Answer:
y' = 9x^2 + 8x^-5
Step-by-step explanation:
General Principle
y' = ax^b
y' = a*b * x^(b-1)
Solution
3x^3 = 3*3x^(3-1)
3x^3 = 9x^2
-2x^-4 = -2*-4 x ^(-4 - 1)
-2x^-4 = 8 x ^-5
Answer
y' = 9x^2 + 8x^-5
Answer: NO
Step-by-step explanation:
The functions that models the height of the ball is given as
h(t) = -5t2 + 40t + 100
Where
a = -5, b = 40, c = 100
The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:
t = -b/2a
Substitute b and a into the formula above.
t = - 40 / -5 = 8
Substitute 8 for t in the function f(t)
h(t) = - 5(8)^2 + 40(8) + 100
h(t) = -5(64) + 40(8) + 100
Open the bracket
h(t) = -320 + 320 + 100
h(t) = 100
The maximum height of the ball is 100m
Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres
Answer:
Cost of the cleaning, C is the dependent variable
Area of the carpet, a is the independent variable
Step-by-step explanation:
cost of the cleaning is calculated from the area of the carpets
C= the cost of the cleaning a= the area of the carpets.
Cost of the cleaning, C is the dependent variable
Area of the carpet, a is the independent variable
A dependent variable is a variable which depends on other factors to exist. They take their values based on other factors. Their value is changed as a result of a change in independent variable
An independent variable is a variable which does not change as a result of the change in other factors. They take their values irrespective of external factors around them.
D. People who shop in bookstores are likely to read more books than those who do not.
