Answer:
Step-by-step explanation:
to solve an equation by completing the square in a quadratic formula
f(x)=ax²+bx+c
example :x²-6x-16=0
first rearrange if necessary, move the constant to one side .
x²-6x=16
second you find a new term to complete the square which is (b/2)², and add the term to both sides.(6/2)²=3²=9
x²-6x+9=16+9
x²-6x+9=25
third factorize : find the common factor between 6 and 9 which is 3
x²-6x+9=25
(x-3)²=25
last solve for x: (x-3)²=25
x-3=√25
x=3±5
x=3+5=8 or 3-5=-2
Y = 2/3x - 2....the y int here is -2
and u want a line with a slope of -2/3 and a y int of -2...
y = -2/3x - 2.....so u have a slope of -2/3 (means ur line is decreasing)....and a y int of -2...means ur line crosses the y axis at (0,-2)
ur x int can be found by subbing in 0 for y and solving for x
0 = -2/3x - 2
2/3x = -2
x = -2 * 3/2
x = - 3.....and u have an x int(where ur line crosses the x axis) at (-3,0)
so ur graph for this is : the 4th graph...the last one
Answer:
x/2 +14
Step-by-step explanation:
Answer:
I think its B
Step-by-step explanation:
Answer: 0.2643
Step-by-step explanation:
Let p be the population proportion and 
be the sample proportion .
As per given question , we have
z-score : 
The required probability ( using z-table ):-
Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643
