<span>4w^3−8w+12 = 4 (w^3 - 2w + 3)
</span><span>5t^2+20t+50 = 5 (t^2 + 4t + 10)</span>
The equation modeling the height of the ball at time,t is given by h=-16t²+48t+6
<span>a. In how many seconds does the ball reach its maximum height?
Time taken for the ball to reach the maximum height will be given by:
h'(t)=-32t+48=0
finding the value of t we get:
32t=48
t=48/32
t=1.5 seconds
Thus the time taken for the ball to reach the maximum time is 1.5 seconds
b]</span><span> What is the ball’s maximum height?
The maximum height will be:
h(1.5)=-16(1.5)</span>²+48(1.5)+6
h(1.5)=42 fee
Answer:
Step-by-step explanation:
The hardware store has 200 paintbrushes. They order 9 boxes with 12 paintbrushes each. This means that the total number of paintbrushes that was ordered is
12 × 9 = 108
Therefore, the total number of paintbrushes that the store has would be
200 + 108 = 308
They sell 11 boxes that have 6 paintbrushes each. This means that the total number of paintbrushes that they sold is
11 × 6 = 66
Therefore, the number of paintbrushes left would be
308 - 66 = 242
The manager's estimate is reasonable. They ordered about 120 paintbrushes and sold about 60 of them so they should have about 60 more paintbrushes than they started with.
<span><span>12</span>-<span>105</span>-5 = -<span>132</span> = -6<span>12</span> = -6.5 that is the answer i think check it but i think its right</span>
