By definition we have to:
A mathematical function is a relationship that is established between two sets, through which each element of the first set is assigned a single element of the second set or none.
The initial set or starting set is also called the domain; the final set or set of arrival, meanwhile, can be called codomain.
We have the following information:
{(-5.2), (-2.5), (0.7), (0.9)}
The data does not represent a function because two different values of the range belong to an element of the domain:
(0.7)
(0.9)
Answer:
The relation is not a function.
9514 1404 393
Answer:
y = -2x^2 +7x +4
Step-by-step explanation:
A graphing calculator or spreadsheet can tell you the quadratic regression formula that will fit these points:
y = -2x^2 +7x +4
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If you'd like to do this "by hand", you can substitute the given points into the equation y = ax^2 +bx +c to get three linear equations in a, b, c.
4 = 0 +0 +c
10 = a(2^2) +b(2) +c
0 = a(4^2) +b(4) +c
Using the value of c from the first equation, these reduce to ...
6 = 4a +2b
-4 = 16a +4b
Dividing the second of these equations by 2, and subtracting the first, we have ...
(16a +4b)/2 -(4a +2b) = (-4)/2 -(6)
4a = -8
a = -2
From the first of the reduced equations, we find ...
b = (6 -4a)/2 = 3 -2a = 3 -2(-2) = 7
So, a=-2, b=7, c=4, and the equation is ...
y = -2x^2 +7x +4
Answer:
63 metres
Step-by-step explanation:
Distance covered in 1 second = 3 m
Time taken =21 sec
Her position = 3 x 21 m = 63 metres
Answer:
It should be $12168.75
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year,
then, solving our equation
I = 11000 × 0.0425 × 2.5 = 1168.75
I = $ 1,168.75
The simple interest accumulated
on a principal of $ 11,000.00
at a rate of 4.25% per year
for 2.5 years is $ 1,168.75.
1,168.75 + 11000 = 12168.75
