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Soloha48 [4]
3 years ago
10

Please help and show steps

Mathematics
1 answer:
Sonja [21]3 years ago
4 0

Answer:

i think it is c sorry if wrong

Step-by-step explanation:

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Find the Value of k that will make the function f(x) continuous everywhere.​
cricket20 [7]

well, if that function f(x) were to be continuos on all subfunctions, that means that whatever value 7x + k has when x = 2, meets or matches the value that kx² - 6 has when x = 2 as well, so then 7x + k = kx² - 6 when f(2)

f(x)= \begin{cases} 7x+k,&x\leqslant 2\\ kx^2-6&x > 2 \end{cases}\qquad \qquad f(2)= \begin{cases} 7(2)+k,&x\leqslant 2\\ k(2)^2-6&x > 2 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 7(2)+k~~ = ~~k(2)^2-6\implies 14+k~~ = ~~4k-6 \\\\\\ 14~~ = ~~3k-6\implies 20~~ = ~~3k\implies \cfrac{20}{3}=k

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1 year ago
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3^5

Step-by-step explanation:

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2 years ago
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Radium 226, which had been used for cancer treatment, decays with a half-life of 1622 years. suppose there is a 6 gram sample of
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To go from 6 to 3 grams, 1622 years is required.
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To see more about half-life click here:
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Step-by-step explanation:

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