Answer:

Step-by-step explanation:
Let
y ----> the total cost for renting the popcorn machine
x ----> the time in hours
we know that
The total cost of renting a popcorn machine for 6 hours is $48
so
using proportion
Find out the total cost for renting the popcorn machine for x hours

Is a linear direct variation
The constant of proportionality or slope is equal to

That means ----> the total cost is $8 per hour
Answer:
Option B, Spencer did not factor the polynomial completely; 16x^2−1 can be factored over the integers.
Step-by-step explanation:
<u>Step 1: Factor</u>
256x^4y^2−y^2
y^2(256x^4 - 1)
y^2(16x^2 - 1)(16x^2 + 1)
<em>y^2(</em><em>4x + 1)(4x - 1</em><em>)(16x^2 + 1)</em>
<em />
Answer: Option B, Spencer did not factor the polynomial completely; 16x^2−1 can be factored over the integers.
Answer: The least number of minutes that he has used his phone in a month is 1248
Step-by-step explanation:
Let m represent the number of minutes that he used his phone in a month.
For his phone service, Michael pays a monthly fee of $16, and he pays an additional $0.04 per minute if use. This means that if he used m minutes in a month, the total cost would be
16 + 0.04m
The least he has been charged in a month is $69.52. This means that
16 + 0.04m ≥ 65.92
0.04m ≥ 65.92 - 16
0.04m ≥ 49.92
m ≥ 49.92/0.04
m ≥ 1248 minutes
Answer:399
Step-by-step explanation:
Given
baseball consist of Nine innings and there are 9 different Positions in baseball thus there are total of 9! ways in which a line can be formed
but in a single game there are 9 innings so there are 
and there are 101 games in single season so total no of season a team can play without repeating the same line-up

so a team can play a total of 399 season with different line up in every game.