9514 1404 393
Answer:
-4
Step-by-step explanation:
The points at the ends of the interval are ...
(3, f(3)) = (3, 8)
(6, f(6)) = (6, -4)
The slope is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -8)/(6 -3) = -12/3 = -4
The average rate of change is -4.
Answer:
x = 12
Step-by-step explanation:
Complementary angles add up to have a sum of 90 degrees. We can create an equation and solve for x.
3x + 6x - 18 = 90
~Simplify
9x - 18 = 90
~Add 18 to both sides
9x = 108
~Divide 9 to both sides
x = 12
Best of Luck!
The original price is 67 and 4 percent dissocount
Answer:
81 adult tickets
Step-by-step explanation:
Step 1:
Set up a system of equations
Since the adult tickets and student tickets add to 243, we can do

and the student tickets sold were 2x the adult tickets, we can do

We can replace s in the first equation adding to 243 with 2a

Step 2:
Solve for a. We can divide both sides by 3.

Therefore, there were 81 adult tickets sold.
Step 3:
We can check our work! Since we learned earlier the student tickets are 2x adult tickets, we can multiply 81 by 2 and add that to 81 to see if it equals 243!

And...

So, 81 must be the answer!
The distance between the focus and directrix is, in this case, 8. Since the directrix is at x= something, the parabola opens sideways, and since the directrix is on the left, to the right. In which case, y^2=p(x), where p is 4 times distance of half of distance between directrix and focus, so the answer is y^2=16x