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Anton [14]
3 years ago
8

What equation has the value as -10-(-7)

Mathematics
1 answer:
LiRa [457]3 years ago
4 0
X=-3

-10 minus -7 = x
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-x = -7 what doesthe equal and how do you do it ​
vampirchik [111]
X=7
But to show your work you would put
-1x=7
Then divide -1x by -1 and 7 by -1 to cancel it out, and you get x=8
6 0
3 years ago
Can you define f(0, 0) = c for some c that extends f(x, y) to be continuous at (0, 0)? If so, for what value of c? If not, expla
Ahat [919]

(i) Yes. Simplify f(x,y).

\displaystyle \frac{x^2 - x^2y^2 + y^2}{x^2 + y^2} = 1 - \frac{x^2y^2}{x^2 + y^2}

Now compute the limit by converting to polar coordinates.

\displaystyle \lim_{(x,y)\to(0,0)} \frac{x^2y^2}{x^2+y^2} = \lim_{r\to0} \frac{r^4 \cos^2(\theta) \sin^2(\theta)}{r^2} = 0

This tells us

\displaystyle \lim_{(x,y)\to(0,0)} f(x,y) = 1

so we can define f(0,0)=1 to make the function continuous at the origin.

Alternatively, we have

\dfrac{x^2y^2}{x^2+y^2} \le \dfrac{x^4 + 2x^2y^2 + y^4}{x^2 + y^2} = \dfrac{(x^2+y^2)^2}{x^2+y^2} = x^2 + y^2

and

\dfrac{x^2y^2}{x^2+y^2} \ge 0 \ge -x^2 - y^2

Now,

\displaystyle \lim_{(x,y)\to(0,0)} -(x^2+y^2) = 0

\displaystyle \lim_{(x,y)\to(0,0)} (x^2+y^2) = 0

so by the squeeze theorem,

\displaystyle 0 \le \lim_{(x,y)\to(0,0)} \frac{x^2y^2}{x^2+y^2} \le 0 \implies \lim_{(x,y)\to(0,0)} \frac{x^2y^2}{x^2+y^2} = 0

and f(x,y) approaches 1 as we approach the origin.

(ii) No. Expand the fraction.

\displaystyle \frac{x^2 + y^3}{xy} = \frac xy + \frac{y^2}x

f(0,y) and f(x,0) are undefined, so there is no way to make f(x,y) continuous at (0, 0).

(iii) No. Similarly,

\dfrac{x^2 + y}y = \dfrac{x^2}y + 1

is undefined when y=0.

5 0
1 year ago
If SP is equal to rupees 400 and loss percent is 20% find CP​
Sindrei [870]
  • SP=400
  • Percentage of loss=20%

100-20=80%=400

\\ \rm\longmapsto 80\%\:of\:CP=400

\\ \rm\longmapsto CP=400\times \dfrac{100}{80}

\\ \rm\longmapsto CP=5(100)

\\ \rm\longmapsto CP=500

6 0
2 years ago
Read 2 more answers
Mikey bought 4 of the 500 raffle tickets sold to
Zina [86]

Answer:

4/500

Step-by-step explanation:

6 0
3 years ago
Standard form <br> 0.000085
Tasya [4]

Answer -

i think its 8.5*10^{-5}

6 0
3 years ago
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