Answer:
c)
Step-by-step explanation:
To solve this, remember some properties of trigonometric functions.
Let . Then, by definition of inverse function, . Multiply by -1 to both sides of this equation to get .
Note that because sine is an odd function and cosine is an even function. Then . Take the inverse tangent in both sides to get .
Using the previous equations, we obtain:
Answer:
the equation used for the dollar amount earned is r= 10 and p=76
divide 304 by 4 and 100 by 10
Answer:
The first golf ball went higher.
Step-by-step explanation:
The equation representing the height (in feet) of a golf ball t seconds after it is hit is:
And the graph represents the height of a second golf ball t seconds after it is hit.
From the graph it can be seen that the second ball reaches its maximum height, i.e. 100 feet, after 2.5 seconds.
Compute the height of the first ball after 2.5 seconds as follows:
After 2.5 seconds the first ball reaches a height of 140 feet.
This height may or may not be the maximum height.
But for the same time, the first ball goes higher that the second ball.
Thus, the first golf ball went higher.
The points of inflection are where the second derivative changes sign. It is the point where the concavity change from upward to downward, or vice versa.
The first derivative is
4(x+3)³
The second derivative is
12(x+3)²
This expression never changes sign. The expression (x+3)⁴ is concave upward everywhere (except x=-3, where it is flat).
There are no points of inflection.
Answer:
x = -6
Step-by-step explanation:
-5x+1=31
- Subtract 1 from both sides of the equation.
-5x = 30
x = -6