Mathematics: A video rental store charges a $20 membership fee and $2.50 for each video rented. Write a linear equation to model this situation. Tell what each variable represents.

A video rental store charges a $20 membership fee

Mochalav6675

28.03.2022

2.5x + 20 = y

Step-by-step explanation:

first, assign a variable to each unknown:

since we don't know how many videos were rented, that can be x, and we don't know the person's total cost, which can be y

x = number of videos rented

y = total cost

so there's always a $20 that's added on as a membership fee, which means that theres going to be a + 20 somewhere.

So, the equation is 2.5x + 20 = y

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datskash

21.11.2020

The vertex is the point (6,-31)

Step-by-step explanation:

we have

$f(x)=x^{2}-12x+5$

This is the equation of a vertical parabola open upward

The vertex is a minimum

Convert the quadratic equation in vertex form

$f(x)=a(x-h)^{2}+k$

where

a is a coefficient

(h,k) is the vertex

Complete the squares

$f(x)=(x^{2}-12x+36)+5-36$

$f(x)=(x^{2}-12x+36)-31$

Rewrite as perfect squares

$f(x)=(x-6)^{2}-31$

therefore

The vertex is the point (6,-31)

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