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3 years ago

What is the point of discontinuity of x-2/x-4

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

3 0

Answer:

Step-by-step explanation:

we can t divide by 0

and x-4=0 <=> x = 4

so the point of discontinuity is 4

hope this helps

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May someone help me with this question please anyone please

djverab [1.8K]

$5;\ 5;\ 5;\ 5;\ 7;\ 9\\\\\overline{x}=\dfrac{5+5+5+5+7+9}{6}=\dfrac{36}{6}=6\\\\\delta^2=\dfrac{(x_1-\overline{x})^2+(x_2-\overline{x})^2+(x_3-\overline{x})^2+...+(x_n-\overline{x})^2}{n}\\\\\delta^2=\dfrac{(5-6)^2+(5-6)^2+(5-6)^2+(5-6)^2+}{6}$
$\dfrac{+(7-6)^2+(9-6)^2}{6}\\\\\delta^2=\dfrac{(-1)^2+(-1)^2+(-1)^2+(-1)^2+1^2+3^2}{6}=\dfrac{14}{6}=\dfrac{7}{3}$

$standard\ deviation:\\\\\sqrt{\delta^2}=\sqrt{\dfrac{7}{3}}=\dfrac{\sqrt7}{\sqrt3}=\dfrac{\sqrt7\cdot\sqrt3}{\sqrt3\cdot\sqrt3}=\boxed{\dfrac{\sqrt{21}}{3}}\approx\boxed{1.53}$

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4 years ago

Which value represents the first two terms of the sequence a1=2 and an=-3(an-1)^2?

satela [25.4K]

I'm not really sure what you're asking, but if you want to calculate the first two terms of the sequence after a1, then here's the answer:
If a1=2, then a2 = -3(a1 - 1)^2 = -3(2-1)^2 = -3*(-1)^2 = -3*1 = -3.
Then, a3 = -3(a2 - 1)^2 = -3(-3-1)^2 = -3(-4)^2 = -3*16 = -48.
I'm sorry if this is not what you wanted.

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3 years ago

Morton made 36 out of 48 free throws last season. What percent of his free throws did Morton make. Help!!! T-T

blondinia [14]

75 % free throws are made by Morton

<em><u>Solution:</u></em>

Given that Morton made 36 out of 48 free throws last season

To find: Percent of free throws made by Morton

From given statement,

total number of throws = 48

throws made by morton = 36

<em><u>Thus the percent of free throws made by Morton is given as:</u></em>

$percent = \frac{\text{number of throws made}}{\text{total number of throws}} \times 100$

Substituting the values, we get

$percent = \frac{36}{48} \times 100\\\\percent = 0.75 \times 100 = 75 %$

Thus 75 % of his free throws are made by Morton

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3 years ago

Which calculator correctly shows the quotient of 6.47x10^-15/3.36x10^-29

Alex73 [517]

<h2>Answer:</h2>

$\boxed{1.92559524e+14}$

<h2>Step-by-step explanation:</h2>

Scientific notation is a special way we choose for writing numbers. So the numers $6.47\times 10^{-15} \ and \ 3.36\times 10^{-29}$ are written in scientific notation. In this way, we have a quotient of two numbers written in scientific notation. To solve this problem, we have:

$\frac{6.47}{3.36}\times 10^{[-15-(-29)]}=1.92559524\times 10^{(-15+29)} \\ \\ \therefore 1.92559524\times 10^{14} \ or \ \boxed{1.92559524e+14}$

The division has been performed using the rules for operation with exponentiation.

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3 years ago

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If RST equals NPQ, which of the following are true?

amid [387]

I think the answer is T equals Q

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3 years ago