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Nikolay [14]
3 years ago
6

to make punch Julia part 1 quart 3 cups of ginger ale into a bowl and then added twice as much fruit juice how much punch did sh

e make in all?
Mathematics
1 answer:
FrozenT [24]3 years ago
6 0
First, find the amount of fruit juice, which is 2 quarts, 6 cups
Add together, and you get 3 quarts 9 cups, or 3 quarts 4 pints 1 cup, or 5 quarts, 1 cup, or 1 gallon 1 cup

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Find the solution(s) for x in the equation below.
Maru [420]

The answer is C.) x = 7; x = -6

6 0
3 years ago
Read 2 more answers
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
FREE BRAINLY TO THE CORRECT ANSWER!!
Lyrx [107]

Answer: -3

Step-by-step explanation:

y = mx + b (slope intercept formula)

9x - 3y = -54

-3y = 9x - 54

Divide all by -3

y = -3x + 18

Slope = -3

Hope this helps!

8 0
3 years ago
The graph shows the 2005 median income of some year-round workers and the number of years of school. Estimate the median income
xxTIMURxx [149]

Answer:20??

Step-by-step explanation:

4 0
3 years ago
Solve |4| + |11 - 6| - |-2|
Pie

Answer:

...........the answer is 7?!

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3 years ago
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