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tangare [24]
3 years ago
7

How many solutions are there to the question below 9x+16=4x

Mathematics
2 answers:
Murrr4er [49]3 years ago
5 0
There is only one solution, which<span> is x=-16/5.</span>
Nikitich [7]3 years ago
4 0
One solution

9x+16=4x\ \ \ |-16\\\\9x=4x-16\ \ \ |-4x\\\\5x=-16\ \ \ |:5\\\\\boxed{x=-\dfrac{16}{5}\to x=-3.2}
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Consider the radical equation √c+22 = c + 2.
dimulka [17.4K]

First square both sides to get:

c + 22 = (c + 2)^2

or

c + 22 = c^2 + 4c + 4

Move the terms on the left side to the right side:

c^2 + 3c - 18 = 0

Factor to get:

(c + 6) * (c - 3) = 0.

The solutions are c = -6 and c = 3.

Check to see if these answers work by plugging them into the original equation:

c = -6:

sqrt (-6 + 22) ?= -6 + 2

But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.

c = 3:

sqrt (3 + 22) ?= 3 + 2

5 = 5. So, 3 works.

The answer is: B

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Use the inverse variation equation to fill in the table.
Mandarinka [93]

The value of a is  0.10.

The value of b is 20.78.

The value of c is 0.02.

<h3>What are the missing values?</h3>

When two variables have inverse variation, the two variables move in opposite directions. If one variable increases, the other decreases.

p = 8.31 / V

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