Start by looking at the vertex form of a quadratic function, f(x) = a(x - h)^2 + k. The variables h and k are the values of the vertex. Plug those in to get f(x) = a(x - 4)^2 + 5. To find the variable a, plug in the point given for the x and y values. So, you get (21) = a((8) - 4)^2 + 5. Solve for a algebraically, and you get a = 1. Finally, plug everything in and simplify the equation. You should get that the quadratic function is f(x) = x^2 - 8x + 21. Hope this helps!
Answer:
add them together
Step-by-step explanation:
Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.
Answer:
-2/5
2
Step-by-step explanation:
Slope is rise over run according to my former algebra teacher, but I learned it differently (still correct tho).
The first moves 2 units down so negative 2, and moves 5 units right, so -2/5 since the rise is -2, and run is 5.
The second one moves 2 x-units for every 1 y-unit, so the slope is 2,
Answer:
12,633.7
Step-by-step explanation:
population of Chicago, in 2003 = 2,869,121
The area of Chicago = 227.1 square miles.
What was the average number of people living in 1 square mile?
Average number of people living in 1 square mile also refers to the population density of Chicago
Average number of people living in 1 square mile = Total population / total square miles
= 2,869,121 / 227.1
= 12633.734037868
Approximately
12,633.7
