Answer:
8.2 minutes
So 13 miles would take you roug.hly 8.2 minutes... so going the average speed limit would get you there very
Step-by-step explanation:
The answer for #4 is C. 21x-82
Quantity of gasoline needed by a car to run 800 miles = 30 gallons
Quantity of gasoline needed by a car to run 1 mile =
= 30 ÷ 800
= 0.0375 gallons
So , to run 1 mile a car would need = 0.0375 gallons of oil
To run 700 miles the quantity of gasoline needed =
= 700 × 0.0375
= 26.25 gallons of gasoline
Therefore , a car will use 26.25 gallons of gasoline on a trip of 700 miles .
75,000 divided by 150, is 500, meaning they allow 500 people per acre. 500 times 145 is 72,500, meaning the capacity for a park your size should be 72,500 people.
Answer:
![y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}](https://tex.z-dn.net/?f=y%20%3D%203%5Cleft%28x-%5Cdfrac%7B3%7D%7B2%7D%5Cright%29%5E2%2B%5Cdfrac%7B41%7D%7B4%7D)
Step-by-step explanation:
Given equation:
![y = 3x^2 - 9x + 17](https://tex.z-dn.net/?f=y%20%3D%203x%5E2%20-%209x%20%2B%2017)
Factor out 3 from the first 2 terms:
![y = 3(x^2 - 3x) + 17](https://tex.z-dn.net/?f=y%20%3D%203%28x%5E2%20-%203x%29%20%2B%2017)
Divide the coefficient of x by 2 and square it: (-3 ÷ 2)² = 9/4
Add this inside the parentheses and subtract the distributed value of it outside the parentheses:
![y = 3\left(x^2 - 3x+\dfrac{9}{4}\right) + 17-\dfrac{27}{4}](https://tex.z-dn.net/?f=y%20%3D%203%5Cleft%28x%5E2%20-%203x%2B%5Cdfrac%7B9%7D%7B4%7D%5Cright%29%20%2B%2017-%5Cdfrac%7B27%7D%7B4%7D)
Factor the parentheses and combine the constants:
![y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}](https://tex.z-dn.net/?f=y%20%3D%203%5Cleft%28x-%5Cdfrac%7B3%7D%7B2%7D%5Cright%29%5E2%2B%5Cdfrac%7B41%7D%7B4%7D)