Hey there! :)
5n(3n - n + 8)
Simplify.
(5n × 3n) + (5n × -n) + (5n × 8)
Simplify.
(15n²) + (-5n²) + (40n)
Remove parenthesis
**Remember : a negative times a positive is always a negative, a positive times a positive is a positive, and a negative times a negative is a positive**
15n² - 5n² + 40n
Combine like terms.
(15n² - 5n²) + 40n
Simplify.
10n² + 40n → final answer :)
~Hope I helped!~
After 79 weeks the tanks will have the same amount of water.
948-7*79=395
711-4*79=395
Answer:
(a) Equation: ![T_n = 11.25 - 1.25n](https://tex.z-dn.net/?f=T_n%20%3D%2011.25%20-%201.25n)
(b) 7.5 gallons
Step-by-step explanation:
Given
Current Gas = 10 gallon
Every Hour = -1.25 gallon
Solving for (a): An equation for the scenario
This question represents an Arithmetic Progression and will be solved using the following formula:
![T_n = a + (n - 1)d](https://tex.z-dn.net/?f=T_n%20%3D%20a%20%2B%20%28n%20-%201%29d)
Where
![a = 10](https://tex.z-dn.net/?f=a%20%3D%2010)
![d = -1.25](https://tex.z-dn.net/?f=d%20%3D%20-1.25)
Substitute these values in the formula
![T_n = 10 + (n - 1) * -1.25](https://tex.z-dn.net/?f=T_n%20%3D%2010%20%2B%20%28n%20-%201%29%20%2A%20-1.25)
![T_n = 10 -1.25n +1.25](https://tex.z-dn.net/?f=T_n%20%3D%2010%20-1.25n%20%2B1.25)
Collect Like Terms
![T_n = 10 + 1.25 - 1.25n](https://tex.z-dn.net/?f=T_n%20%3D%2010%20%2B%201.25%20-%201.25n)
![T_n = 11.25 - 1.25n](https://tex.z-dn.net/?f=T_n%20%3D%2011.25%20-%201.25n)
Solving for (b): In this case, n - 3
Substitute 3 for n in ![T_n = 11.25 - 1.25n](https://tex.z-dn.net/?f=T_n%20%3D%2011.25%20-%201.25n)
![T_3 = 11.25 - 1.25 * 3](https://tex.z-dn.net/?f=T_3%20%3D%2011.25%20-%201.25%20%2A%203)
![T_3 = 11.25 - 3.75](https://tex.z-dn.net/?f=T_3%20%3D%2011.25%20-%203.75)
![T_3 = 7.5](https://tex.z-dn.net/?f=T_3%20%3D%207.5)
<em>7.5 gallon of gas left</em>
Answer:A
Step-by-step explanation:I’m pretty sure that the answer is rotation because it is clear that the triangle rotated over the graph.
Answer:
if -11i^3 =-11^3 and -11i^3=11i then -11^3=11i
if I'm wrong pls correct me but I'm pretty sure this is