Answer:
1
Step-by-step explanation:
f(x) = x^2 - 2x - 4
when x = -1, f(-1) = (-1)^2 - 2(-1) - 4 = 1 + 2 - 4 = -1
when x = 4, f(4) = (4)^2 - 2(4) - 4 = 16 - 8 - 4 = 4
The average rate of change from x = -1 to x = 4:
f(4) - f(-1) 4 - (-1) 5
---------------- = -----------------= -------- = 1
x4 - x1 4 - (-1) 5
Answer
The average rate of change = 1
Volume= area of base x height
base= 3.14 x 4^2(8/2=4 for the radius)
base=50.24
base x height=50.24 x 23=1155.52, or 1156 ft3
Is there a question or are you giving out free points???
Answer:
Step-by-step explanation:
With the initial statement, when the trees become very old, they stop flowering, it would be expected that only trees that has stopped flowering are to be considered because they are assumed to be old trees.
But with the additional information, we had to choose trees that were
no more than 240 cm tall, the choice of trees now is only those who are not more than 240 cm tall. This implies that the choice of trees to be considered now may be old or young, once they meet the required height.
Simplifying
2x + -1y + -3z = 5
Solving
2x + -1y + -3z = 5
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'y' to each side of the equation.
2x + -1y + y + -3z = 5 + y
Combine like terms: -1y + y = 0
2x + 0 + -3z = 5 + y
2x + -3z = 5 + y
Add '3z' to each side of the equation.
2x + -3z + 3z = 5 + y + 3z
Combine like terms: -3z + 3z = 0
2x + 0 = 5 + y + 3z
2x = 5 + y + 3z
Divide each side by '2'.
x = 2.5 + 0.5y + 1.5z
Simplifying
x = 2.5 + 0.5y + 1.5z
