44 that's a tricky question at first i thought it was -1 lol
Answer:
C) x = 1
Step-by-step explanation:
By adding the like terms you get
-12x + 10 = -10x + 8
then you add 12x to both sides and subtract 8 to both sides and get
2 = 2x
which then you would divide 2 by 2 and get 1
The measure of the angle CBD = 180° - 30° = 150°.
<h2>
Hello!</h2>
The answer is: 15mg
<h2>Why?</h2>
0.5% means that there are 0.5 grams per 100 mL, and a 0.5 grams are equal to 500 milligrams.
So, to calculate how many milligrams will be received per injection, we need to make the following calculations:

Have a nice day!
A good place to start is to set
to y. That would mean we are looking for
to be an integer. Clearly,
, because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since
is a radical, it only outputs values from
, which means y is on the closed interval:
.
With that, we don't really have to consider y anymore, since we know the interval that
is on.
Now, we don't even have to find the x values. Note that only 11 perfect squares lie on the interval
, which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:

Which is strictly positive so we know for sure that all 11 numbers on the closed interval will yield a valid x that makes the radical an integer.