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Sergeu [11.5K]
3 years ago
14

Which values of x are point(s) of discontinuity for this function? Please explain how you did it.

Mathematics
2 answers:
solniwko [45]3 years ago
5 0

Answer:SAME AS ABOVE

Step-by-step explanation:

bixtya [17]3 years ago
3 0
<span>The correct answers are:
x = 0
x = 2

Explanation:
When x < 0, the value of y = -</span>x^2<span>.
When x > 0, the value of y = </span>x^2<span>.
When x = 0, there is no value of y mentioned in the conditions; it means that there is discontinuity at x = 0.

When x < 2, the value of y = </span>x^2<span>.
When x >= 2, the value of y = 2.

It means that, at x = 2, there is a discontinuity because the graph of y = </span>x^2 is not touching the graph of y = 2 at x = 2.
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PLZ HELP OR I FAIL MY TEST
Volgvan

Answer:

time upstream=24/8=3 hours

time downstream=24/12=2 hours

Step-by-step explanation:

If R*T=D, and R is speed + or - current, how can you find the rate without the time, and how can you find the time without the rate?

THE KEY WAS WHEN WE WERE TOLD THAT IT TAKES ONE HOUR LONGER TO GO UPSTREAM THAN DOWNSTREAM BECAUSE T=D/R AND WE ARE TOLD THAT:

D/R(Upstream) minus 1 equals D/R (DOWNSTREAM)



Let x=rate of current

distance(d)=rate(r) times time(t) or d=rt or t=d/r

distance upstream=distance downstream=24 mi

rate upstream=10-x

rate downstream=10+x

time upstream=(distance upstream)/(rate upstream)=24/(10-x)

time downstream=(distance downstream)/(rate downstream)=24/(10+x)

Now, we are told that time upstream minus one hour equals time downstream. So our equation to solve is:

24/(10-x)-1=24/(10+x) Multiply both sides by (10-x)(10+x)

24(10+x)(10-x)/(10-x)-1(10-x)(10+x)=24(10-x)/(10+x)/(10+x) clear fractions


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240+24x-100-10x+10x+x^2=240-24x subtract 240 from and add 24x to both sides

240-240+24x+24x-100+x^2=240-240-24x+24x collect like terms

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This equation can be factored:

(x+50)(x-2)=0

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and

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CK

10-x=10-2= 8 mph -----------------------speed upstream

10+x=10+2=12 mph--------------------------speed downstream

time upstream=24/8=3 hours

time downstream=24/12=2 hours

so 3-2=1----takes 1 hour longer upstream

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