Mathematics, 12.07.2019 00:40 AshantiLiz990

Plz ! , boris is playing on the mall escalators. one escalator goes up, one goes down, and one is out of service; otherwise, they're all identical. the up and down escalators go at the same speed. you can assume that boris always runs at the same speed. boris can run up the up escalator in 6 seconds. he can run up the down escalator in 30 seconds. how long does it take him to run up the out-of-service escalator? explain your answer

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Answer from: sierram298

10 sec

Step-by-step explanation:

Given

Boris can run up the escalator in 6 sec

Also he can run up the down escalator in 30 sec

i.e. He travel same distance either ways

Let the distance be x and v be the speed of boris and v_0 be the speed of escalator.

$x=6\times \left ( v+v_0\right )$ ----1

$x=30\times\left ( v-v_0\right )$ ----2

Equating 1 and 2

$5\left ( v-v_0\right )=v+v_0$

5v-5v_0=v+v_0

$v_0=\frac{2}{3}v$

substituting in 1

$x=6\times \left ( v+v\frac{2}{3}\right )$

$x=6\times v\frac{5}{3}=10v$

Thus form above equation we can say that it requires 10 sec for Boris to climb up in out of service escalator.

Answer from: Quest

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

Me if you can and if you finished this lesson on edg- comment you.

Answer from: Quest

180

step-by-step explanation:

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