Answer:
y-intercept is 8
x-intercept is 24
Step-by-step explanation:
put equation into slope-intercept form:
x + 3y = 24
3y = -x + 24
y = -1/3x + 8
now we know the y-intercept is at point (0,8)
Answer:
Step-by-step explanation:
A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.
General form of horizontal parabola is
the distance between directrix and focus is the value of p
so p = 8.5 - 9.5 = -0.5
Focus is (h+p , k), given focus is (8.5, -4)
So k = -4 and h+p = 8.5
we know p = -0.5
h +p = 8.5
h - 0.5 = 8.5
so h= 9 and k = -4
vertex is (h,k) that is (9, -4)
Now plug in the value in the general equation
, k= -4, h= 9 , p = -0.5
subtract 18 on both sides
Divide whole equation by -2
All of them are wrong except for the third one
Answer:
En el curso anterior había 430 alumnos.
Step-by-step explanation:
El curso tiene 473 alumnos. Nos dicen que respecto al curso anterior se ha producido un aumento de inscripciones del 10 %. Entonces, siendo x la cantidad de alumnos que había en el curso anterior, se puede plantear la ecuación:
x + 0.1*x= 473
Resolviendo se obtiene:
1.1*x=473
x= 473 ÷1.1
x= 430
<u><em>En el curso anterior había 430 alumnos.</em></u>