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Lapatulllka [165]
1 year ago
9

Homework 7.5 solving radical equations 6=(2x+34)^1/2

Mathematics
1 answer:
nydimaria [60]1 year ago
4 0

Answer:

x=1

Step-by-step explanation:

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Solve for x: 5/x^2-4+2/x=2/x-2
IRINA_888 [86]

\dfrac{5}{x^2 - 4} + \dfrac{2}{x} = \dfrac{2}{x - 2}


\dfrac{5}{(x + 2)(x - 2)} + \dfrac{2}{x} = \dfrac{2}{x - 2}


\dfrac{5}{(x + 2)(x - 2)} \times x(x + 2)(x - 2) + \dfrac{2}{x} \times x(x + 2)(x - 2) = \dfrac{2}{x - 2} \times x(x + 2)(x - 2)


5x + 2(x + 2)(x - 2) = 2x(x + 2)


5x + 2(x^2 - 4) = 2x^2 + 4x


5x + 2x^2 - 8 = 2x^2 + 4x


5x - 8 = 4x


x - 8 = 0


x = 8


Now we look at the common denominator.

It is x(x + 2)(x - 2).

x cannot be zero, -2 or 2 because that would cause a zero in the denominator.

Since we get x = 8, and x = 8 does not have to be excluded from the domain, the answer is x = 8.


Answer: x = 8

6 0
3 years ago
What is the first step?
kogti [31]

Answer:

-5x-1/6=3/2

-5×1/6+1/6=3/2+1/6

-5×÷5×=10/6/-5x

x=-10/30

<h3> x=-1/3</h3>

8 0
3 years ago
The temperature, t, in degrees Fahrenheit, can be found by counting the number of cricket chirps, c, heard in 14 seconds and the
dem82 [27]
Answers:
- All values of t must be positive
- A viable solution is (10, 50)


- All values of t must be positive. 
EXPLANATION
t, temperature (in Fahrenheit) is dependent on c
c is the number of cricket chirps heard in 14 seconds
Therefore, all values of c must be positive integers
If all values of c must be positive integers
Then all values of t must also be positive integers

- A viable solution is (10, 50).
EXPLANATION
t = c + 40
Since 10 is a positive integer, it is a possible value for c

If c = 10
t = 10 + 10
t = 50
Therefore a viable solution is (10, 50)

EXPLANATION FOR WHY OTHER OPTIONS ARE WRONG:
- The graph is continuous. 
This is WRONG because this function only allows the values of c to be only certain points in the interval (only positive integers). Therefore, it is a discrete function.

- A viable solution is (–2, 38)
This is WRONG because the -2 is a negative integer, and the value of c cannot be a negative integer.

- A viable solution is (0.5, 40.5)
This is WRONG because 0.5 is not an integer, and all values of t must also be positive integers.
5 0
3 years ago
Read 2 more answers
Y is directly proportional to x
maw [93]

Answer:

Step-by-step explanation:

Check attachment below

3 0
3 years ago
Read 2 more answers
A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and
horsena [70]

Answer:

1194 bleacher tickets

Step-by-step explanation:

If all were grandstand tickets, revenue would be 0.65*5716 = 3715.40. It was actually 298.50 less than that. Each bleacher ticket sold drops the revenue by .25, so there were 298.50/.25 = 1194 bleacher tickets sold.

7 0
3 years ago
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