-2y-4=4(y-1)

Always remove the pararentheses as your first step.

-2y-4 = 4y - 4

Combine like terms.

-2y - 4y = 4 - 4

-6y = 0

Divide both sides by -6 to find y.

-6y/-6 = 0/-6

y = 0

Done

6 0

2 years ago

Read 2 more answers

Find the limit of the sequence described by the general expression 5n+ (-1) n /n^2

elena-s [515]

Answer:

b. 0

Step-by-step explanation:

The expression can be rewritten as:

$A_{n} = \frac{5\cdot n}{n^{2}} + \frac{(-1)^{n}}{n^{2}}$

As n becomes greater and begins diverging to infinity, each component of the sum converges to zero. Then, the limit of the sequence is zero.

5 0

2 years ago

Two points are located on a rigid wheel that is rotating with an increasing angular velocity about a fixed axis. The axis is per

exis [7]

Answer:

Same angular velocity

Same angular acceleration

Point 1 has greater tangential speed

Point 1 has greater tangential acceleration

Point 1 has greater centripetal acceleration

Step-by-step explanation:

Since both points are located on the rigid wheel, their angular velocity and acceleration must be the same for all point located on the wheel.

The tangential quantities, however, would depend on how far they are from the axis of rotation:

$v = \omega R$

$a_T = \alpha R$

$a_c = \omega^2 R$

where $\omega, \alpha$ are the angular velocity and acceleration, respectively, which is the same for 2 points. R is the radius of rotation. In this case point 1 has a larger radius since it lies on the rim and point 2 is only half way between.

Therefore, tangential speed, acceleration and centripetal acceleration of point 1 is larger than point 2.

5 0

3 years ago