Question
Which of the following is an equivalent form of 
Hint:
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The correct answer is:
We have given the expression (1.5x − 2.4)2-(5.2x2 − 6.4)
To find the equivalent of the given expression, the first expression
(1.5x − 2.4)2 can be rewritten as
(1.5x − 2.4)(1.5x − 2.4)
Applying the distributive property,
(1.5x)(1.5x) – (1.5x)(2.4)- (2.4)(1.5x) + (2.4)(2.4)
So the given expression becomes
(2.25x2 − 3.6x − 3.6x + 5.76) − (5.2x2 − 6.4).
This difference can be rewritten as
(2.25x2 − 3.6x − 3.6x + 5.76) + (−1)(5.2x2 − 6.4).
By distributing the factor of −1 through the second expression gives
2.25x2 − 3.6x − 3.6x + 5.76 − 5.2x2 + 6.4.
Regrouping like terms, the expression becomes
(2.25x2 − 5.2x2 ) + (−3.6x − 3.6x) + (5.76 + 6.4).
Combining like terms gives
−2.95x2 − 7.2x + 12.16.
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In mathematics, a survey is a technique for gathering data that involves posing a series of questions to participants to learn more about their attitudes and behaviors. It is the most typical and affordable method of data collection.
For example, Knowledge of consumer purchasing patterns can be used to understand product demand better and increase sales.
Types of Survey Methods
The procedure for gathering data is referred to as the survey method. Different approaches can help you get the extra information or insights you're looking for. Below is a list of some popular techniques.
Online Survey
Paper Survey
Telephonic Survey
Face-to-Face Interview
A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?
I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.
II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
In mathematics, a survey is a technique for gathering data that involves posing a series of questions to participants to learn more about their attitudes and behaviors. It is the most typical and affordable method of data collection.
For example, Knowledge of consumer purchasing patterns can be used to understand product demand better and increase sales.
Types of Survey Methods
The procedure for gathering data is referred to as the survey method. Different approaches can help you get the extra information or insights you're looking for. Below is a list of some popular techniques.
Online Survey
Paper Survey
Telephonic Survey
Face-to-Face Interview
The formula above is used to estimate the ideal quantity, Q, of items a store manager needs to order given the demand quantity, d; the setup cost per order, K; and the storage cost per item, h. Which of the following correctly expresses the storage cost per item in terms of the other variables?
Note:
Whenever there is an equation with a square root involved, first we try to remove that square root to get a clear picture of the equation. It is easier to operate on an equation with no square roots or log or inverse.
The formula above is used to estimate the ideal quantity, Q, of items a store manager needs to order given the demand quantity, d; the setup cost per order, K; and the storage cost per item, h. Which of the following correctly expresses the storage cost per item in terms of the other variables?
Note:
Whenever there is an equation with a square root involved, first we try to remove that square root to get a clear picture of the equation. It is easier to operate on an equation with no square roots or log or inverse.
Solve the equation: 8(x – 6) – 5x = 21
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Show that m = 2 is the root of the equation 9m – 4 = 14.
Show that m = 2 is the root of the equation 9m – 4 = 14.
Solve 
Solve
Find the value of 'x' in the following expressions:(b) 4x+0.9= 10
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In the xy-plane, the point (2, 6) lies on the graph of 
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Note:
Whenever there is an unknown constant in the given equation, we must always try to find the value of that constant first with the help of the given conditions. Another way to solve this question is; observe that the equation can be written as x y = k , that is, the product of the x co-ordinate and y co-ordinate always remains a constant. As the point (2, 6) satisfies it, we get that constant to be 12. So we check for which of the points in the options, the product of x co-ordinate and y co-ordinate is 12.
In the xy-plane, the point (2, 6) lies on the graph of where k is a constant. Which of the following points must also lie on the graph?
Note:
Whenever there is an unknown constant in the given equation, we must always try to find the value of that constant first with the help of the given conditions. Another way to solve this question is; observe that the equation can be written as x y = k , that is, the product of the x co-ordinate and y co-ordinate always remains a constant. As the point (2, 6) satisfies it, we get that constant to be 12. So we check for which of the points in the options, the product of x co-ordinate and y co-ordinate is 12.
