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Tomtit [17]
3 years ago
12

Substitution method- y=-x+4 and y=3x

Mathematics
1 answer:
kumpel [21]3 years ago
5 0
Substitue y=3x into the other equation to get 3x=-x+4. Solve this to get 4x=4 therefore x=1.
knowing this, y=3
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Find the Derivative y’ implicitly.
Brums [2.3K]

e^{x^2y} - e^y = e^y(e^{x^2} - 1) = x

<em>We should ISOLATE x</em>

<em />e^y= \frac{x}{e^{x^2} - 1}

<em>Find the Natural Log of Both Sides to Make the Left Side "y"</em>

<em />y = ln(\frac{x}{e^{x^2}-1})

<em>Now, FIND THE DERIVATIVE Using Chain Rule!!!</em>

<em />y' = \frac{1}{\frac{x}{e^{x^2}-1}} * \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2}= {\frac{e^{x^2}-1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2} = {\frac{1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)} =  {\frac{1}{x}}* \frac{(e^{x^2}-1 - 2x^2e^{x^2})}{(e^{x^2}-1)}

3 0
3 years ago
Mrs. Aries hired Jack a math tutor to help her son. Because of budget she can pay him no more than $420 a month. If Jack charges
klasskru [66]

Answer:

12 hours a month

Step-by-step explanation:

No.of hours the teacher can tutor a month = 420/ 35

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= 12 hours

4 0
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inessss [21]
Y= 26 & x=35 hope I did it on time!
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Answer:

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Step-by-step explanation:

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(b) Cost of covering the box = $0.40 * 552 feet

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Answer:

D. Vast Universe.

Step-by-step explanation:

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