Answer:
The vertex is (2,1)
Step-by-step explanation:
ƒ(x) = –x^2 + 4x – 3
Factor out the negative
= -(x^2 -4x+3)
Factor
What 2 numbers multiply to +3 and add to -4
-3*-1 = 3
-3+-1 = -4
f(x) = -( x-3)(x-1)
Find the zeros
0 = -( x-3)(x-1)
0 = x-3 0 = x-1
x=3 x=1
The x value of the vertex is 1/2 way between the two zeros
(3+1)/2 = 4/2 =2
To find the y value, substitute x=2 in
f(2) = -( 2-3)(2-1)
=-(-1)(1) = 1
The vertex is (2,1)
See the attached figure
we know that
[<span>the area of the trapezoid]=[area rectangle]+2*[area triangle]
</span>[the area of the trapezoid]=[14*12]+2*[12*2/2]=192 in²
the answer is 192 in²
Answer:
lower 95% Cl is 0.292
Step-by-step explanation:
p^ = 0.4783
n = 23
for 95% Cl,
z = 1.9600
Inputting all the available data into P as attached below
LCL = 0.292
UCL = 0.670
therefore, lower 95% Cl = 0.292
8 weeks
You’ll take 5 quizzes per week, so you divide 40 by 5
0.5•175=87.5 This is you answer, do you understand?