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Leto [7]
3 years ago
14

3х + Зу = 8 2х - у = 5 what is the solution?????

Mathematics
1 answer:
patriot [66]3 years ago
8 0

Answer:

x = 23/9

y = 1/9

Step-by-step explanation:

2x - y + y - 5 = 5 + y - 5

2x - 5 = y

3x + 3(2x - 5) = 8

3x + 6x - 15 = 8

9x/9 = 23/9

x = 23/9

2x - 5 = y

2(23/9) - 5 = y

46/9 - 5 = y

1/9 = y

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Answer:

hope it helps you.............!

7 0
2 years ago
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
2 years ago
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vovikov84 [41]
Well the ratio would be 8:24, or in reduced form, 1:3. you would solve it by taking sale of strawberry yogurt for the first half of the ratio, and then adding up all of the values to get the total.
5 0
2 years ago
If $400 is invested at the rate of 6% for one year, what will be the total value of the investment (the amount)? $42.40 $424.00
ValentinkaMS [17]
The total value would be the amount he put in plus the amount he earns in interest. The answer should be 424
8 0
3 years ago
Read 2 more answers
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