We are given the points
<span>(0,-4),(1,0),(2,2)
The standard form a quadratic function (in terms of x) is
y = Ax2 + Bx + C
Subsitute the points
-4 = 0 + 0 + C
C = -4
0 = A + B - 4
2 = 4A + 2B - 4
Solve for A and B
A = -1
B = 5
The function is
y = -x2 + 5x - 4</span>
Answer:
x = 3
Step-by-step explanation:
MQ : MN = 5:6
MP : MO = 5:6
MQ/MN = 5/6
Hence, MP/MO = 5/6
(5+x)/(6+(18/5)) = 5/6
5+x = (5/6)(48/5)
5+x = 8
x = 3
Answer:
Step-by-step explanation:
Given two sets X and Y, a relation between X and Y freely associates elements of X with elements of Y, with no restrictions.
A function is a relation with some restrictions: there must be exactly one element of Y connected with each element of X.
The set X is called the domain of the function, and it represents all the possible inputs that we can feed the function with. As we just said, every element of the domain must have a correlated element in Y.
The set Y is called the range of the function, and it represents all the possible outputs that the function can return.
Answer:
11.9 miles
Step-by-step explanation:
The length of the track is ...
C = 2πr = 2π(200 ft) = 400π ft
Then the length of 50 laps will be ...
50C = 50·(400π ft) = 20,000π ft ≈ 62,831.9 ft
The number of miles (m) this is can be found from ...
m(5280 ft) = 62,831.9 ft
m = 62,831.9/5280 ≈ 11.90 . . . . miles
50 laps is about 11.9 miles.
