-- 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> .
Question 1. 7:11
Question 2. 27 units of K
How to solve the questions-
1. 14/22 divide the numerator and the denominator by 2. This would give you 7/11
2. If the ratio is 12/9 and the amount of N is 36, you’re basically multiplying 12 *3, so then you have to multiply 9 *3=27.
Answer:
x= -5.1
Step-by-step explanation:
The solution to f(x) = g(x) is where to two graphs intersect
The graphs meet at
about x=2 and x = -5
The best answer listed is x = -5.1
We can change the sign of the second term, so that the two parenthesis are the same:
Now, both terms have in common a 3, becase the numeric factors are 3 and 6. If we factor the 3, we have
The parenthesis (a-1) is also in common, so we can factor it as well:
Finally, both terms in the parenthesis contain , because it's the power of b with the lowest exponent:
So, the factorization is
You can swap the order of the four factors (3, b^2, a-1 and 2b-1) as you like: the multiplication is commutative.