Both equations have as the left hand side.
Then, in a situation like
we can deduce , since they both equal
So, we can set up the equation
The solutions are
From the second equation we know that y is one more than x, so we have
Lets take 6/9. 9 is a multiple of 27, multiply 9 times 3 for a denominator of 27. Whatever we to do the bottom, we do to the top. So multiply 6 by 3 as well for numerator of 18. This gives us our answer, 18/27.
Answer:
maximum height is 80 feet
8 seconds until it hits ground
Step-by-step explanation:
-5t(t - 8) = 0
-5t= 0; t = 0 (this represents the beginning of the throw)
t-8=0; t = 8 (this represents the end of the throw)
To find maximum height, find the vertex of the graph,
you can use -b/2a to find 't' and then substitute that value back into the function to find h(t)
x = -40÷2(-5)
x = -40/-10
x = 4
h(4) = -5(4²)+40(4)
h(4) = -5(16) + 160 which is 160 - 80 = 80
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].
Answer: They represent loyalty and wise advice through the book and movie
Explanation: they almost give off a father figure through the plot and climax. The theme is deep it can be love or respect