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
Answer:
£2112
Step-by-step explanation:
To find Gavin's share, sum the parts of the ratio, 4 + 1 = 5 parts
Divide the win by 5 to find the value of one part of the ratio.
£8800 ÷ 5 = £1760 ← value of 1 part of ratio, thus
4 parts = 4 × £1760 = £7040 ← Gavin's share
Now repeat the process with the ratio for his family
1 + 6 + 3 = 10 parts
£7040 ÷ 10 = £704 ← value of 1 part of the ratio, thus
6 × £704 = £4224 ← wife's share
3 × £704 = £2112 ← son's share
Difference = £4224 - £2112 = £2112
Thus his wife gets £2112 more than the son
Answer:
3 pm
Step-by-step explanation:
Because 3x5 = 15 and 5x3=15 so it would be at 3 pm
.5 -(-7) would be just 7 because of the imaginary -1 it’s being multiplied 7+1+3-7=11 then divide
Answer:
-3
Step-by-step explanation:
f(x)=2x+1
f(-2)=2(-2)+1=-4+1=-3
