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Ahat [919]
3 years ago
5

Gina bought 2.3 pounds of red apples and 2.42 pounds of green apples.there were on sale for 0.75 a pound.how much did the apples

cost altogether
Mathematics
2 answers:
shutvik [7]3 years ago
3 0
2.3 + 2.42 =  4.72lbs     
4.72 x .75 =  $3.54
padilas [110]3 years ago
3 0

Answer:  The required cost of the apples altogether is $3.54.

Step-by-step explanation:  Given that Gina bought 2.3 pounds of red apples and 2.42 pounds of green apples.there were on sale for 0.75 a pound.

We are to find the cost of the apples altogether.

Total quantity of apples bought by Gina is

Q = (2.3 + 2.42) pounds = 4.72 pounds.

The cost of 1 pound of apple = $ 0.75.

Therefore, the cost of 4.72 pounds of apple is given by

$ (4.72 × 0.75) = $ 3.54.

Thus, the required cost of the apples altogether is $3.54.

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If f(x)=2x+sinx and the function g is the inverse of f then g'(2)=
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\textit{so, we can write it as }x=2g(x)+sin[g(x)]\\\\
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\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}
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1=\cfrac{dg(x)}{dx}[2+cos[g(x)]]\implies \cfrac{1}{[2+cos[g(x)]]}=\cfrac{dg(x)}{dx}=g'(x)\\\\
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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

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thus    2 = 2x+sin(x)

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

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5 0
3 years ago
Apples sell for $1.90 per pound, and bananas sell for $0.75 per pound. Troy bought some apples and some bananas. Together they w
matrenka [14]

Answer:

1.15p + 285 = 5.84

Step-by-step explanation:

This problem has two equations. Total cost and Total pounds. The cost and the pounds

p = apple pounds

b = banana pounds

<u>Cost</u>

1.90p + .75b =  5.84

<u>Pounds</u>

p + b = 3.8

<u>Now we use the substitute method for system of equations to solve</u>

p + b = 3.8

b = -p + 3.8

<u>Now that we know what b equals, substitute is for b in the cost equation.</u>

1.90p + .75b =  5.84

1.90p + .75(-p+3.8) =  5.84

<u>distribute / multiply  .75 by (-p+3.8)</u>

1.90p +  -.75p + 2.85 =  5.84

<u>Combine the p values</u>

1.15p + 285 = 5.84

4 0
3 years ago
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