What is the equation of the line that is parallel to y =1/5x+4 and that passes through (5,-4)?
y=-5x-29
y=-5x+21
y=1/5x-4
y=1/5x-5

y=(1/5)x-5

Step-by-step explanation:

The given equation is

y=(1/5)x+4

This is of the form

y=mx+b

which is called the slope-intercept form because

m is the slope

b is the y intercept.

In this case,

m=1/5

b=4

you can see from the chart that this matches the red line.

If two lines are parallel, they must have the same slope. So we know that the slope of the desired line is 1/5.  So, now we know that

y=(1/5)x+b

Since the line must go through the point (5,-4), we have

-4=(1/5)(5)+b

-4=1+b

b=-5

So, the desired line is

y=(1/5)x-5

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages