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Brut [27]
3 years ago
11

Ryan bought 6 apples and 9 peaches for a total of $7.86. Maya bought 4 apples and 5 peaches for $4.82. How much are apples and p

eaches?
Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0
Apples are $0.68 and peaches are $0.42.

To find these values, we need to write and solve the following system of equations.

6x + 9y = 7.86
4x + 5y = 4.82

Multiply the first equation by 2 and the second by -3.

12x + 18y = 15.72
-12x - 15y = 14.46

Add the equations together.
3y = 1.26
y = 0.42

Sub in 0.72 and solve for x in either equation and you will get x = 0.68.

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Using the chain rule:

\begin{aligned}\implies \dfrac{dy}{dx} & =\dfrac{dy}{dt} \times \dfrac{dt}{dx}\\\\& = a \cos t \times \dfrac{1}{-a \sin t}\\\\& = \dfrac{a \cos t}{-a \sin t}\\\\& = - \dfrac{\cos t}{\sin t}\\\\& = - \cot t\end{aligned}

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Subtract the following rational expressions
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Answer:

Answer is option d) <em>y</em><em>+</em><em>1</em><em> </em><em>=</em><em> </em><em>3</em><em>(</em><em>x-3</em><em>)</em>

Step-by-step explanation:

given \: that \: the \: equation \: is \: parallel \: to \\ y = 3x - 3 \\ 3x - y - 3 = 0 \\  the \: equation \: parallel \: to \: 3x - y - 3 = 0 \:  \: is \\ 3x - y + k = 0 \\ since \: it \: passes \: through \: (1, - 1) \\ 3(1) - ( - 1) + k = 0 \\ 3 + 1 + k \:  = 0 \\ k + 4 = 0 \\  k=  - 4 \\ the \: equation \: parallel \: to \: 3x - y - 3 = 0 \:   \\ \: is \:  \: 3x - y - 4 = 0 \\ it \: can \: also \: be \: written \: as \: y + 1 = 3(x - 3) \\ hence \: the \: answer \: is \: option \: d

<em>HAVE A NICE DAY</em><em> </em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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