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pashok25 [27]
2 years ago
7

Find k so that the following function is continuous: f(x)={kx8x2if0≤x<5if5≤x.

Mathematics
1 answer:
tankabanditka [31]2 years ago
3 0

Check the one-sided limits:

\displaystyle \lim_{x\to5^-}f(x) = \lim_{x\to5}kx = 5k

\displaystyle \lim_{x\to5^+}f(x) = \lim_{x\to5}8x^2 = 200

If <em>f(x)</em> is to be continuous at <em>x</em> = 5, then these two limits should have the same value, which means

5<em>k</em> = 200

<em>k</em> = 200/5

<em>k</em> = 40

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2 years ago
Which of the following equations is equivalent to
andrew-mc [135]

Answer:

B. y=3x+12

Step-by-step explanation:

Hi there!

We want to find out which equation is equivalent to -6x+2y=24

The equation is currently written in standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b CANNOT equal zero

We can change the equation into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, as all of the answer options are in slope-intercept form.

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__________________

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5 0
2 years ago
X+2=12<br><br> Please take my points
Pavel [41]
X + 2 = 12
subtract both sides by 2
x = 10
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3 years ago
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