y = 2x^2 - 12x + 46
Compare your equation with the standard form of the equation:
y = ax^2 + bx + c
For your equation, a = 2, b = -12, c = 46.
The vertex has x-coordinate -b/(2a).
The x-coordinate of the vertex is: -(-12)/(2 * 2) = 12/4 = 3
Now we plug in x = 3 into the function to find the y-coordinate of the vertex.
y = 2(3^2) - 12(3) + 46
y = 2(9) - 36 + 46
y = 18 - 36 + 46
y = 28
The vertex is (3, 28)
26.563 miles
Add all of them up and it equals the total of how many miles they ran together
You can use models to estimate percent questions by estimating the locations of 50%, 75%, 40%, 6%, and 65% on the model..
Answer:
r = -29/20 or r = -1.45
Step-by-step explanation:
I believe you are saying that the equation is -2 1/4 = r - 4/5. If so, then I would solve it in this way:
-2 1/4 = r - 4/5
-9/4 = r - 4/5
-9/4 (20) = r (20) - 4/5 (20)
-45 = 20r - 16
20r = -29
r = -29/20
r = -1.45
Check:
-2 1/4 = r - 4/5
-9/4 = r - 4/5
-2.25 = r - 0.8
-2.25 = -1.45 - 0.8
-2.25 = -2.25
-9/4 = -9/4
To write it in simplest form, you must find a common factor.
In

, 3 is a factor of both 3 and 9
3÷3=1 and 9÷3=3
So


is your answer in simplest form.