Answer:
<u>Function Table</u>
<u>x | f(x)</u>
0 | 1
1 | 3
2 | 5
View Image For Graph
Step-by-step explanation:
This function follows the general equation for the slope-intercept formula:
y = mx + b
m is the slope, which is how much the graph move up whenever to move to the right by 1. In our case, our slope is m=2, so every time we move right by 1, we have to move up by 2.
b is the y-intercept. it's basically the starting point when x is 0. In our case, b=1 so we start at (0, 1)
Answer:
The area of the shaded region is about 58.9 square inches.
Step-by-step explanation:
To solve this question, let's recall some facts.
We know that the area of a circle can be defined as the following:
where r is the radius of the circle.
We too know that circles have a diameter and a radius. The diameter of a circle is the distance a line that connects two points on a circle with its center, and the radius is half of the diameter.
We also know that figures can touch each other, or be in tangent with each other. For the sake of simplicity, we're going to assume that the shaded circles are in tangent with each other, or touch each other. Because they touch each other, these three circles can share 5 in. of the 15 in. rectangle. This means that the circles are 5 in. in diameter, or 2.5 in in radius.
Now, we can solve the problem.
Because we have 3 circles, each with 2.5 in. radii, we can have the following expression which represents the total area of these circles:
After approximation, I can conclude that the area of the shaded region is 58.9 square inches.