Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts? F(x)=-2x-1
2 answers:
<h2>Answer:</h2>
The correct statement is:
- The function f(x) has a higher y-intercept.
We know that the general form of a slope intercept form of a line is given by:
where m is the slope of the line and c is the y-intercept of a line.
The function f(x) is given by:
Hence, on comparing the function to the slope-intercept form of a line we get
The y-intercept of function f(x) is: -1
Also, the table for the function g(x) is given by:
x g(x)
2 2
4 6
6 10
The function g(x) satisfies the equation:
The y-intercept of the function g(x) is: -2
Since we know that:
-1 > -2
This means that the y-intercept of the function f(x) is higher than the y-intercept of the function g(x).
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Answer:
The area of the shape is .
Step-by-step explanation:
The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
The area of the first rectangle is
The area of the second rectangle is
The area of a triangle is given by the formula where <em>b</em> is the base and <em>h</em> is the height of the triangle.
The area of the triangle is
Finally, add the areas of the simpler figures together to find the total area of the composite figure.