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AveGali [126]
3 years ago
12

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer: C {48,65,80}

Step-by-step explanation:

In order for it to be a right triangle it would have to be {48,64,85}

Hope this helps

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If f(x)=2x+sinx and the function g is the inverse of f then g'(2)=
Alexxx [7]
\bf f(x)=y=2x+sin(x)
\\\\\\
inverse\implies x=2y+sin(y)\leftarrow f^{-1}(x)\leftarrow g(x)
\\\\\\
\textit{now, the "y" in the inverse, is really just g(x)}
\\\\\\
\textit{so, we can write it as }x=2g(x)+sin[g(x)]\\\\
-----------------------------\\\\

\bf \textit{let's use implicit differentiation}\\\\
1=2\cfrac{dg(x)}{dx}+cos[g(x)]\cdot \cfrac{dg(x)}{dx}\impliedby \textit{common factor}
\\\\\\
1=\cfrac{dg(x)}{dx}[2+cos[g(x)]]\implies \cfrac{1}{[2+cos[g(x)]]}=\cfrac{dg(x)}{dx}=g'(x)\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}

now, if we just knew what g(2)  is, we'd be golden, however, we dunno

BUT, recall, g(x) is the inverse of f(x), meaning, all domain for f(x) is really the range of g(x) and, the range for f(x), is the domain for g(x)

for inverse expressions, the domain and range is the same as the original, just switched over

so, g(2) = some range value
that  means if we use that value in f(x),   f( some range value) = 2

so... in short, instead of getting the range from g(2), let's get the domain of f(x) IF the range is 2

thus    2 = 2x+sin(x)

\bf 2=2x+sin(x)\implies 0=2x+sin(x)-2
\\\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}\implies g'(2)=\cfrac{1}{2+cos[2x+sin(x)-2]}

hmmm I was looking for some constant value... but hmm, not sure there is one, so I think that'd be it
5 0
3 years ago
Please please someone help
natka813 [3]

The answer is the first one:

bc its not growing by a (-)1/2  and the 3rd one just doesnt make sense

7 0
3 years ago
Read 2 more answers
Factor the following expression completely: 3x^2+9x+6
ArbitrLikvidat [17]

Answer:

The answer is 3(+1)(+2)

7 0
3 years ago
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PLEASE HELP ME OUT WITH THIS QUESTION ASAP. 10 POINTS AND MARKING BRAINLIEST!
Gnesinka [82]

b=14

hope that helps.

8 0
4 years ago
Read 2 more answers
A spinner has 10 10 ​equal-sized sections. Six Six of the sections are purple purple. a. What is the probability that the spinne
borishaifa [10]

Answer:

P(Spinner lands on purple section) = 0.6 = 60%

Step-by-step explanation:

We are given the following in the question:

Number of sections = 10

Number of purple sections = 6

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

a) probability that the spinner will land on purple purple

P(purple) =

=\dfrac{6}{10} = 0.6

0.6 is the probability that the spinner will land on purple purple.

b) Interpretation of probability

0.6\times 100\% = 60\%

There is a 60% chance that the spinner will land on purple color.

7 0
3 years ago
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