What would the next figure in the geometric pattern below be?

A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service

Yakvenalex [24]

Answer:

Part a) The equation of the line in point slope form is

$y-264.70=39.95(x-6)$

Part b) The equation in slope intercept form is

$y=39.95x+25$

Part c) The setup fee is $25

Step-by-step explanation:

Part a) write an equation in point slope form

Let

x ------> the number of months of service

y -----> the total cost

we know that

The equation of the line in point slope form is

$y-y1=m(x-x1)$

where

m is the slope

(x1,y1) is a point that lie on the line

In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation

$m=39.95\ \frac{\$}{month}$

we have that the point (6,264.70) is a solution of the linear equation

substitute the given values

$y-264.70=39.95(x-6)$ ----> equation in point slope form

Part b) write the equation in slope intercept form

The equation of the line on slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$y-264.70=39.95(x-6)$

Isolate the variable y

Distribute right side

$y-264.70=39.95x-239.70$

Adds 264.70 both sides

$y=39.95x-239.70+264.70$

$y=39.95x+25$

Part c) what is the setup fee?

The setup fee is the y-intercept of the linear equation

The y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the total cost when the number of months of service is equal to zero (the cost is equal to the setup fee)

For x=0

$y=39.95(0)+25$

$y=\$25$

The setup fee is $25

8 0

3 years ago

How many milligrams are equal to 63 grams?

dexar [7]

Answer:

It's 63,000 milligrams

Step-by-step explanation:

Multiply the mass by 1000, and you get your answer, 63 x 1000 = 63000

5 0

3 years ago

After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They st

ivanzaharov [21]

Answer:

$m=37h-1500$ .

Step-by-step explanation:

Let m represent meters and h represent hours.

We have been given that Captain Brain and Mr. Pinky start 1500 meters below the surface of the water and ascend at 37 meters per hour.

Since the submarine ascends at a rate of 37 meters per hour, so elevation of submarine after h hours would be $37h$ .

Since the elevation under water surface is negative, so 1500 meters below the surface of water would be $-1500$ .

The final elevation in meters of submarine after h hours would be initial elevation plus change in elevation after h hours that is $m=37h-1500$ .

Therefore, the equation $m=37h-1500$ . represents the given scenario.

8 0

4 years ago

Evaluate the expression for x =5 and y= 1 (x-7y)² pretty confused

sveticcg [70]

Answer:

-4

Step-by-step explanation:

So since x=5 and y= 1 the new expression would be 1(5-7) to the second power. Using pemdas, 5-7 is -2. -2 to the second power is -4. negative 4 times 1 is negative 4.

5 0

3 years ago

Read 2 more answers

1. Simplify the radical expression √50 A. 5√2 B. 2√5 C. 5√10 D. 5

defon

/50 = /25•2
/25 • /2 further written as
5 • /2 simplified form

so A

6 0

3 years ago