Answer:
the answer is 0 you're welcome bye
Step-by-step explanation:
Discriminant : k² - 4(12)(27) < 0
So k² - 1296 < 0, -36 < k < 36.
Hello there!
We are given the function:

To find the range, we know that domain is the set of all x-values and also called 'input' while range is the set of all y-values and also called 'output'.
Basic Function - you add the input, you get the output. You add x-value in a function, you get y-value. You add domain, you get range.
So, we substitute x = 1,2 and 3 in the function.
<u>x</u><u> </u><u>=</u><u> </u><u>1</u>

Recall that any numbers in absolute value are always positive.

<u>x</u><u> </u><u>=</u><u> </u><u>2</u>

<u>x</u><u> </u><u>=</u><u> </u><u>3</u>

Therefore, Range: {-1,1,3}
Let me know if you have any questions!
Topic: Absolute Value Function / Modulus Function
Answer:
v = 126°
Step-by-step explanation:
Since 54° and u are corresponding angles in parallel lines, they are equal, hence, u = 54°. u and v are Same Side Interior angles. In parallel lines, Same Side Interior angles are supplementary (meaning that they add up to 180°), therefore, v = 180 - u = 180 - 54 = 126°.
Answer: 376.98192 mL
Step-by-step explanation:
We are going to use this equation.
V = π * r² * h
according to the question we have the value for r and h, if you replace the values into the equation we will get following product:
note: also keep in mind that value of π is 3.141516
V = π * r² * h
V = π * (4in)² * (10in)
V = 502.64256 in³
after we can divide this value in 4 equals parts
then we get the following equation:
502.64256 in³ / 4 = 125.66064 in³
after that that you can multiply this value by 3 to get the 3 parts of the cylinder vase for example:
125.66064 in³ * 3 = 376.98192 in³
and this result is the volume of water that we have to pour into the vase