These equations are already in vertex form. So, we can easily find the vertex of each equation.
f(x) = -(x-1)^2 - 2
Vertex: (1,-2)
The vertex in this equation is the maximum because it faces down (a=-1).
g(x) = (x+2)^2 + 1
Vertex: (-2,1)
The vertex in this equation is the minimum because it faces up (a=1).
Answer:
17.76
Step-by-step explanation:
0.44 x 4 = 1.76
4 x 4 = 16
16+1.76=17.76
I think it is gonna be 2:7
Answer: he invested $46062.5 at 6% and $23031.25 at 10%
Step-by-step explanation:
Let x represent the amount which he invested in the account paying 6% interest.
Let y represent the amount which he invested in the account paying 10% interest.
He puts twice as much in the lower-yielding account because it is less risky.. This means that
x = 2y
The formula for determining simple interest is expressed as
I = PRT/100
Considering the account paying 6% interest,
P = $x
T = 1 year
R = 6℅
I = (x × 6 × 1)/100 = 0.06x
Considering the account paying 10% interest,
P = $y
T = 1 year
R = 10℅
I = (y × 10 × 1)/100 = 0.1y
His annual interest is $7370dollars. it means that
0.06x + 0.2y = 7370 - - - - - - - - - -1
Substituting x = 2y into equation 1, it becomes
0.06 × 2y + 0.2y = 7370
0.12y + 0.2y = 7370
0.32y = 7370
y = 7370/0.32
y = $23031.25
x = 2 × 23031.25
x = 46062.5
Answer:
(a) 0.873 (b) 0.007 (c) 0.715 (d) 0.277 (e) 1.25 and 1.09
Step-by-step explanation:
The probability that the random variable X takes the value x is given by P(X=x) = 
. Then,
(a) 
(b) 
(c) 
(d) 
(e) E(X) = np = (25)(0.05) = 1.25 and 
