<u>Part 1</u>
The value of y is twice that of x, so the equation is y = 2x.
<u>Part 2</u>
Substituting in x = 14, we get y = 2(14) = 28.
Answer: 12
Step-by-step explanation:
Answer:
4 / 9
Step-by-step explanation:
Solution:-
- Michael bus rental agency has a total of n = 18 buses.
- Out all the available buses he has r = 8 buses with AC in them.
- If we were to randomly select a bus from his agency what is the probability that the bus would have an AC:
P ( Bus with AC ) = Favorable Outcomes / Total outcomes
= Number of bus with AC / Total Buses
= r / n
= 8 / 18
= 4 / 9
Answer:
43
Step-by-step explanation:
1+2->12^-4=1243
Answer:
Step-by-step explanation:
Hello,
We need to express this parabola using this kind of expression
and then, the line of symmetry will be the line x = b
Let's do it !
![\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }](https://tex.z-dn.net/?f=%5Ctext%7B%2A%2A%2A%20Complete%20the%20square%20%2A%2A%2A%7D%20%5C%5C%20%5C%5C%20x%5E2%2Bx%3Dx%2B2%5Ccdot%20%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%20x%3D%28x%2B%5Cdfrac%7B1%7D%7B2%7D%29%5E2-%5Cdfrac%7B1%5E2%7D%7B2%5E2%7D%3D%28x%2B%5Cdfrac%7B1%7D%7B2%7D%29%5E2-%5Cdfrac%7B1%5E2%7D%7B4%7D%20%5C%5C%20%5C%5C%20%5Ctext%7B%2A%2A%2A%20Apply%20it%20to%20our%20parabola%20%7D%20%5C%5C%20%5C%5Cy%3D-x%5E2-x%2B2%3D-%28x%5E2%2Bx%29%2B2%3D-%5B%28x%2B%5Cdfrac%7B1%7D%7B2%7D%29%5E2-%5Cdfrac%7B1%7D%7B4%7D%5D%2B2%20%3D%20-%28x%2B%5Cdfrac%7B1%7D%7B2%7D%29%5E2%2B%5Cdfrac%7B1%2B2%2A4%7D%7B4%7D%3D%20-%28x%2B%5Cdfrac%7B1%7D%7B2%7D%29%5E2%2B%5Cdfrac%7B9%7D%7B4%7D%20%5C%5C%20%5C%5C%20%5Ctext%7B%2A%2A%2A%20It%20comes%20%2A%2A%2A%7D%20%5C%5C%20%5C%5C%20%5CLarge%20%5Cboxed%7B%5Csf%20%5C%20%5C%20y%3D-%28x%2B%5Cdfrac%7B1%7D%7B2%7D%29%5E2%2B%5Cdfrac%7B9%7D%7B4%7D%20%5C%20%5C%20%7D)
So the line of symmetry is
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
