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BaLLatris [955]
3 years ago
11

Evaluate. show your work or explain your reasoning -|-8|

Mathematics
1 answer:
kramer3 years ago
3 0

Answer:

The answer is -8.

Step-by-step explanation:

The absolute value is the distance between a number and zero, and it is always positive.  The distance between -8 and 0 is 8. Then, once the absolute value is found, the actual answer needs to be found by multiplying 8 by (-1). Usually the number in front of an absolute value is 1; however, this absolute value has a negative in front of it, which causes the 1 to become a -1. Thus, causing the final answer to be -8.

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33.333...(%)

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4 divided by 12 gives you 0.333... (3 repeating)

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A scuba diver at a depth of −12 ft (12 ft below sea level), dives down to a coral reef that is 3.5 times the diver's original de
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5(x+2/3)=3x-2/3The answer is-2.Please show work so I can understand how to solve.
kramer
5(x + 2/3) = 3x - 2/3.....distribute the 5 through the parenthesis
5x + 10/3 = 3x - 2/3 ....subtract 3x from both sides
5x - 3x + 10/3 = 3x - 3x - 2/3...combine like terms
2x + 10/3 = - 2/3 ....subtract 10/3 from both sides
2x + 10/3 - 10/3 = -2/3 - 10/3...simplify
2x = - 12/3....reduce
2x = - 4....divide both sides by 2
x = -4/2....reduces to -2

or this way...
5(x + 2/3) = 3x - 2/3.....distribute
5x + 10/3 = 3x - 2/3....multiply by lowest common denominator of 3
15x + 10 = 9x - 2 ....subtract 9x from both sides
15x - 9x + 10 = -2 ...subtract 10 from both sides
6x + 10 - 10 = -2 - 10...simplify
6x = -12.....divide both sides by 6
x = -12/6 reduces to -2
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3 years ago
Plot the data for the functions ƒ(x) and g(x) on a grid. x -2 -1 0 1 2 ƒ(x) 1 4 16 x -1 0 1 2 3 g(x) 3 4 5 6 7 b. Identify each
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Part A:

The plot for the function f(x) and g(x) is attached. The purple curve represents f(x) and the black line represents g(x).



Part B:

The graph of f(x) shows that f(x) is an exponential function.
The graph of g(x) shows that g(x) is a linear function.



Part C:

As x increases from left to right, the function f(x) increases very rapidly.
As x increases from left to right, the function f(x) increases at a constant rate.



Part D:

From the graph it can be seen than the valus of x for which the values of the function are equal are: x = -4 and x = 1.19.
3 0
3 years ago
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