Step-by-step explanation:
The slope is described by the the initial and final value of one quantity over the difference between the initial and final of the other
Rate: for points on a Cartesian plane,(x1, y1) and (x2, y2)
the slope, m= (y2 - y1)/(x2 - x1)
The rate of change on the other hand is mostly refers to how much a quantity is changing with time i.e the rate of change of y from y1 to y2 can be expressed as
rate = (y2 - y1)/(t2 - t1)...where t1 and t2 are the various time in y1 and y2 respectively...
Answer:
7
Step-by-step explanation:
1) "x is 23 more than 3 times y" is the same thing as "x = 23 + 3y"
REMEMBER: when you see "is" replace is with an equals sign.
2) Solve for x with your new equation.
3) Plug 6 into the y ("y = 6")
x = 23 + 3 x 6... x = 23 + 18... x = 41
4) Plug in your variables, and evaluate.
(41 - 6)/5... 35/5... 7!
A=162sq......... bless up
The company picnic cost $ 1300 for 80 employees
<em><u>Solution:</u></em>
Given that cost of a company picnic varies directly as the number of employees attending the picnic
Let "c" be the company picnic cost
Let "n" be the number of employees attending the picnic
Therefore,


Where "k" is the constant of proportionality
c = kn ---------- eqn 1
<em><u>Given that company picnic costs $487.50 for 30 employees</u></em>
Therefore substitute c = 487.50 and n = 30

<em><u>How much does a company picnic cost for 80 employees?</u></em>
Substitute n = 80 and k = 16.25 in eqn 1

Thus $ 1300 is the cost for 80 employees
Answer: ( 12 , 9 )
Step-by-step explanation:
The formula for finding the coordinate of points when a line is externally divided in a given ratio is given by :
x = 
y = 
From the question
= 2
= ?
x = 4
= -1
= ?
y = 1
p = 1
q = 4
substituting the values into the formula ,we have
x = 
4 = 
4 = 
+ 8 = 20
= 12
Also
y = 
1 = 
- 4 = 5
= 9
Therefore , the end of the stencil is located at point ( 12 , 9 )