Answer:
The total cost of the fencing as a function of side is .
Step-by-step explanation:
Dimensionally speaking, the total cost is equal to the product of length and cost per length. Given that orchid garden has a square form, there is only an input: Side (), measured in feet. Therefore, the total cost of fencing is represented by the following formula:
Given that and
, the total cost of the fencing as a function of side is:
Answer:
<em>f(x) = </em><em> x - 2 </em>
Step-by-step explanation:
Slope of the line: m =
y - = m( x -
)
f(x) = mx + b (b - is y-intercept)
(0, - 2) Coordinates of y-intercept
(4, - 3)
m = =
<em>f(x) = </em><em> x - 2</em>
Answer:
Hence, the quadratic equation is:
Step-by-step explanation:
Let the quadratic formula be given by:
Now we are given the interpolating points and there corresponding values as:
(-1,-4), (0,0) and (2,-10).
this means then x=-1 f(x)=-4
when x=0 then f(x)=0
and when x=2 then f(x)=-10
so we first put x=0
then f(x)=0=c
hence c=0.
now we are left with the function:
Hence now we put x=-1 in equation (1)
we get:
now we put x=2
On solving equation (2) and (3) by elimination we get:
Multiply equation (2) by 2 and add to equation (3) we obtain;
2a-2b= -8
4a+2b= -10
---------------------------
6a=-18
⇒ a= -3 on dividing both side by 6.
Hence on putting the value of a in equation (2) we get:
b=1
Hence, the quadratic equation is: