Answer:
(x - 6)^2 = 42
Step-by-step explanation:
Using " ^ " to indicate exponentiation, we have:
x^2 - 12x -6=0
Here the coefficients of this quadratic equation are a = 1, b = -12 and c = -6.
Start by taking HALF of the coefficient of x, that is, HALF of -12. We get -6.
Next, square this result: (-6)^2 = 36.
Finally, add this 36 to both sides, obtaining:
x^2 - 12x + 36 - 6 = 36
Rewriting the first three terms, we get:
(x - 6)^2 - 6 = 36, or
(x - 6)^2 = 42 This is the end result to "completing the square."
If you want to go further and actually solve for x, then see below:
Taking the square root of both sides, we get
x - 6 = ±√42
Then x = 6 ± √42, or
x = 6 + √42 and
x = 6 - √42
Answer:
The salesperson called 200 people this month.
Step-by-step explanation:
Let us denote the total people that the salesperson called by a variable "x".
Then,
The ratio of successful signups(success ratio) is given as=0.625
Then total no. of successful signups is the product of the success rate and the total no. of signups ,
i.e. Total successful signups = 
According to the data given in the question,
The total no. of successful signups this month =125
or , 
or, 
∴x= 200
So, the salesperson called 200 people, out of which only 125 signed up.
Answer: 4
there are six sides on a cube. all sides/edges are equal so 6 sides times 4 units = 24.
Average rate of change=slope
f(x)=x-5
f(x) could be subsitututed with y so
y=x-5
this is in y=mx+b form where m=slope and b=y-intercept
y=1x-5
slope=1
average rate of change=1/1
if x=-2 then
y=-2-5
y=-7
if x=1 then
y=1-5
y=-4
the graph of y=x-5 is included in the attachment
4 1/2 days. I first made the fractions have an equal denominator(24). Then make the numerator equal up. (1/6 to 4/24) (3/4 to 18/24). Then, I counted (by 4/24) until I got to 18/24.