x − 3 = 6 − 2 x = − 8 √ x = 3
9514 1404 393
Answer:
Step-by-step explanation:
The square of a binomial is ...
(x +a)² = x² +2ax + a²
Comparing this to your expression, we have ...
2a = 20 . . . . x-coefficient
a² = c . . . . . . constant term
Then ...
a = 20/2 = 10
a² = 10² = 100 = c
The square is then ...
(x +10)²
Hello!
Let's write this as an equation below.
3x+4=16
We subtract 4 from both sides.
3x=12
Divide both sides by 3
x=4
I hope this helps!
Answer:
a) dy/dx = 4/(2y+1)^2.
(b) y = 4/9 x - 14/9
(c) d2y/dx2 = -64/243
Step-by-step explanation:
You have the following equation
(1)
(a) You first derivative implicitly the equation (1) respect to x:
next, you solve the last result for dy/dx:
(2)
(b) The equation for the tangent line is given by:
(3)
with yo = -2 and xo = -1
To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:
m =
Hence, by replacing in the equation (3) you obtain:
hence, the equation for the tangent line is y = 4/9 x - 14/9
(c) To find d2y/dx2 you derivative the result obtain in the equation (2):
(4)
the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):
hence, d2y/dx2 evaluated in (-1,-2) is -64/243
Step-by-step explanation:
Answer:
8 percent loss
Step-by-step explanation:
