Solve for xxx. Your answer must be simplified. -4+x≤9
1 answer:
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Answer:
A) (3, 12)
Step-by-step explanation:
For such a problem, I like to use a graphing calculator. It shows the answer quickly without a lot of fuss.
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If you want to solve this analytically, set the difference in y-values equal to zero and solve the resulting quadratic in the usual way. This will give the x-value at which the y-values are equal. (After we find x, we still need to find y.)
... y - y = 0
... x² -2x +9 -4x = 0
... x² -6x +9 = 0 . . . . . . collect terms. Recognize this as a perfect square.
... (x -3)² = 0
... x = 3 is the solution to this
... y = 4x = 4·3 = 12
The point on each of the given curves is (x, y) = (3, 12). The line is tangent to the parabola there, so there is only one point of intersection.
Answer:
The speed is inversely proportional to the time when the same distance is traveled.
Step-by-step explanation:
Given that:
The distance traveled by the biker in 8 hours is 120 mi.
The speed of the biker=120/8=15 mi/hr.
[as speed=Distance travelled/Time taken]
As all take the same route, so the distance traveled by all is the same which is 120 mi
The time taken by the bus to cover this distance is 2 hours.
So, the speed of the bus = 120/2=60 mi/hr.
The time taken by the truck is 2.5 hours.
So, the speed of the truck = 120/2.5=48 mi/hr.
And the time taken by the rider is 18.75 hours.
So, the speed of the rider = 120/18.75=6.40 mi/hr.
Now, observe that to cover the same distance, the bus takes the least time, so, the bus is traveling at the fastest speed among all, while the rider has the slowest speed as the distance is the same for all. The truck and the biker have speed in between the speed of the bus and the rider.
It can be concluded that when the time of the journey for the same distance is less than speed is more.
So, the speed is inversely proportional to the time when the same distance is traveled.
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