Solve for d. 4d-4= 5d -8

d=4

Step-by-step explanation:

We are given the equation:

4d-4=5d-8

and asked to solve for d. In order to solve for d, we must isolate it on one side of the equation.

First, subtract 4d from both sides of the equation.

(4d-4d)-4=(5d-4d)-8

-4= (5d-4d)-8

-4= d-8

Next, add 8 to both sides of the equation.

(-4+8)=d-8+8

(-4+8)= d

4=d

Let's check our solution. Plug 4 in for d and solve.

4d-4=5d-8 (d=4)

4(4)-4=5(4)-8

Multiply 4 and 4.

16-4=5(4)-8

Subtract 4 from 16.

12= 5(4)-8

Multiply 5 and 4.

12= 20-8

Subtract 8 from 20.

12=12

The statement above is true, so we know our solution is correct.

The solution to the equation is d=4.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

0.6

39mph

step-by-step explanation: