N(p)=12x+22
12 slope/22 y-intercept
Sample space for:
First shooting a basketball. Two options: X or O
Then rolling a die. Six options: 1, 2, 3, 4, 5, or 6
Sample space:
X1
X2
X3
X4
X5
X6
O1
O2
O3
O4
O5
O6
Answer: Options:
A. X1
C. O6
F. X6
The range is the highest y value to the lowest y value
ok
find the vertex because it is the highest or lowest point in the equation
make into f(t)=a(x-h)²+k form
(h,k) is the vertex
k is the y value of the vertex
if a>0, then the vertex is the minimum
if a<0, then the vertex is the maximum
so
f(t)=t²-6t
f(t)=t²-6t+9-9
f(t)=(t-3)²-9
f(t)=1(t-3)-9
k=-9
a=1
1>0
so y=-9 is the minimum value
the maximum value will be infinity
so the range is from y=-9 to infintiy
so R=[9,∞)
So (2x+5) and (x+55) are equal to each other, so
2x+5 = x+55
x+5 = 55
x = 50