Answer:
6x-6
Step-by-step explanation:
The Distributive property says that a(b+c) = ab+ac
In my example you distribute the value on the outside to the things on the inside
In your problem you have a two on the outside that needs to be distributed to a 3x and a -3
1) 2 multiplied by 3x equals 6x giving you the first part of your answer!
2) 2 multiplied by -3 equals -6 giving you the second part of your answer!
Don't forget that there is a - sign between the 3x and 3, don't drop it!
Put the two values together to get 6x-6
Let me know if you have any further questions :)
Answer:
77.76 times
Step-by-step explanation:
The average distance of Neptune from the sun
= 4.503 × 10
⁹ k
m
.
and Mercury = 5.791 × 10
⁷ k
m
.
Hence neptune is ( 4.503 × 10
⁹) ÷ (5.791
×
10
⁷ ) times farther from the sun than mercury
i.e.( ) × 10⁹⁻⁷ times
=
0.7776 × 10
² times
=
77.76 times.
Answer:
x + 10 = 4x
Step-by-step explanation:
Let x = her age 10 years ago.
Her age now is x + 10.
x + 10 = 4x
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.
Answer:
7.25
Step-by-step explanation: