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Reika [66]
3 years ago
11

Solve the absolute value equation |2x|+5=17

Mathematics
1 answer:
kondaur [170]3 years ago
7 0

Answer:

x=6/x=-6

Step-by-step explanation:

subtract 5 from each side to isolate the absolute value function

2x=12

divide to isolate the x simplified down all the way// x=6, absolute value will have a positive and a negative answer.

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If 8x = 24, then 24= 8x what property is this
yarga [219]

Answer:

it is transitive property

as, a=b

also, b=a

Step-by-step explanation:

5 0
3 years ago
One fifth of one number and one fourth of a number are added, the result is 29. What is the original number?
Morgarella [4.7K]

Answer:

\dfrac{580}{9}

Step-by-step explanation:

\dfrac{1}{5}x + \dfrac{1}{4}x = 29

\dfrac{4}{20}x + \dfrac{5}{20}x = 29

\dfrac{9}{20}x = 29

x = 29 \times \dfrac{20}{9}

x = \dfrac{580}{9}

Answer: \dfrac{580}{9}

5 0
3 years ago
What is the true solution to 3 in 2 + in 8 = 2 in (4x)
11Alexandr11 [23.1K]
The first step for solving this equation is to determine the defined range.
3㏑(2) + ㏑(8) = 2㏑(4x), x > 0
Write the number 8 in exponential form.
3㏑(2) + ㏑(2³) = 2㏑(4x)
Using ㏑(a^{x}) = x × ㏑(a),, transform the expression.
3㏑(2) + 3㏑(2) = 2㏑(4x)
Now collect the like terms on the left side of the equation.
6㏑(2) = 2㏑(4x)
Switch the sides of the equation.
2㏑(4x) = 6㏑(2)
Using x × ㏑(a) = ㏑(a^{x}),, transform the expression on the left side of the equation.
㏑((4x)²) = 6㏑(2)
Using x × ㏑(a) = ㏑(a^{x}),, transform the expression on the right side of the equation.
㏑((4x)²) = ㏑(2^{6})
Since the bases of the logarithms are the same,, you need to set the arguments equal.
(4x)² = 2^{6}
Take the square root of both sides of the equation and remember to use both the positive and negative roots.
4x = +/- 8
Now separate the equation into 2 possible cases.
4x = 8
4x = -8
Solve the top equation for x.
x = 2
Solve the bottom equation for x.
x = 2
         , x > 0
x = -2
Lastly,, check if the solution is in the defined range to find your final answer.
x = 2
This means that the correct answer to your question is x = 2.
Let me know if you have any further questions
:)
5 0
3 years ago
Read 2 more answers
What is the answer to this question
Anon25 [30]

Answer:

2118/12681

Step-by-step explanation:

Number of students absent in high school/Total number of students in high school

2118/12681

4 0
3 years ago
What is the slope of the points (-2,7) and (2,-5)?<br> 4<br> -3<br> -12<br> 3
Dafna1 [17]

Answer:

-3

Step-by-step explanation:

Slope is equal to (-5-7)/(2-(-2)=-12/4=-3

6 0
3 years ago
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