The student made a mistake in Line 1: AC=2, DF=2 AC ≅ DF .
Solving y+2x < 4x-3 for y would lead to y < 2x-3. You subtract 2x from both sides of the original inequality to get to this result.
To graph y < 2x-3, you first graph y = 2x-3 which is a straight line that goes through (0,-3) and (1,-1). This line is a dashed or dotted line as solutions are not found on the boundary. The shaded region is below the dashed/dotted boundary line to indicate where the solution set is.
To summarize: the graph is a dashed line through (0,-3) and (1,-1) with the shading below the dashed line
The answer is between A and B. It will depend on how those graphs look as to which is the final answer.
A) The domain of this relation would be 0,4,3,5, and 6. These are our possible x values for the function. Since this equation doesn't tell us to assume that it's a function then it's fine for us to list them separately.
B) The range of this function is 2 and 1. This is for the same reasons listed in A.
C) This can be a function because although it has the same y-values several times, the x values are always different. This would not be a linear function though, since the slope should be zero, and the value (5,1) would come off of the function y=2.
Answer:
3/20 1.5/10 15/100 15%
Step-by-step explanation:
done
Answer:
C
Step-by-step explanation:
An approximation of an integral is given by:

First, find Δx. Our a = 2 and b = 8:

The left endpoint is modeled with:

And the right endpoint is modeled with:

Since we are using a Left Riemann Sum, we will use the first equation.
Our function is:

Therefore:

By substitution:

Putting it all together:

Thus, our answer is C.
*Note: Not sure why they placed the exponent outside the cosine. Perhaps it was a typo. But C will most likely be the correct answer regardless.