F(x) = x² increases at a faster rate than g(x) = 2x.
f(x)
Reason:
x = 0, 1, 2, 3, 4, 5, 6, 7
f(x) = 0, 1, 4, 9, 16, 25, 36, 49
g(x) = 0, 2, 4, 6, 8, 10, 12, 14.
Comparing the values of f(x) and g(x), we can see that that of f(x) are far higher than that of g(x) for the same values of x.
So f(x) increases at a faster rate.
Answer:
Part A
16 and 1/2 or 16 R6, 17 if you round up
Part B
Answer choices A and D are correct
Answer:
15 degrees
Step-by-step explanation:
Draw a horizontal segment approximately 4 inches long. Label the right endpoint A and the left endpoint C. Label the length of AC 4.2 meters. That is the horizontal distance between the eye and the blackboard.
At the right endpoint, A, draw a vertical segment going up, approximately 1 inch tall. Label the upper point E, for eye. Label segment EA 1 meter since the eye is 1 meter above ground.
At the left endpoint of the horizontal segment, point C, draw a vertical segment going up approximately 2 inches. Label the upper point B for blackboard. Connect points E and B. Draw one more segment. From point E, draw a horizontal segment to the left until it intersects the vertical segment BC. Label the point of intersection D.
The angle of elevation you want is angle BED.
The length of segment BC is 2.1 meters. The length of segment CD is 1 meter. That means that the length of segment BD is 1.1 meters.
To find the measure of angle BED, we can use the opposite leg and the adjacent leg and the inverse tangent function.
BD = 1.1 m
DE = 4.2 m
tan <BED = opp/adj
tan <BED = 1.1/4.2
m<BED = tan^-1 (1.1/4.2)
m<BED = 15
Answer: 15 degrees
The answer is 5/9. I showed a bit more work on the other post