Answer:
The answer is C.
Step-by-step explanation:
Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.
In this case, the initial postion is a platform 30ft above ground so h0=+30
The initial velocity is 38 ft/s straight up into the air so v0=+38
h(t)=-16t2+38t+30
When the object hits the ground, h=0.
h=-16t2+38t+30=0
Simplifying 8t2-19t-15=0
(8t+5)(t-3)=0
t=-5/8 or 3
As time cannot be -ve, t=3s. The answer is C.
Check the forward differences of the sequence.
If , then let be the sequence of first-order differences of . That is, for n ≥ 1,
so that .
Let be the sequence of differences of ,
and we see that this is a constant sequence, . In other words, is an arithmetic sequence with common difference between terms of 2. That is,
and we can solve for in terms of :
and so on down to
We solve for in the same way.
Then
and so on down to
A rational number is a number that can be expressed as a fraction, therefore all integers are rational numbers
Answer:
Step-by-step explanation:
Hope I helped!
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10+5x=7x-4
1. simplify 7x - 5x
10=2x-4
2. add four to both sides
10+4=2x
+ 4 4
14=2x
3. divide 14 to both sides
14=2x
x=7