X= A) 80 I believe you double 120 to 240 and divide by the 4 quarters.
Answer: x=-7
Step-by-step explanation:
1. distribute the 2 to (3x-12) >>>> 8x+6x-24=-122
2. add 8x and 6x to get 14x >>>> 14x-24=-122
3. add 24 to both sides>>>> 14x=-98
4. divide 14 by both sides>>>x=-7
Answer:
m<A=94
Step-by-step explanation:
(2x+10)+(2x+2)=180
4x+12=180
-12 -12
4x=168
/4 /4
x=42
m<A= 2x+10
m<A=2(42)+10
m<A=84+10
m<A=94
Check:
Add m<A and m<B which should equal 180.
m<B=2x+2
m<B=2(42)+2
m<B=84+2
m<B=86
94+86=180
<span>slope
m = (1 - 1)/(0 + 2) = 0
(x1, y1) as (-2, 1)
</span><span>point-slope form</span><span>
y - y1 = m(x - x1)
y - 1 = 0(x + 2)
y - 1 = 0
y = 1</span>
-- They're losing employees . . . so you know that the line will slope down, and
its slope is negative;
-- They're losing employees at a steady rate . . . so you know that the slope is
the same everywhere on the line; this tells you that the graph is a straight line.
I can see the function right now, but I'll show you how to go through the steps to
find the function. I need to point out that these are steps that you've gone through
many times, but now that the subject pops up in a real-world situation, suddenly
you're running around in circles with your hair on fire screaming "What do I do ?
Somebody give me the answer !".
Just take a look at what has already been handed to you:
0 months . . . 65 employees
1 month . . . . 62 employees
2 months . . . 59 employees
You know three points on the line !
(0, 65) , (1, 62) , and (2, 59) .
For the first point, 'x' happens to be zero, so immediately
you have your y-intercept ! ' b ' = 65 .
You can use any two of the points to find the slope of the line.
You will calculate that the slope is negative-3 . . . which you
might have realized as you read the story, looked at the numbers,
and saw that they are <u>firing 3 employees per month</u>.
("Losing" them doesn't quite capture the true spirit of what is happening.)
So your function ... call it ' W(n) ' . . . Workforce after 'n' months . . .
is <em>W(n) = 65 - 3n</em> .
