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9514 1404 393
Answer:
4a +4
Step-by-step explanation:
The average rate of change of f(x) on the interval is ...
(f(a) -f(1))/(a -1)
= ((4a² -6) -(4(1)² -6))/(a -1) = (4a² -4)/(a -1)
= 4(a² -1)/(a -1) = 4(a +1) = 4a +4
The average rate of change on the interval is 4a +4.
(1/3) * (2/8) - (5/12 - 1/4) = 1/12 -2/12 = -1/12
2/3*1=2/3
nine and seven hundred sixty eight
thousandths
Answer: A. (3,-2)
Step-by-step explanation:
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 4x = 5y + 22
[2] x = 5y/4 + 11/2
// Plug this in for variable x in equation [1]
[1] 2•(5y/4+11/2) + 5y = -4
[1] 15y/2 = -15
[1] 15y = -30
// Solve equation [1] for the variable y
[1] 15y = - 30
[1] y = - 2
// By now we know this much :
x = 5y/4+11/2
y = -2
// Use the y value to solve for x
x = (5/4)(-2)+11/2 = 3
Solution :
{x,y} = {3,-2}
Gravity is inversely proportional to the square of the distance.
In English:
Your weight at the Earth's surface and your weight 850 miles above the Earth's surface decreases by a factor of
(4,750 / 3,900) ^ 2 =
<span>
<span>
<span>
1.483399080
</span>
</span>
</span>
So your weight would decrease by (your weight /
<span>
<span>
<span>
1.483399080
</span>
</span>
</span>
)
If you weigh 180 pounds, at 850 miles above the Earth your weight is
180 /
<span>
<span>
<span>
1.483399080
</span>
</span>
</span>
which equals
<span>
<span>
<span>
121.3429362515
</span>
</span>
</span>
pounds.
