Fraction: 26/3
Decimal: 8.6
112 * .09 = 10.08 that is the sales tax
112+10.08 =122.08 is the total amount paid
Answer:
Step-by-step explanation:
5x - 4(2x - 5) = -10
5x - 8x + 20 = -10
-3x = -30
x = 10
y = 2(10) - 5 = 20 - 5 = 15
(10, 15)
Answer:
y = 1/6 x^2 + 8/3 x + 49/6
Step-by-step explanation:
This is a parabola which opens upwards.
The distance of a point (x, y) from the focus is
√[(x - -8)^2 + (y - -1)^2] and
the distance of the point from the line y = -4
= y - -4
These distances are equal for a parabola so:
√[(x - -8)^2 + (y - -1)^2] = y + 4
Squaring both sides:
(x + 8)^2 + (y + 1)^2 = (y + 4)^2
x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16
x^2 + 16x + 64 + 1 - 16 = 8y - 2y
6y = x^2 + 16x + 49
y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.