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Mandarinka [93]
4 years ago
12

How do i find the intervals on which a function is continuous?

Mathematics
1 answer:
VikaD [51]4 years ago
8 0
Just remember: If a function is continuous at every value in an interval, then we say that the function is continuous in that interval.  And if a function is continuous in any interval, then it is a continuous function. Thus, as long as there is no break in a graph or a line the function is continuous.
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Find the equation of a circle centered on the origin going through the point (-5,3)
11111nata11111 [884]

The given center and point on the circle of (0,0) and (-5, 3), respectively

gives the equation of the circle as x^{2} +y^{2} =\sqrt{34}.

The general form of the equation of the circle is presented as follows

(x - h)² + (y - k)² = r²

Where,(h, k) is the center of the circle and r is the radius of the circle

Here (h, k) is centered about the origin and the radius of the circle

Radius of the circle = √[(-5-0)² + (3-0)²]

= √(25+9)

=√34.

The equation of a circle centered on the origin going through the point (-5,3)

x^{2} +y^{2} =\sqrt{34}

Learn more about the equation of a circle brainly.com/question/502872

#SPJ4

6 0
2 years ago
A PlayStation 5 cost $789.99. Sales tax is 8%. How much will you pay in sales tax?
Sonja [21]

Answer:

63.20

Step-by-step explanation:

Because you do 8% of 789.99 which equals 63.20

4 0
3 years ago
Read 2 more answers
what will be the total paid on an amortized loan of $15,000 for 5 years at 2 3/4% compounded monthly?
Alex73 [517]

the loan is being amortized, so that doesn't matter for its future value, the simple case that the borrower is paying it in bits monthly.

so, we're really just looking for the future value of the Principal $15000, let's convert theat mixed fraction to improper fraction, and then to a percent format firstly.


\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}}\implies \stackrel{decimal}{2.75} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt}


\bf \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$15000\\ r=rate\to 2.75\%\to \frac{2.75}{100}\dotfill &0.0275\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &5 \end{cases} \\\\\\ A=15000\left(1+\frac{0.0275}{12}\right)^{12\cdot 5}\implies A=15000\left( \frac{4811}{4800} \right)^{60}\implies A\approx 17208.318305


how did we get 4811/4800?   well, is really just the 1+(0.0275/12), which gives us about 1.0022917 but is a repeating decimal, so 4811/4800 is just the fraction version of it.

5 0
3 years ago
50% to 36.75 what is the original price
svetoff [14.1K]

Answer: 73.50

Step-by-step explanation:

I am assuming that the new price is 36.75

50% is 1/2

36.75·2=original price

original price=73.50

8 0
3 years ago
Solve for the value of r help pls
Vera_Pavlovna [14]

Answer:

r=20

Step-by-step explanation:

since the angle and sum of a straight line is equal to 180, you structure an equation:

180=105+(4r-5)

solve for r

180=100+4r

80=4r

20=r

check answer

4r-5     4(20)-5

80-5

75+105=180

3 0
3 years ago
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