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)
Answer:
3
Step-by-step explanation:
12 divided by 4 is 3. Therefor 1/4 of 12 is 3.
The answer is cA cus Ca is the answer
Answer:
8 inches
Step-by-step explanation:
90 miles -------------> represented by 3 inches
1 mile -------------> represented by 3/90 inches
240 miles ----------> represented by 3/90 x 240 = 8 inches
Answer:
5 and -4.5
Step-by-step explanation:
10/2=5
and -9/2=-4.5
-5 -4.5 -4 -3 -2 -1 0 1 2 3 4 5