Convert 80 miles an hour to 40 feet per second?

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

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

julia-pushkina [17]

With respect to the parent function y = cos x, we have these function according to the order of the graphs:

cos x
cos (1/2)x
cos 4x
cos 2x
cos (1/4)x

<h3>How to find the functions corresponding to each graph based on the period of a function</h3>

Mathematically speaking, cosines are periodic functions and period (T) is the distance in the horizontal axis such that f(t + T) = f(t). The period of the parent cosine function is 2π. Period in daughter functions may vary by means of the following form:

y = cos Ax (1)

Where:

x - Independent variable
y - Dependent variable
A - Period width

Please notice that daughter functions report periods longer than in the parent function for 0 < A < 1 and a shorter one for A > 1. In consequence, these functions appear in the following order:

cos x
cos (1/2)x
cos 4x
cos 2x
cos (1/4)x

To learn more on periodic functions: brainly.com/question/26369761

#SPJ1

6 0

2 years ago

One day in January the temperature dropped steadily from 3 degrees to negative 3 degrees. What was the change in temperature?

eduard

The change in temperature is -6 Degrees

6 0

3 years ago

Read 2 more answers

The helicopter can travel 75 miles per hour. How many miles per minute can the helicopter travel?

Contact [7]

Answer:

4.69 miles per minute

Step-by-step explanation:

75 ÷ 60 (60 minutes in an hour) = 4.6875

4.6875 rounded to the nearest hundredth is 4.69

8 0

3 years ago

Which addition sentence could help solve 3+5+7

ahrayia [7]

Commutative property: a + b = b + a

3 + 5 + 7 = 3 + 7 + 5 = 10 + 5 = 15

4 0

4 years ago