Answer:
<h3>A. 1 hour</h3>
Step-by-step explanation:
If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;
On equating:
75 + 50x, = 75x + 50
collect like terms'
50x-75x = 50-75
-25x = -25
divide both sides by -25
-25x/-25 = -25/-25
x = 1
hence the number of hours each company will have to clean to cost the same amount is 1 hour
Answer:
slope= -2
Step-by-step explanation:
using
you plug in the values of (-2,4) and (0,0)
=![\frac{0-4}{0-(-2)}](https://tex.z-dn.net/?f=%5Cfrac%7B0-4%7D%7B0-%28-2%29%7D)
=![\frac{-4}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%7D%7B2%7D)
= -2
Answer:
72 inches
Step-by-step explanation:
12 × 6 = 72
Answer: There are 72 inches in 6 feet
The series is a convergent p-series with p = 3
<h3>How to know it is a divergent or a convergent series</h3>
We would know that a series is a convergent p series when we have ∑ 1 np. Then you have to be able to tell if the series is a divergent p series or it is a convergent p series.
The way that you are able to tell this is if the terms of the series do not approach towards 0. Now when the value of p is greater than 1 then you would be able to tell that the series is a convergent series.
The value of ![\sqrt{9}= 3](https://tex.z-dn.net/?f=%5Csqrt%7B9%7D%3D%203)
The formular for this is
∑![\frac{1}{n^p} \\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bn%5Ep%7D%20%5C%5C)
where n = 1
we know it is convergent because p is greater than 1. 3>1
Read more on convergent series here:
brainly.com/question/337693
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