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Anuta_ua [19.1K]
2 years ago
12

Match the properties with the steps to solving the following equation. (8.x – 6) = x + 9

Mathematics
1 answer:
lesantik [10]2 years ago
4 0

Answer:

8x - 6 = x + 9 : Given

7x - 6 = 9 :Subtraction property of equality

7x = 15 : Addition property of equality

x = 15/7 : Division property of equality

x = 2.143

Step-by-step explanation:

Match the properties with the steps to solving the following equation.

(8x - 6) = x + 9

8x - 6 = x + 9 : Given

8x - x - 6 = x + 9 - x

7x - 6 = 9 :Subtraction property of equality

7x - 6 + 6 = 9 + 6

7x = 15 : Addition property of equality

7x/ 7 = 15/7

x = 15/7 : Division property of equality

x = 2.143

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The word "less than" represent what operation?
bixtya [17]

Answer:

  • The term 'less than' is used to indicate the relationship between two values.
  • The term 'less than' symbolically represented as '<'.

Step-by-step explanation:

  • The term 'less than' is used to indicate the relationship between two values.

It expresses that one value will be lesser than the other.

The term 'less than' symbolically represented as '<'.

We can implement certain operations like comparing values, heights, and numbers.

For example, there are 3 pencils in one bag A, and 8 pencils in bag B.

When we compare the two, we can easily observe that bag A has fewer pencils than bag B.

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Pencils in Bag A       <         Pencils in Bag A

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4 0
2 years ago
Find the difference quotient <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%20%2B%20h%29%20-%20f%28x%29%7D%7Bh%7D" id="TexFor
AlladinOne [14]

Answer:

-2x - h - 3

Step-by-step explanation:

Step 1: Define

Difference Quotient: \frac{f(x+h)-f(x)}{h}

f(x) = -x² - 3x + 1

f(x + h) means that x = (x + h)

f(x) is just the normal function

Step 2: Find difference quotient

  1. <u>Substitute:</u> \frac{[-(x+h)^2-3(x+h)+1]-(-x^2-3x+1)}{h}
  2. <u>Expand and Distribute:</u> \frac{[-(x^2+2hx+h^2)-3x-3h+1]+x^2+3x-1}{h}
  3. <u>Distribute:</u> \frac{-x^2-2hx-h^2-3x-3h+1+x^2+3x-1}{h}
  4. <u>Combine like terms:</u> \frac{-2hx-h^2-3h}{h}
  5. <u>Factor out </u><em><u>h</u></em><u>:</u> \frac{h(-2x-h-3)}{h}
  6. <u>Simplify:</u> -2x - h - 3

8 0
2 years ago
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No the answer to the solution would be 7
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