Given:
The height of a golf ball is represented by the equation:

To find:
The maximum height of of Anna's golf ball.
Solution:
We have,

Differentiate with respect to x.


For critical values,
.




Differentiate y' with respect to x.


Since double derivative is negative, the function is maximum at
.
Substitute
in the given equation to get the maximum height.




Therefore, the maximum height of of Anna's golf ball is 6.25 units.
Answer:
10
Step-by-step explanation:
Answer:
f⁻¹(x) = (1/2)x +5
Step-by-step explanation:
In y = f(x), swap the variables, then solve for y. The expression you get is f⁻¹(x).
... y = 2x -10
... x = 2y -10 . . . . . . swapped variables
... x +10 = 2y . . . . . add 10
... (1/2)x + 5 = y . . . . divide by 2
... f⁻¹(x) = (1/2)x + 5 . . . . . . rewrite using function notation
The answer is 4x + 50.
Step by Step: -25+75= 50
You can’t add or subtract a variable with a number.
Answer:
240 = 2 x 2 x 2 x 2 x 3 x 5 or 2^4x3x5
Step-by-step explanation:
240
/ \
2 120 (240 = 2 x 120)
/ \
2 60 (120 = 2 x 60)
/ \
2 30 (60 = 30 x 2)
/ \
2 15 (30 = 2 x 15)
/ \
3 5