Help Me, Will give 100 points.

(0, 1) , (4, 2) equation in slope intercept form

mihalych1998 [28]

Answer:

2=1/4(4+b)

Step-by-step explanation:

(0,1), (4,2)

first, find the slope

slope formula- (y2-y1)/(x2-x1)

plug in the coordinates

(2-1)/(4-0)

subtract

1/4

slope=1/4

slope intercept form- y=mx+b

choose one of the coordinates to plug in

(4,2)

plug it in

2=1/4(4+b)

4 0

3 years ago

uppose that we have a function with a constant amount of work done in initialization, a call to a log-linearsorting algorithm, a

White raven [17]

Answer:

The running time is quadratic (O(n²) )

Step-by-step explanation:

For the set up, we have a constant running time of C. The, a log-linearsorting is called, thus, its execution time, denoted by T(n), is O(n*log(n)). Then, we call n times a linear iteration, with a running time of an+b, for certain constants a and b, thus, the running time of the algorithm is

C + T(n) + n*(a*n+b) = an²+bn + T + C

Since T(n) is O(n*log(n)) and n² is asymptotically bigger than n*log(n), then the running time of the algorith is quadratic, therefore, it is O(n²).

7 0

3 years ago

Which expression is equal to 6^4? 10 24 4^6 6⋅6⋅6⋅6

Naddika [18.5K]

Answer:

6⋅6⋅6⋅6

Explanation: The exponent refers to the number of times a number is multiplied by itself. 6^4 represents that 6 is being multiplied 4 times.

$6^{4}$

Base ⇒ 6

Exponent ⇒ 4

4 0

3 years ago

Question 8 (4 points)

-Dominant- [34]

Answer:

(x − 10)(x + 2)

Step-by-step explanation:

i just took the test and thats the right answer:)

6 0

3 years ago

If 2 is added to the numerator of a

Gekata [30.6K]

❍ Let's say, that the numerator of the fraction be x and denominator of the fraction be y.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀

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$\underline{\sf{Case\;}\it{1}:}$

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If 2 is added to the numerator of the fraction, it reduces to 1/2.

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Therefore,

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$\begin{gathered}:\implies\sf{\dfrac{x+2}{y}=\dfrac{1}{2}}\\\\\\:\implies\sf{2x+4=y}\\\\\\:\implies\sf{2x=y-4}\qquad\qquad\bigg\lgroup\sf{eq^n\;1}\bigg\rgroup\end{gathered}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\underline{\sf{Case\;}\it{2}:}$

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If 1 is subtracted from the denominator of the fraction, it reduces to 1/3.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore,

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$\begin{gathered}:\implies\sf{\dfrac{x}{y-1}=\dfrac{1}{3}}\\\\\\:\implies\sf{3x=y-1}\qquad\qquad\bigg\lgroup\sf{eq^n\;2}\bigg\rgroup\end{gathered}$

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$\qquad\qquad\footnotesize{\underline{\bf{\dag\;}\frak{Subtracting\;eq^n\;2\;from\;eq^n\;1:}}}$

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$\begin{gathered}:\implies\sf{3x-2x=y-1-y-4}\\\\\\:\implies\underline{\boxed{\pink{\frak{\pmb{x=3}}}}}\;\bigstar\end{gathered}$

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$\qquad\qquad\footnotesize{\underline{\bf{\dag\;}\frak{Substituting\;value\;of\;x\;in\;eq^n\;1:}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\begin{gathered}:\implies\sf{2x=y-4}\\\\\\:\implies\sf{2(3)=y-4}\\\\\\:\implies\sf{6=y-4}\\\\\\:\implies\sf{6=y-4}\\\\\\:\implies\sf{y=-4-6}\\\\\\:\implies\underline{\boxed{\purple{\frak{\pmb{y=10}}}}}\;\bigstar\end{gathered}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hence,

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Numerator = x = 3
Denominator = y = 10

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$\therefore\;{\underline{\sf{Hence,\;the\;fraction\;is\;\frak{\dfrac{3}{10}}}.}}$ ⠀⠀

7 0

3 years ago