Answer:
Graph (C)
Step-by-step explanation:
To find whether the graph\table represents a relationship or a function we have to analyze the input-output values given.
Graph A.
In this graph for every input value (x-value) there are two output values (y-values).
For x = -2, y = -2, 2
So the graph doesn't represent a function.
Graph B.
For every x value there are two y-values
For x = -5, y = -3, 3
So the graph doesn't represent a function.
Graph C.
For every input value there is a different y-value.
Therefore, graph represents a function.
Graph D.
In this graph for x = 3, y = 1, 2, 3, 4
For one value of x, there are four values of y.
Therefore, graph doesn't show the relationship.
Answer:
The y-intercept is 6
Step-by-step explanation:
The y-intercept of a function is where the graph of an equation touches or crosses the vertical axis. This is usually the value of y when x = 0.
For this particular function, when x = 0 ⇒
f(0) = 0^2 + 4(0) + 6
= 0 + 0 + 6
= 6
Therefore, the y-intercept of this function is 6
Answer:
502 Square Meters
Step-by-step explanation:
Surface Area is the sum of the areas of all the surfaces. There are 5 surfaces in total, so we find each surface area and find total Surface Area.
Shown Below:
Bottom Surface is a rectangle, so area is length * width = 10 * 16 = 160
Back Surface is a rectangle, so area is 6 * 16 = 96
Top (front) surface is a rectangle so area is 11.6 * 16 = 185.6
Left and right sides are 2 triangles, so are would be 0.5(base * height) for each. So,
Left triangle = 0.5 * 10 * 6 = 30
Right triangle = 30
Sum of all the surfaces = 160 + 96 + 185.6 + 30 + 30 = 501.6
Rounded to nearest whole number, that is 502
The surface area = 502 m^2
