Hello,
By definition, the following function meets the requirements
Thanks
Answer:
See below.
Step-by-step explanation:
No. Triangles Perimeter
1 14
2 18
3 22
We see from the table, after the first perimeter (= 14), with each increase of 1 in the number of triangles, the perimeter increases by 4.
As an equation it is P = 14 + 4(n - 1) where P = perimeter and n = number of triangles.
This is a linear function, of the kind y = mx + b
where x is the number of visit, b is the weight when x = 0, and m is the predicted change of weight for every visit.
m = - 4 ounces / visit, which must be converted to pounds (the negative sign indicates that the change is a decrease)
1 lb = 16 ounces = 4 ounces = 0.25 lb
Then m = - 0.25 lb / visit.
Now, for x = 1, y = 126 => 126 = - 0.25(1) + b => b = 126 + 0.25 = 126.25
Then the function is y = 126.25 - 0.25x
Now round to the nearest tenth:
y = 126.3 - 0.3x
Answer: y = 126.3 - 0.3x
Step-by-step explanation:
-3y=12+3x
-y=4+x
y=-4-x and m which is the gradient is the coefficient of x which is -1, therefore m=-1
Answer:
<u>first graph:</u>
function.
Not one-one
onto
<u>Second graph:</u>
Function
one-one
not onto.
Step-by-step explanation:
We know that a graph is a function if any vertical line parallel to the y-axis should intersect the curve exactly once.
A graph is one-one if any horizontal line parallel to the x-axis or domain should intersect the curve atmost once.
and it is onto if any horizontal line parallel to the domain should intersect the curve atleast once.
Hence, from the <u>first graph:</u>
if we draw a vertical line parallel to the y-axis then it will intersect the graph exactly once. Hence, the graph is a function.
But it is not one-one since any horizontal line parallel to the domain will intersect the curve more than once.
But it is onto, since any horizontal line parallel to the domain will intersect the curve atleast once.
<u>Second graph</u>
It is a function since any vertical line parallel to the co-domain will intersect the curve exactly once.
It is not one-one since any horizontal line parallel to the x-axis does not intersect the graph atmost once.
It is not onto, since any horizontal line parallel to the domain will not intersect the curve atleast once.
