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alina1380 [7]
3 years ago
9

Steffen graphed two lines in order to find the solution to a given system of equations. What is the solution?

Mathematics
2 answers:
Marysya12 [62]3 years ago
8 0

I know you are but what im i

Step-by-step explanation:

Pavlova-9 [17]3 years ago
7 0

check the picture below.

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If xy + y² = 6, then the value of dy/dx at x= -1 is<br>​
mylen [45]

Hi there!

\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}

\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

5 0
3 years ago
What is 66.5 divided by 3.5
Karolina [17]
66.5 divided by 3.5 is 19.
5 0
3 years ago
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ok ok ok i didnt mean to do that other question but if u can answer this correctly ill paypal u a dollar
mash [69]
A dollar ????????????
4 0
3 years ago
Read 2 more answers
What is this answer?
Rainbow [258]

Answer:

None of the above

Step-by-step explanation:

3^3=81

-3^3=-81

6^3=216

-6^3=-216

5^3=125

7 0
3 years ago
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Natalie buys a basketball for $25.57 and an air pump for $15.61. How much change will she receive if she pays for both items wit
DaniilM [7]

Answer:

8.82

Step-by-step explanation:

Add the basketball and airpump together and subtract from 50

3 0
2 years ago
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