Write a system of equations Nextel has an initial fee of $125 and charges $50 a month. AT&T has an initial fee of $75 and charges $60 a month. Write a system of equations Nextel has an initial fee of $125 and charges $50 a month. AT&T has an initial fee of $75 and charges $60 a month. Write a system of equations Nextel has an initial fee of $125 and charges $50 a month. AT&T has an initial fee of $75 and charges $60 a month. Write a system of equations Nextel has an initial fee of $125 and charges $50 a month. AT&T has an initial fee of $75 and charges $60 a month. Write a system of equations Nextel has an initial fee of $125 and charges $50 a month. AT&T

The total costs will be the same at the 5-month

Step-by-step explanation:

The question is

After how many months will the cost be the same?

Let

x ---> the number of months

y ---> the total charge

we know that

The linear equation in slope intercept form is equal to

where

m is the slope

b is the y-intercept

Nextel

we have

The slope is equal to

The y-intercept is equal to

substitute

---> equation A

AT&T

we have

The slope is equal to

The y-intercept is equal to

substitute

---> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (5,375)

see the attached figure

therefore

The total costs will be the same at the 5-month

Prior to 5 months, Nextel is more expensive.

After 5 months, AT&T is more expensive

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.