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Georgia [21]
3 years ago
13

For what interval is the function f(x) = x^2 increasing? Is it [0,infinity) or (0, infinity)?

Mathematics
1 answer:
irakobra [83]3 years ago
3 0

It's the open interval. The function increases over any interval on which its derivative is positive. We have

f(x)=x^2\implies f'(x)=2x

and f'(x)>0 for x>0. So f(x) is increasing on x>0, or (0,\infty).

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Write an equation in slope intercept form for the line that passes through (5, -8) and (11, 10)
Bess [88]

\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{-8})\qquad
(\stackrel{x_2}{11}~,~\stackrel{y_2}{10})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-(-8)}{11-5}\implies \cfrac{10+8}{11-5}\implies \cfrac{18}{16}\implies \cfrac{9}{8}


\bf \begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-(-8)=\cfrac{9}{8}(x-5)\implies y+8=\cfrac{9}{8}(x-5)
\\\\\\
y+8=\cfrac{9}{8}x-\cfrac{45}{8}\implies y=\cfrac{9}{8}x-\cfrac{45}{8}-8\implies y=\cfrac{9}{8}x-\cfrac{109}{8}

7 0
4 years ago
Help! Will give brainliest :D
miss Akunina [59]
Answer is:
Obtuse and isosceles
3 0
3 years ago
The slope of a ramp from the sidewalk to the street has to be 1/20. The height of a ramp is 2.5 inches. What is the horizontal l
xxTIMURxx [149]
The ratio is 1:20 so if you need to go up 2.5 inches you need to travel 2.5x20 inches horizontally.
2.5x20=50 inches. 
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Please help me thank you
notsponge [240]
Answer: a=60, b= 50, c= 180-148=32, d=64, e=d=64, g=180-125=55 and since f=g then f=55, h= 76, I=h=76, j= 180-76= 104

Sorry I cannot explain why they are true because I only learn them in my language so I can’t explain them clearly in English but there is the answer
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4 years ago
WhatNumber is 40 of 90%
Zarrin [17]

Answer:

36%.

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
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