Answer:
1/1001 < 4/10 < 49/100 < 357/10
Step-by-step explanation:
4/10 => 0.4
49/100 => 0.49
357/10 => 35.7
1/1001 => 0.0009
Ascending order is from smallest to the greatest.
200-3w = 300-5w
Where w is the number of weeks
Rearrange and reduce:
-3w + 5w = 300-200
2 w = 100
w = 100/2 = 50 weeks
By looking at the graph you can rule out choices C and D because the graph given to you is an increasing linear function and C and D represent functions with a decreasing or negative slope.
By looking at the picture the slop of the graph seems to be 4/1 (rise/run) so your slope is 4. And your y-intercept looks like its -4 so your answer is B<span />
it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.
Let h(t) represent the height of the ball at time t.
Given that the height is given by:
h(t) = -16t² + 80t + 40
1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:
40 = -16t² + 80t + 40
16t² - 80t = 0
t(t - 5) = 0
t = 0 or t = 5
Hence it takes 5 seconds to reach a height of 40 ft.
2) The maximum height is at h'(t) = 0,
h'(t) = -32t + 80
-32t + 80 = 0
32t = 80
t = 2.5
It takes 2.5 seconds to reach maximum height.
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