12+4x^2+3x^3-2x is the answer.
Answer:
is an odd function.
Step-by-step explanation:
We are asked to prove whether
is even or odd.
We know that a function
is even if
and a function
is odd, when
.
We also know that an even function is symmetric with respect to y-axis and an odd function is symmetric about the origin.
Upon looking at our attachment, we can see that
is symmetric with respect to origin, therefore,
is an odd function.
Answer:
Blank 1: 40
Blank 2: 10
Step-by-step explanation:
You can start by representing the speed of the water as x and the speed of the dolphin as y, and writing an equation.
y+x=50
y-x=30
Adding these two equations together, you get:
2y=80
y=40 for the speed of the dolphin in still water. Now, you an use one of the previous equations to find the speed of the current.
40-x=30
x=10
Hope this helps!
Answer:
3.33 or 3 1/3
Step-by-step explanation:
You're correct to multiply by 4.
Your answer will be 10/3
Just make it a mixed number: 3 1/3
3.33 is 10/3 as a decimal.
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1
Consider the left side
2cos²A - 1 ← replace 1 by sin²A + cos²A
= 2cos²A - ( sin²A + cos²A)
= 2cos²A - sin²A - cos²A
= cos²A - sin²A = right side ⇒ verified