Answer:
A function is defined as an operation on a number, which gives only one output for every input
while graphing a function, the x-ordinate denotes the input and the y-ordinate denotes the output of the function
Now, lets look at the graph
for the input value '4' , we notice that there are 2 possible outputs. The output can be either 2.5 or -2.5
Since there are multiple outputs for almost every input, this graph cannot denote a function since a function gives only one output
So the “certain number” will be S.
Since 2width + 2length, the first part would be 2 times 2 which is 4
The length is S - 3
We then have to multiply this by 2
So it is 2(S-3) which is 2S-6
So the answer is 4+2S-6 which is 2S-2
Answer:
4 meters
Step-by-step explanation:
Given a quadratic equation in which the coefficient of 
is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.
Since the divers height, y is modeled by the equation
Step 1: Determine the equation of symmetry
In the equation above, a=-1, b=2, c=3
Equation of symmetry, 
Step 2: Find the value of y at the point of symmetry
That is, we substitute x obtained above into the y and solve.
The maximum height of the diver is therefore 4 meters.
The median would decrease because the temperature given is lower than the median
Quadratic formula is x = -b+ or- sq rt b^2-4ac / 2a
a=2 b=5 c=-3
-5 +or- sqrt 5^2-4(2)(-3) / 2(2)
-5 +or- sqrt 49/ 4
-5 + 7 /4 = 2/4 = 1/2
-5 - 7 /4 = -12/4 = -3
Factoring a*c is 2*-3 =-6
Factors of -6 that add to 5 are 6 and -1
Split 5x into +6x-1x
2x^2+6x-1x-3 and group
2x(x+3)-1(x+3)
(x+3)(2x-1)=0
x+3=0 gives x=-3
2x-1=0 gives x=1/2
