1/3=3:9
since 1×3=3
3×3=9
Answer:
Step-by-step explanation:
The height of the marshmallow (in feet) is represented by the equation h=−16t2+8t+48,
where t is the time (in seconds) after he throws the marshmallow.
The equation is a quadratic equation. When the marshmallow hits the ground, its height from the ground will be zero. Therefore
−16t^2+8t+48 = 0
- 2t^2 + t + 6 = 0
Multiplying through by the negative sign. It becomes
2t^2 - t - 6 = 0
2t^2 + 3t - 4t - 6 = 0
t(2t + 3) - 2(2t + 3) = 0
(t - 2)(2t + 3) = 0
t - 2 = 0 or 2t + 3 = 0
t = 2 or t = - 3/2
The time cannot be negative
So it will take 2 seconds to hit the ground
Try this suggested option (all the details are in the attachment), the correct orientation is marked with red and green colours.
P.S. The point C has coordinates: (3;1). If to traslate it 6 units right and 5 units down, then (3+6;1-5) ⇒ (9;-4). The same principle is for the others points A, B and D. Note, after translation point A is point E, B⇒F, C⇒G and D⇒H.
It is expressed as x=a when a equals the x-intercept.
e.g. a straight vertical line through (0,4) has the equation x=4.
Answer:
<u>The probability of winning three games in a row is 1/64 or 1.6%</u>
Step-by-step explanation:
Probability of winning a game = 1/4
Probability of winning two games in a row = 1/4 * 1/4 = 1/16
Probability of winning three games in a row = 1/4 * 1/4 * 1/4 = 1/64
Probability of winning three games in a row = (1/4)³ = 1/64
1/64 = 0.015625
1/64 = 1.6% (rounding to the next tenth)
