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kaheart [24]
8 months ago
7

For Problems 9-10, simplify the expressions using properties of operations. 9. (4x – 7.2) + (-5.3x-8) 10. (t - 1) – (-7t + 2)

Mathematics
1 answer:
mafiozo [28]8 months ago
7 0

The given expression is : (4x – 7.2) + (-5.3x-8)

Simplify :

Open the brackets :

(4x – 7.2) + (-5.3x-8) = 4x - 7.2 - 5.3x - 8

Arrange the variable and constant terms together :

(4x – 7.2) + (-5.3x-8) = 4x - 5.3x - 8 - 7.2

Solve the variable and constant terms together :

(4x – 7.2) + (-5.3x-8) = - 1.3x - 15.2

Since, the variable and constant term can not solve together so the above equation is the simplest form:

(4x – 7.2) + (-5.3x-8) = - 1.3x - 15.2

Answer : (4x – 7.2) + (-5.3x-8) = - 1.3x - 15.2

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By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is                    \sum_{n=4}^{15} 5(-2)^{n-1}$$  

<h3>What is sequence ?</h3>

Sequence is collection of  numbers with some pattern .

Given sequence

a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20

We can see that

\frac{a_1}{a_2}=\frac{-10}{5}=-2\\

and

\frac{a_2}{a_3}=\frac{20}{-10}=-2\\

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now n^{th}  term of this Geometric progression can be written as

T_{n}= 5\times(-2)^{n-1}

So summation of 15 terms can be written as

\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is                    \sum_{n=4}^{15} 5(-2)^{n-1}$$  

To learn more about Geometric progression visit : brainly.com/question/14320920

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Eight less than twice a number is the same as six times the number. Find the number.
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Step-by-step explanation:

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I’m sure it’s B (15.960)..
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A small square of side 2x is cut from the corner of a rectangle with a width of 10 centimeters and length of 20 centimeters. Wri
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Find the area of the rectangle. You can find the area of a rectangle with the following formula:

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Plug in your width and length:

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The area of a square is also given by width * length. Multiply the sides together:

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Because you're cutting away the square from the rectangle, you will subtract the area of the square from the area of the rectangle. The following equation will be your answer:

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(b) Given that
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Answer:n=-2 or n=4

Step-by-step explanation:

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