y = x + 4/x
replace x with -x. Do you get back the original equation after simplifying. if you do, the function is even.
replace y with -y AND x with -x. Do you get back the original equation after simplifying. If you do, the function is odd.
A function can be either even or odd but not both. Or it can be neither one.
Let's first replace x with -x
y = -x + 4/-x = -x - 4/x = -(x + 4/x)
we see that this function is not the same because the original function has been multiplied by -1
. Let's replace y with -y and x with -x
-y = -x + 4/-x
-y = -x - 4/x
-y = -(x + 4/x)
y = x + 4/x
This is the original equation so the function is odd.
Answer:
$4.60
Step-by-step explanation:
He only puts 1 in each glass and he has six. The answer is 6.
To evaluate for the amount of sand that can fit in the sandcastle, we obtain the volume of the castle.
V=πr²h
From the information:
r=6/2=3 inches
h=8 inches
thus the volume will be:
V=π×3²×8
V=72pi
Hence the amount of sand required will be 72pi in³
Step-by-step explanation:
<h3>Given</h3>
- Side 1: 3x² - 2x - 1
- Side 2: 9x + 2x² - 3
- Perimeter: 5x³ + 4x² - x - 3
<h3>Part A</h3>
Sum of side lengths 1 and 2
- 3x² - 2x - 1 + 9x + 2x² - 3 =
- 5x² + 7x - 4
<h3>Part B</h3>
The perimeter is the sum of all three sides.
<u>The length of the third side is</u>
- P - (side 1 + side 2) =
- 5x³ + 4x² - x - 3 - (5x² + 7x - 4) =
- 5x³ + 4x² - x - 3 - 5x² - 7x + 4 =
- 5x³ - x² - 8x + 1
Part A - addition
Part B - subtraction