Step-by-step explanation:
u know u can download math go and u just take a picture and it will give u the answer
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.
50% because you first subtract the original price from the new price so 126-84 equals 42 then you divide that by the original price 84 which will give you .5 which turns to 50%
Answer:x≥17
Step-by-step explanation:
Let's solve your inequality step-by-step.
4(x−3)≥56
Step 1: Simplify both sides of the inequality.
4x−12≥56
Step 2: Add 12 to both sides.
4x−12+12≥56+12
4x≥68
Step 3: Divide both sides by 4.
4x4≥6
8
4
x≥17
Answer:
you just have to check the first and the third box
Step-by-step explanation:
put each into slop intercept form
y+6=-5(x-2) is the same as y=-5x+4
y-2=-5(x+6) is the same as y=-5x-28
y=-5x+4
y=-5x-28
all of them have a slope of -5, but you need to plug in (2,-6) to see which on is true
