Answer:
1. -1/28
2. -4
3.A) The attendance increased by an average of 25 people per game from game 2 to game 5.
4. -.125
Step-by-step explanation:
To find the rate of change, we use the formula
f(x2) - f(x1)
--------------
x2-x1
1.
f(x) = -(x) ^ 1/3
f(64) = -(64) ^ 1/3 = -4
f(8) =- (8)^1/3 = -2
f(64) - f(8) -4--2 -4+2 -2 -1
-------------- = --------- = ------------- = ----------- = ------
64 - 8 56 56 56 28
2.
f(2) = 9
f(-2) = 25
f(x2) - f(x1) f(2) - f(-2) 9-25 -16 -16
-------------- =----------- = ----------------- = ---------- = ----------- = -4
x2-x1 2--2 2+2 4 4
3.
f(5) = 755
f(2) = 680
f(x2) - f(x1) f(5) - f(2) 755-680 75
-------------- = ---------- = -------------- = ---------- = 25
x2-x1 5-2 3 3
A) The attendance increased by an average of 25 people per game from game 2 to game 5.
4.
f(-1) = -.25
f(1) = -.5
f(x2) - f(x1) f(1) - f(-1) -.5 --.25 -.5+.25 -.25
-------------- = ---------- = -------------- = ---------- = --------- = -.125
x2-x1 1--1 1+1 2 2
Answer:
f(x) = ax^5 + bx^3 + cx^2 + 12.
Step-by-step explanation:
the degree is 5 so we will have a term like:
ax^5
it crosses the vertical axis at y = 12 so we will have a constant term equal to 12
the polynomial has 4 terms, and we already have two so we can make up two more but the exponent must be between 1 and 4
f(x) = ax^5 + bx^3 + cx^2 + 12.
it has 4 terms, f(0) = 12, then it intersects the y-axis at y = 12, and the maximum exponent is 5, then the degree of f(x) is 5
Answer:
d) f(x) = 5x + 2
Step-by-step explanation:
First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.
Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2
To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.
Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2
Answer:
{3, 6, 10}
Step-by-step explanation:
Any value of v that is greater than 1 is a solution.
Solutions here include {3, 6, 10}
Answer:
36π inches which is 113.10 inches to the nearest hundredth
Step-by-step explanation:
The circumference = 12 * π
Rotating 3 times the distance moved is 3 * 12π.
