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dmitriy555 [2]
3 years ago
5

Add the two expressions. 2x + 6 and 6x −1 Enter your answer in the box.

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
4 0

Answer:

8x +5

Step-by-step explanation:

The sum is found by combining "like" terms—those that have the same arrangement of variables.

The first expression, 2x +6, has terms 2x and 6.

The second expression, 6x -1, has terms 6x and -1.

In each case, the first term listed is first-degree in the variable x. These are "like" terms, so can be added:

... 2x +6x = (2+6)x = 8x

The second term listed in each case is a constant. These are "like" terms, so can be added:

... 6 + (-1) = 5

Then the sum of the given expressions is the sum of the results from adding like terms:

... 8x + 5

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Answer:

Q1) Final cost = y*0.85*1.05  

Q2) Perimeter = 0.1*x - 16

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Step-by-step explanation:

We are given three question as follows:

Q1) Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.

Solution:

Note: The effect of each percentage on original price is as follows, where y is the original price of the DVD:

                        Discount of 15 % = Price reduced by 0.15*y

                        Sales Tax of 5% = Price increased by 0.05*y

- The resulting prices from each percentage is:

                        Amount left after discount = y - 0.15*y = 0.85*y

                        Amount after tax = y + 0.05*y = 1.05*y

- The factors of each affect are:

                        Factor of discount = 0.85

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Hence, The factors are multiplied by the original cost to get the combined effect as follows:

Answer:            Final cost = y*0.85*1.05                

Q2) Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 0.5*x + 9, 3x, and - 3.4*x - 25.

Solution:

               The perimeter of the triangle is the sum of all 3 sides given:

                        Perimeter = (0.5*x + 9) + (3x) + ( -3.4*x - 25 )

                        Perimeter = (0.5*x + 3x - 3.4x) + ( 9 - 25 )

Answer:           Perimeter = 0.1*x - 16

Q3) Which expression is equivalent to one over five*m − 20?

Solution:

- Re-write expression:

                                                   (1 / 5)*m - 20

Take LCM of the denominator:

                                                  (m - 100) / 5

Answer:                             One over five ( m - 100)

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