
First let

, so that

to write the integral as

Now recall that

, so substituting

should do the trick. The integral then becomes
Answer: Choice A
Note: the range should be
. See explanation below.
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We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say
which is interval notation. It represents the interval from negative infinity to positive infinity.
The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that
and that translates to the interval notation
.
The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote
for choice A, when they should have written 
I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.
If you simplify the expression you will get 18x - 15.
<span>the capacity of the container in milliliters would be </span>167ml all together
Answer:
7
Step-by-step explanation:
An easy way to find any percentage of a number is to multiply with decimals. To do this you have to first convert the percentage to a decimal. Do this by moving the decimal point in the percentage 2 places to the left. This means that 2.0% becomes 0.02. Then, multiply this decimal by the whole number. So, 0.02*350. This equals 7, which is 2% of 350.
This same trick will work with any problem. For example 38% of 435 is the same as 0.38*435, which equals 165.3.