Which point represents the opposite of —5 on the number line?
2 answers:
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Answer:
Given the function: .....[1]
An exponential function is in the form of .
- If
and b <1, then the graph is increasing
- If a< 0 and b >1 , then the graph is decreasing.
- If a> 0 and b<1, the the graph is decreasing.
- if a< 0 and b > 1. then the graph is increasing.
From the given equation [1] we have;
Here, a = -2 < 0 and b = 3 > 1.
For this function, x-intercepts doesn't exist, as it does not crosses the x-axis graph.
y-intercept states that the graph crosses the y-axis.
Substitute value of x =0 in [1] to solve for y;
y = -2
y-intercept = (0, -2)
End Behavior of the given graph :
If , then
and
If , then
Also, You can see the graph as shown below in the attachment.
Answer:
3.9 in^2
Step-by-step explanation:
Split it up into a top rectangle and a bottom rectangle. Find the area of the top rectangle and subtract the combined area of the two quarter circles.
The area of the rectangle is 6 * 3 = 18. The area of the two quarter circles is the same as the area of one semicircle, and since the radius is 3 you can do:
3^2 * pi / 2 = 9pi/2. As a decimal this would be: 14.14.
Then, you can do rectangle - circle = 18 - 14.14 = 3.86. Rounded to the nearest tenth, this is 3.9
