<u>Answer</u>
-4x - 2
<u>Explanation</u>
To get the function needed, first calculate the slope of the graph.
slope = (change in y) / (change in x)
= (2 - -2)/(-1 - 0)
= 4/-1
= -4
Now use one of the point (-1, 2) in the graph and a general point (x,y) to find the function.
-4 = (y - 2)/(x - -1)
-4(x + 1) = y - 2
-4x - 4 = y - 2
y = -4x - 4 + 2
= -4x - 2
∴ f(x) = -4x - 2
Answer:
For maximum area, all of the wire should be used to construct the square.
The minimum total area is obtained when length of the wire is 10m
Step-by-step explanation:
For maximum, we use the whole length
For minimum,
supposed the x length was used for the square,
the length of the side of the square = x/4m
Area =
For the equilateral triangle, the length of the side = 
Area = 
Total Area =
+ 

, therefore it is minimum


x = 10.00m
2. 5 hours
3. $200
4. 9.5 hours. If it has to be whole numbers, 10 hours
Hope that helps!
<em>-scsb17hm</em>
First find the common factor of -30 and 75, which is 15.
Next find the common factors of the variables:
The factors of x$6 is x*x*x*x
Factor for y is y
Factors for Z^3 is z*z*z
Factors for Z^2 is z*z
The GCF would be x^4z^2
Final answer = 15x^4z^2
By setting up a system of equations we can easily solve this problem. Let's denote Jane's working hours with x and Jack's working hours with y. Since they don't want to work more than 65 hours, the first equation is x+y=65. The second equation is 14x+7y=770. By solving this system of equation

, we find that y=20 hours, which is Jack's maximum working hours.