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3 years ago

−4(3d−2)−7 What equation is equivalent? A) -12d-15 B) 12d-15 C) None of the Above

Mathematics

2 answers:

horrorfan [7]3 years ago

8 0

Answer:

Step-by-step explanation:

Khan

Hope this helps

Never30

Marat540 [252]3 years ago

3 0

C) None of the Above
-4(3d-2)-7 = -12d+1

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If xy + y² = 6, then the value of dy/dx at x= -1 is

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.

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3 years ago

Ms. Velez will use both x gray bricks and y red bricks to build a wall around her garden. Gray bricks cost $0.45 each and red br

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Let

x--------> the number of gray bricks

y--------> the number of red bricks

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therefore

the answer is

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y=5x+b

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