The Nth term of the sequence is
T(n) = 2 + 4n or <em>2 (2n + 1)</em> .
Let x be the number.
Then;
6x-18=-42 (solve for x now)
6x=-42+18
6x=-24
x=-4
Therefore, this number would be -4.
Hope I helped :)
Answer:
F. 6s > 4s +8
Step-by-step explanation:
From a reference point at the beginning of the track, Ward's car will be located 4s+8 feet down the track after s seconds. That is, it starts 8 feet down the track, and increases its distance by 4 feet every second.
From the same reference point, Heskey's car will be located 6s feet down the track after s seconds. Its distance starts from zero and is increasing at the rate of 6 feet every second.
For Heskey's distance to exceed Ward's distance you want ...
6s > 4s +8 . . . . . . matches choice F
A number is :
![x](https://tex.z-dn.net/?f=x)
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Three quarters of it means :
![\frac{3}{4}x \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7Dx%20%5C%5C%20%20)
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Decrease by 20 means :
![\frac{3}{4}x - 20 \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7Dx%20-%2020%20%5C%5C%20%20)
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Equals to 82 means :
![\frac{3}{4}x - 20 = 82 \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7Dx%20-%2020%20%3D%2082%20%5C%5C%20%20)
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What is that number ?
x asked so we must solve the above equation for x.
Let's do it....
![\frac{3}{4}x - 20 = 82 \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7Dx%20-%2020%20%3D%2082%20%5C%5C%20%20)
Plus sides 20
![\frac{3}{4}x = 82 + 20 \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7Dx%20%3D%2082%20%2B%2020%20%5C%5C%20%20)
![\frac{3}{4}x = 102 \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7Dx%20%3D%20102%20%5C%5C%20%20)
Multiply sides by 4
![3x = 102 \times 4](https://tex.z-dn.net/?f=3x%20%3D%20102%20%5Ctimes%204)
Divided sides by 3
![x = \frac{102 \times 4}{3} \\](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B102%20%5Ctimes%204%7D%7B3%7D%20%5C%5C%20%20)
![x = \frac{102}{3} \times 4 \\](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B102%7D%7B3%7D%20%5Ctimes%204%20%5C%5C%20%20)
Simplify
![x = 34 \times 4](https://tex.z-dn.net/?f=x%20%3D%2034%20%5Ctimes%204)
![x = 136](https://tex.z-dn.net/?f=x%20%3D%20136)
So that number is 136 .
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And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
<u>5 hours</u><u> long would it take the </u><u>faster </u><u>maid cleaning alone.</u>
What is a linear equation in math?
- A linear equation only has one or two variables.
- No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
- When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.
Suppose, time taken by faster maid be x , hours.
So, time taken by slower maid ,
( 4 time faster maid )
Now, time taken by both of the made together is given by ,
![( \frac{x_{1}x_{2} }{x_{1} + x_{2} } )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7Bx_%7B1%7Dx_%7B2%7D%20%20%7D%7Bx_%7B1%7D%20%2B%20x_%7B2%7D%20%7D%20%29)
![\frac{x_{1}(4x_{1} ) }{x_{1} + 4x_{1} } = 4 hours](https://tex.z-dn.net/?f=%5Cfrac%7Bx_%7B1%7D%284x_%7B1%7D%20%29%20%7D%7Bx_%7B1%7D%20%2B%204x_%7B1%7D%20%7D%20%20%3D%204%20hours)
![\frac{4x_{1} }{5} = 4 hours](https://tex.z-dn.net/?f=%5Cfrac%7B4x_%7B1%7D%20%7D%7B5%7D%20%20%3D%204%20hours)
which is the time required by faster maid.
Learn more about linear equation
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