Well, think of the dragonfly's speed as a ratio of miles/hours, thus making it 36/1 (as a fraction). Now to solve this, set the known ratio equal to the ratio you want to find and solve for the missing variable (x) which is hours. Cross multiply to find your (x) hours.
Initially started 20 feet from the ground .
Went uphill 83 feet.
So: 20 + 83 = 103. The coaster is 103 ft above at this point.
Went down 42 feet
So: 103 - 42 = 61.
Went up 128 feet
So: 61 + 128 = 189
Finally, went down 90 feet
So: 189 - 90 = 99
99 ft above ground.
Answer:
2nd answer choice
Step-by-step explanation:
Note that g(x) is a 2nd order polynomial whose graph is the familiar parabola that opens up. f(x) is, by contrast, a 2nd order polynomial whose graph is the familiar parabola that opens down.
The graph starts in Quadrant III and ends in Quadrant IV.
While in Quadrant III: if x increases, y decreases.
While in Quadrant IV: if x increases, y decreases.
This is the 2nd answer choice.
1) 2 1/3 is also equal to 7/3
4 1/5 is also equal to 21/5
you need to make the denominators the same so you have to find the lowest common multiple, which is 15 since both 5 and 3 can be times by to make 15
you need to also times the numerators by the number you're timesing the denominator by
7/3 x 5 = 35/15
21/5 x 3 = 63/15
now add those together
35/15 + 63/15 = 98/15
now just convert 98/15 back to a mixed fraction
98/15 = 6 8/15
the answer is..
I'll do the others in a different answer!!
This would be a great question to just plug into a calculator. I'm sure you will find the answer quite easily if you use a calculator.