Answer:
Step-by-step explanation:
Integrating each term with respect to x, we get:
x^3 x^2
f(x) = 9--------- + 4------- - 4x + C
3 2
We are told that if x = 0, f(x) = -7, and so C must equal - 7.
The solution is
x^3 x^2
f(x) = 9--------- + 4------- - 4x - 7, or f(x) = 3x^3 + 2x^2 - 4x - 7
3 2
Answer:
h = 19.6 ft
Step-by-step explanation:
Given that,
A 20 ft ladder 4ft from the base of the wall.
The height of the ladder, H = 20 ft
The base distance, b = 4 ft
We need to find the height of the reach. Let it is P.
Using Pythagoras theorem,

or
P = 19.6 ft
So, the height is 19.6 ft.
Answer:
The correct anser is option
B. 2x + 2 = 18
Step-by-step explanation:
Let the number of hot dogs eaten by the runner up be represented by x
If Dave ate 2 more than twice x, this means that the number eaten by him = 2x + 2
Since the total number of hot dogs eaten by Dave is 18
Therefore, the equation will be
2x + 2 = 18
So the number of hot dogs eaten by the runner-up is determined by solving for x
2x= 18-2
2× = 16
x = 16/2
x = 8
The runner up are 8
While Dave are
2×8 + 2 = 18.