportion when they are related to one another in this way, that Two quantities are considered to be in inverse proportion when they are related to one another when a rise in one quantity causes a reduction in the other and vice versa. The sum of the two provided quantities equals a constant amount in inverse proportion. The inverse proportion formula can establish a relationship between two inversely proportional quantities. Assume that x decreases when y increases and vice versa for the two numbers, x and y. Example: The relationship between time and speed is inverse. The time it takes us to travel a certain distance lowers as our speed rises. Using speed as y and time as x, where y and x are inversely proportional, the formula is written as y = k/x.s, when a rise in one quantity causes a reduction in the other and vice versa. The sum of the two provided quantities equals a constant amount in inverse proportion. The inverse proportion formula can establish a relationship between two inversely proportional quantities. Assume that x decreases when y increases and vice versa for the two numbers, x and y. Example: The relationship between time and speed is inverse. The time it takes us to travel a certain distance lowers as our speed rises. Using speed as y and time as x, y, x are inversely proportional and are technically represented as inverse proportion formula. The inverse proportional formula is written as,
y = k/x
Which of the following is equivalent to 
?
Which of the following is equivalent to ?
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The members of a city council wanted to assess the opinions of all city residents about converting an open field into a dog park. The council surveyed a sample of 500 city residents who own dogs. The survey showed that the majority of those sampled were in favor of the dog park. Which of the following is true about the city council's survey?
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Two different points on a number line are both 3 units from the point with coordinate -4. The solution to which of the following equations gives the coordinates of both points?
Two different points on a number line are both 3 units from the point with coordinate -4. The solution to which of the following equations gives the coordinates of both points?
The table above shows a summary of 1,200 responses to a survey question. Based on the table, how many of those surveyed get most of their medical information from either a doctor or the Internet?
In sets of numbers called fractions, the top number (numerator) represents a portion related to the entire unit, and (the denominator) by the bottom number.
A ratio is similar to a fraction, where two numbers are compared. Although ratios can be written in fractional form, they are typically expressed as numbers separated by the colon symbol.
The ratio conversion into a fraction in mathematics is known as the ratio to a fraction. The ratio conveys the relative size of two or more values. The fraction similarly identifies the components of the whole. A: B or a/B are two ways to represent the ratio.
The table above shows a summary of 1,200 responses to a survey question. Based on the table, how many of those surveyed get most of their medical information from either a doctor or the Internet?
In sets of numbers called fractions, the top number (numerator) represents a portion related to the entire unit, and (the denominator) by the bottom number.
A ratio is similar to a fraction, where two numbers are compared. Although ratios can be written in fractional form, they are typically expressed as numbers separated by the colon symbol.
The ratio conversion into a fraction in mathematics is known as the ratio to a fraction. The ratio conveys the relative size of two or more values. The fraction similarly identifies the components of the whole. A: B or a/B are two ways to represent the ratio.
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