The answer is 12>x>-7
Step-by-step explanation:
it's first divided into 2 parts
1 . 15 > 2x - 9
2. 2x - 9 > -23
Then solve them individually.
let's do it,
<u>First half</u>
15 > 2x - 9
15+9 > 2x
24 > 2x
24/2 > x
12>x
<u>Second half</u>
2x-9>-23
2x>-23+9
2x>-14
x>-14/2
x>-7
<u>Joining of the two halves</u>
We have :
12>x>-7
Answer:
6
/19
≅ 0.3157895
Step-by-step explanation:
Answer:
32400
Step-by-step explanation:
im not sure i just timed it by 2
Hi there!


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.