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
The y intercept is the point where the line crosses the y (vertical) axis. So the y intercept is the point (0,3). The slope is 3/2
Tenemos un problema sobre porcentajes. Veremos que la calificación del alumno es un 80%.
En este caso sabemos que la prueba tiene 70 preguntas, por lo que la cantidad de referencia (el 100%) será 70.
Y sabemos que el estudiante responde correctamente 56 preguntas.
Lo que queremos hacer es ver que porcentaje representa este segundo número.
Para ver esto planteamos dos ecuaciones:
56 = x
70 = 100%
Para resolver esto, debemos ver el cociente entre esas ecuaciones:
56/70 = x/100%
Ahora resolvemos para x:
(56/70)*100% = x = 80%
Es decir, el alumno obtiene una clasificación del 80%.
Si quieres aprender más puedes leer:
brainly.com/question/18546712
If an item is $15.20 is increased by 125% (34.20) it would be about $34.20 before we subtract 10% (3.42)....we arrive at the end cost of $30.78.
wholesale price would be 15.20
Answer:
41/333
Step-by-step explanation:
