4 Which statement about the graph of y = 8(0.25)* is true:
F
The coordinates of the x-intercept are (0.25,0).
G
The coordinates of the y-intercept are (0,8).
H
The equation of the asymptote is x = 0.
J
The graph includes the point (2, 1).

  G  The coordinates of the y-intercept are (0, 8).

Step-by-step explanation:

An exponential function does not have a vertical asymptote. This one has a horizontal asymptote at y = 0.

The y-intercept is the value of ...

  f(0) = 8(0.25^0) = 8(1) = 8 . . . . . the point (0, 8)

The graph includes the point ...

  (2, f(2)) = (2, 1/2)

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15