The graph shows a line that passes through the points (0, 0) and (4, 6). The slope of the line is:

m = (y2 - y1) / (x2 - x1) = (6 - 0) / (4 - 0) = 3/2
Therefore, the answer is B.

he model overestimates the average fuel economy for the speeds between 15 and 35 miles per hour. There are 4 speeds in this range, so the model overestimates the average fuel economy for 4/12 = 1/3 of the speeds.

The P-intercept is the point where the graph crosses the P-axis. This happens when the sales S is zero. So, the P-intercept represents the least amount in thousand dollars that a salesman will receive in a month. So the answer is A.

The graphs of f(x) and g(x) intersect at two points, which means that the equation f(x) = g(x) has two solutions. The vertical distance between the graphs is constant, so any horizontal shift of f(x) will not change the number of solutions to the equation f(x) = g(x). Therefore, options A and C are not the correct answer.

Option B, h(x) = f(x – 1) + 4, shifts the graph of f(x) one unit to the right. This means that the graphs of f(x) and g(x) will no longer intersect, so the equation h(x) = g(x) will have no solutions. Therefore, option B is the correct answer.

Option D, h(x) = f(x + 2) – 3, shifts the graph of f(x) two units to the left and down by three units. The graphs of f(x) and g(x) will still intersect at two points, so the equation h(x) = g(x) will still have two solutions. Therefore, option D is not the correct answer.

In conclusion, the correct answer is option B, h(x) = f(x – 1) + 4.

We know that BC=5 and AD=1/2CD. Since △ABC∼△ADE because they are both right triangles, we have that BC/DE​=AC/AD​. Substituting in the known values, we get that DE/5​=1/2/3/2=1/3. Hence, DE=1/3.5= 5/3