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Brilliant_brown [7]
3 years ago
5

What is the reciprocal of 2/17

Mathematics
2 answers:
BaLLatris [955]3 years ago
4 0
The reciprocal is 17/2 cause all you do is just flip the fraction
marta [7]3 years ago
4 0
It’s just the fraction flipped: 17/2.

**Please mark this answer as Brainliest and leave a Thanks if I helped :)
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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
I can't figure this out. ​
Leviafan [203]

Answer:

$ 9.5

Step-by-step explanation:

total money is $20

on lunch = 1/8 × 20 = 5/2 = $2.5

on movies = 2/5 × 20 = $8

total spent = 2.5+8 =$ 10.5

left money = 20-10.5 = $ 9.5

7 0
3 years ago
An art teacher gives a total of 25 pounds of clay to her students. She gives each of her 12 students the same amount of clay. Ho
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5 0
2 years ago
Read 2 more answers
X^ 3 +x^ 2 +4x/x^ 2 +x-2<br>into partial<br>fractions​
lawyer [7]

Answer:

x + (4/ x-2) + (2/ x-1)

Step-by-step explanation:

x + (6x/ x^2 + 2x - x -2)

x + (6x/ (x + 2) X (x - 1))

(6x/ (x + 2) X (x - 1))

(A/ x+2) + (B/ x-1)

(6x/ (x + 2) X (x - 1)) = (A/ x+2) + (B/ x-1)

6x = Ax + Bx - A + 2B

6x = (A+B)x + (-A+2b)

{0 = -A+2B

{6 = A+B

(A,B) = (4, 2)

(4/ x+2) + (2/ x-1)

x + (4/ x-2) + (2/ x-1)

6 0
3 years ago
Simplify: 8x + 3 +6x-5
Sphinxa [80]

Answer:

14x +2

Step-by-step explanation:

(8x + 6x) +3 -5 = (14x) +3-5

14x (+ 3-5) = 14x (+ 2)

6 0
3 years ago
Read 2 more answers
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